The work of Glenn F. Webb
Pages: v  xvi,
Issue 4,
August
2015
doi:10.3934/mbe.2015.12.4v Abstract
References
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William E. Fitzgibbon  College of Technology, University of Houston, Houston, Texas 770064021, United States (email)
1 
Representation of nonlinear nonexpansive semigroups of transformations in Banach spaces, J. Math. Mech., 19 (1969), 159170. 

2 
Nonlinear evolution equations and product integration in Banach spaces, Trans. Amer. Math. Soc., 148 (1970), 273282. 

3 
Product integral representation of time dependent nonlinear evolution equations in Banach spaces, Pacific J. Math., 32 (1970), 269281. 

4 
Nonlinear evolution equations and product stable operator on Banach spaces, Trans. Amer. Math. Soc., 155 (1971), 409426. 

5 
Continuous nonlinear perturbations of linear accretive operators in Banach spaces, J. Functional Analysis, 10 (1972), 191203. 

6 
Dual spaces of spaces of quasicontinuous functions, Mathematische Nachrichten, 55 (1973), 309323. 

7 
Nonlinear perturbation of linear accretive operators in Banach spaces, Israel J. Math., 12 (1972), 237248. 

8 
Accretive operators and existence for nonlinear functional differential equations, J. Differential Equations, 14 (1973), 5769. 

9 
Autonomous nonlinear functional differential equations and nonlinear semigroups, J. Math. Anal. Appl., 46 (1974), 112. 

10 
Abstract scattering for nonlinear evolution equations, Math. Systems Theory, 8 (1974), 347352. 

11 
An application of accretive operator theory to a nonlinear complex heat equation, Bollettino dell Unione Mathematica ltaliana, 11 (1975), 604609. 

12 
(with H. Riedl) Relative boundedness conditions and the perturbation of nonlinear operators, Czechoslovak Math. J., 24 (1974), 395418. 

13 
(with C. Travis) Existence and stability for partial functional differential equations, Trans. Amer. Math. Soc., 200 (1974), 395418. 

14 
Asymptotic stability for abstract nonlinear functional differential equations, Proc. Amer. Math. Soc., 54 (1976), 225230. 

15 
Functional differential equations and nonlinear semigroups in Lp spaces, J. Differential Equations, 20 (1976), 7189. 

16 
(with C. Travis) Partial differential equations with deviating arguments in the time variable, J. Math. Anal. Appl., 56 (1976), 397409. 

17 
Linear functional differential equations with L2 initial functions, Funkcialaj Ekvacioj., 19 (1976), 6577. 

18 
(with G. Reddien) Bound, ary value problems for functional differential equations with L2 initial functions, Trans. Amer. Math. Soc., 223 (1976), 305321. 

19 
(with C. Travis) Existence and stability for partial functional differential equations, in Dynamical Systems, Vol. 2 International Symposium, Academic Press, New York, 1976, 147151. 

20 
Regularity of solutions to an abstract inhomogeneous linear differential equations, Proc. Amer. Math. Soc., 62 (1977), 272277. 

21 
Exponential representation of solutions to an abstract semilinear differential equations, Pacific J. Math., 70 (1977), 269279. 

22 
Asymptotic stability in the anorm for an abstract nonlinear Volterra integral equation, in Stability of Dynamical Systems, Theory and Applications, Lecture Notes in Pure and Applied Mathematics, Marcel Dekker, New York, 28 (1977), 207211. 

23 
Volterra integral equations and nonlinear semigroups, Nonl. Anal. Theory Math. Appl., 1 (1977), 415427. 

24 
Volterra integral equations as functional differential equations on infinite intervals, Hiroshima Math. J., 7 (1977), 6170. 

25 
(with C. Travis) Compactness, regularity, and uniform continuity properties of strongly continuous cosine families, Houston J. Math., 3 (1977), 555567. 

26 
(with C. Travis) Existence, stability, and compactness in the anorm for partial functional differential equations, Trans. Amer. Math. Soc., 240 (1978), 129143. 

27 
(with C. Travis) Cosine families and abstract nonlinear second order differential equations, Acta Math., 32 (1978), 7596. 

28 
An abstract semilinear Volterra intergrodifferential equation, Proc. Amer. Math. Soc., 69 (1978), 255260. 

29 
(with G. Reddien) Numerical approximation of nonlinear functional differential equations with L2 initial functions, SIAM J. Math Anal., 9 (1978), 11511171. 

30 
(with C. Travis) An abstract second order semilinear Volterra intergrodifferential equation, SIAM J. Math. Anal., 10 (1979), 412424. 

31 
(with C. Travis) Perturbations of strongly continuous cosine family generators, Colloquium Mathematicum, 45 (1981), 277285. 

32 
A bifurcation problem for a nonlinear hyperbolic partial differential equation, SIAM J. Math. Anal., 10 (1979), 922932. 

33 
(with C. Travis) Second order differential equations in Abstract Spaces, in Proceedings of the Symposium on Nonlinear Equations in Abstract Spaces, Academic Press, New York, 1978, 331361. 

34 
Abstract Volterra integrodifferential equations and a class of reactiondiffusion equations, in Voleterra Equations (Proceedings of Helsinki Symposium on Integral Equations, Otaniemi, 1978), Lecture Notes in Mathematics, SpringerVerlag, Berlin, 737 (1979), 295303. 

35 
A representation formula for strongly continuous cosine families, Aequationes Mathematicae, 21 (1980), 251256. 

36 
Existence and asymptotic behavior for a strongly damped nonlinear wave equation, Can. J. Math., 32 (1980), 631643. 

37 
Compactness of bounded trajectories of dynamical systems in infinite dimensional spaces, Proc. Royal Soc. Edinburgh, 84 (1979), 1933. 

38 
A reactiondiffusion model for a deterministic diffusive epidemic, J. Math. Anal. Appl., 84 (1981), 150161. 

39 
A deterministic diffusive epidemic model with an incubation period, in Proceedings of the Functional Differential Equations and Integral Equations Conference, West Virginia University, June 1820, 1979, Marcel Dekker, New York, (1981), 119135. 

40 
(with M. Badii) Nonlinear nonautonomous functional differential equations in Lp spaces, Nonlinear Anal., 5 (1981), 203223. 

41 
(with M. Badii) representation of solutions of functional differential equations with timedependent delays, Houston J. Math., 6 (1981), 544577. 

42 
An agedependent epidemic model with spatial diffusion, Arch. Rat. Mech. Anal., 75 (1980), 91102. 

43 
A recoveryrelapse epidemic model with spatial diffusion, J. Math. Biol., 14 (1982), 177194. 

44 
Nonlinear semigroups and agedependent population models, Annali di Mathematica Pura ed Applicata, 129 (1981), 4355. 

45 
A genetics model with agedependence and spatial diffusion, in Proceedings of the Conference on Differential Equations and Applications to Ecology, Epidemics, and Population Problems, Harvey Mudd College, Claremont, California, Academic Press, (1981), 2940. 

46 
Diffusive agedependent population models and an application to genetics, Math. Biosci., 61 (1982), 116. 

47 
Nonlinear agedependent population dynamics with continuous age distributions, in Proceedings of the Conference on Differential Equations and Applications (Schloss Retzhof, Austria), Research Notes in Mathematics Vol. 68, Pitman, Boston (1982), 274294. 

48 
Nonlinear agedependent population dynamics in L1, J. Integral Equations, 5 (1983), 309328. 

49 
The semigroup associated with nonlinear agedependent population dynamics, Internat. J. Comput. Math. Appl., 9 (1983), 487497. 

50 
(with R.VillellaBressan) Nonautonomous functional equations and nonlinear evolution operators, Rend. Sem. Mat. Univ. Padova, 71 (1984), 177194. 

51 
(with K. Kunisch and W. Schappacher) Nonlinear agedependent population dynamics with random diffusion  Hyperbolic partial differential equations, II. Comput. Math. Appl., 11 (1985), 155173. 

52 
A semigroup proof of the SharpeLotka Theorem, in InfiniteDimensional Systems (Proceedings, Retzhof 1983), Lecture Notes in Mathematics, SpringerVerlag, 1076 (1984), 254268. 

53 
Dynamics of populations structured by internal variables, Mathematische Zeitschrift, 189 (1985), 319335. 

54 
Logistic models of structured population growth, Internat. J. Comput. Math. Appl. I, 2A (1986), 527539. 

55 
(with E. Sinestrari) Nonlinear hyperbolic systems with nonlocal boundary conditions, J. Math. Anal. Appl., 121 (1987), 449464. 

56 
A model of proliferating cell populations with inherited cycle length, J. Math. Biol., 23 (1986), 269282. 

57 
An operatortheoretic formulation of asynchronous exponential growth, Trans. Amer. Math. Soc., 303 (1987), 751763. 

58 
(with A. Grabosch) Asynchronous exponential growth in transition probability models of the cell cycle, SIAM J. Math. Anal., 18 (1987), 897907. 

59 
Dynamics of structured populations with inherited properties, Internat. J. Comput. Math. Appl., 13 (1987), 749757. 

60 
(with M. Gyllenberg) Agesize structure in populations with quiescence, Math. Biosci., 86 (1987), 6795. 

61 
Random transitions, size control, and inheritance in cell population dynamics, Math. Biosci., 85 (1987), 7191. 

62 
(with C. Chyan) A probabilistic model of proliferating cell populations with correlation of motherdaughter mitotic times, Ann. Mat. Pura. Appl., 158 (1991), 111. 

63 
(with D. Hardin and P. Takac) A comparison of dispersal strategies for survival of spatially heterogeneous populations, SIAM J. Appl. Math., 48 (1988), 13961423. 

64 
Alpha and beta curves, sistersister and motherdaughter correlations in cell population dynamics, Internat. J. Comput. Math. Appl., 18 (1989), 973984. 

65 
(with D. Hardin and P Takac) Asymptotic properties of a continuousspace discretetime populations model in a random environment, J. Math. Biol., 26 (1988), 361374. 

66 
(with D. Hardin and P. Takac) Dispersion population models discrete in time and continuous in space, J. Math. Biol., 28 (1990), 120. 

67 
Resonance phenomena in cell population chemotherapy models, Rocky Mountain J. Math., 20 (1990), 11951210. 

68 
Semigroup methods in populations dynamics: Proliferating cell populations, in Semigroup Theory and Applications, Lecture Notes in Pure and Applied Mathematics Series, Marcel Dekker, New York, 116 (1989), 441449. 

69 
(with M. Gyllenberg) Quiescence as an explanation of Gompertzian tumor growth, Growth, Development, and Aging, 53 (1989), 2533. 

70 
(With M. Gyllenberg) A nonlinear structured population model of tumor growth with quiescence, J. Math. Biol., 28 (1990), 671694. 

71 
(with M. Gyllenberg) Quiescence in structured population dynamics: Applications to tumor growth, in Mathematical population dynamics (Proceedings of the 2nd International Conference on Mathematical Population Dynamics, New Brunswick, NJ, 1989), Lecture Notes in Pure and Applied Mathematics Series, Marcel Dekker, New York,131 (1991), 4562. 

72 
(with M. Gyllenberg) Asynchronous exponential growth of semigroups of nonlinear operators, J. Math. Anal. Appl., 167 (1992), 443467. 

73 
A cell population model of periodic chemotherapy treatment, in Biomedical Modeling and Simulation, Elsevier Science Publishers, (1992), 8392. 

74 
Asynchronous exponential growth in differential equations with homogeneous nonlinearities, in Differential Equations in Banach Spaces, Lecture Notes in Pure and Applied Mathematics Series, Marcel Dekker, New York, 148 (1993), 225233. 

75 
A nonlinear cell population model of periodic chemotherapy treatment, in Recent Trends in Ordinary Differential Equations, Series in Applicable Analysis, World Scientific Publishing Company, 1 (1992), 569583. 

76 
Convexity of the growth bound of C0semigroups of operators, in Semigroups of Linear and Nonlinear Operators and Applications, Kluwer Academic Publishers, (1993), 259270. 

77 
Asynchronous exponential growth in differential equations with asymptotically homogeneous nonlinearities, Adv. Math. Sci. Appl., 3 (1993/94), 4355. 

78 
Resonances in periodic chemotherapy scheduling, in Proceedings of the First World Congress of Nonlinear Analysts, Tampa, Florida, 1992, Ed. V Lakshmikantham, De Gruyter PubI. (1996), 34633474. 

79 
Growth bounds of solutions of abstract nonlinear differential equations, Diff. Int. Eqs., 7 (1994), 11451152. 

80 
(with W. E. Fitzgibbon and M. E. Parrott) Diffusion epidemic models with incubation and crisscross dynamics, Math. Biosci., 128 (1995), 131155. 

81 
(with W. E. Fitzgibbon and M. E. Parrott) Diffusive epidemic models with spatial and age dependence, Discrete Contin. Dynam. Syst., 1 ( 1995), 3558. 

82 
Periodic and chaotic behavior in structured models of cell population dynamics, in Recent Developments in Evolution Equations, Pitman Res. Notes Math. Series. Longman Sci. Tech., Harlow, 324 (1995), 4049. 

83 
(with Denise Kirschner) A model for treatment strategy in the chemotherapy of AIDS, Bull. Math. Biol., 58 (1996), 367390. 

84 
(with M. Johnson) Resonances in age structured cell population models of periodic chemotherapy, Internat. J. Appl. Sci. Comp., 3 (1996), 5767. 

85 
(with W. E. Fitzgibbon and M. E. Parrott) A diffusive epidemic model for a hostvector system, in Differential Equations and Applications to Biology and to Industry, World Scientific Press, (1996), 401408. 

86 
(with W. Desch and W. Schappacher) Hypercyclic and chaotic semigroups of linear operators, Ergodic Theory Dynam. Syst., 17 (1997), 793819. 

87 
(with W. E. Fitzgibbon, M. Langlais and M. E. Parrott) A diffusive system with age dependence modeling FIV, Nonlinear Anal. Theory Meth. Appl., 25 (1995), 975989. 

88 
(with 0. Arino and M. Kimmel) Mathematical modelling of the loss of telomere sequences, J. Theoret. Biol., 177 (1995), 4557. 

89 
(with J. Dyson and R. VillellaBressan) A singular transport equation modelling a proliferating maturity structured cell population, Canadian Appl. Math. Quart., 4 (1996), 6595. 

90 
(with 0. Arino and E. Sanch.ez) Polynomial growth of telomere loss in a heterogenous cell population, Dynam. Contin. Discrete Impulsive Syst., 3 (1997), 263282. 

91 
(with W. E. Fitzgibbon and M. E. Parrott) A diffusive agestructured SEIRS epidemic model, Meth. Appl. Anal., 3 (1996), 358369. 

92 
(with W. E. Fitzgibbon, J. Morgan and M. E. Parrott) Drug resistance in diffusive epidemic population models, in Advances in Mathematical Population Dynamics  Molecules, Cells and Man, Series in Mathematical Biology and Medicine, World Scientific Press, 6 (1998), 613628. 

93 
(with J. Dyson and R. VillellaBressan) Hypercyclicity of a transport equation with delays, Nonlinear Anal. Theory Meth. Appl., 29 (1997), 13431351. 

94 
(with Denise Kirschner) Understanding drug resistance for monotherapy treatment of HIV infection, Bull. Math. Biol., 59 (1997), 763785. 

95 
(with Denise Kirschner) A mathematical model of combined drug therapy of HIV infection, J. Theoret. Med., 1 (1997), 2534. 

96 
(with W. E. Fitzgibbon, J. Morgan and M. E. Parrott) An age dependent regularization of Martin's problem, in Reaction Diffusion Systems, Lecture Notes in Pure and Applied Mathematics Series, Marcel Dekker, Inc., 194 (1998), 131139. 

97 
(with Denise Kirschner) Qualitative differences in HIV chemotherapy between resistance and remission outcomes, Emerg. Infect. Dis., 3 (1997), 273283. 

98 
(with 0. Arino and E. Sanchez) Necessary and sufficient conditions for asynchronous exponential growth in age structured cell populations with quiescence, J. Math. Anal. Appl., 215 (1997), 499513. 

99 
(with Denise Kirschner) \doititle{Immunotherapy of HIV infection}, J. Biol. Systems, 6 (1998), 7183. 

100 
(with J. Dyson and R. VillellaBressan) An age and maturity structured model of cell population dynamics, in Mathematical Models in Medical and Health Science (Proceedings of the Conference on Mathematical Models in Medical and Health Sciences), Vanderbilt University Press, (1999), 99116. 

101 
(with Li Zhou, Yiping Fu, Mengxing He and Kaitai Song) Solutions of a class of first order partial differential equations with delay, in Proceedings of the Conference on Nonlinear Partial Differential Equations and Applications (Chongquing University, P.R. China, May 2631, 1997), World Scientific Press, Singapore, (1998), 251255. 

102 
(with Miles Cloyd and Denise Kirschner) A model of HIV I disease progression based on virusinduced lymph node homing and hominginduced apoptosis of CD4+ lymphocytes, J. AIDS, 24 (2000), 352362. 

103 
(with J. Dyson and R. VillellaBressan) A Nonlinear age and maturity structured model of population dynamics. I. Basic Theory, J. Math. Anal. Appl., 242 (2000), 93104. 

104 
(with J. Dyson and R. VillellaBressan) A Nonlinear age and maturity structured model of population dynamics. II. Chaos, J. Math. Anal. Appl., 242 (2000), 255270. 

105 
(with P. Magat) Mutation, selection, and recombination in a model of phenotype evolution, Discrete Contin. Dynam. Syst., 6 (2000), 221236. 

106 
(with J. Dyson and R. VillellaBressan) A maturity structured model of a population of proliferating and quiescent cells, Archives of Control Sciences, 9 (1999), 201225. 

107 
(with M. Blaser) Dynamics of bacterial phenotype selection in a colonized host, Proc. Natl. Acad. Sci., 99 (2002), 31353140. 

108 
(with J. Dyson and R. VillellaBressan) Asynchronous exponential growth in an age structured population of proliferating and quiescent cells, Math. Biosci., 177178 (2002), 7383. 

109 
The prime number periodical cicada problem, Discrete Contin. Dynam. Syst. Ser. B, 1 (2001), 387399. 

110 
(with Seema Bajaria, Miles Cloyd and Denise Kirschner) Dynamics of nave and memory CD4+ T lymphocytes in HIVI disease progression, J. AIDS, 30 (2002), 4158. 

111 
(with E. D'Agata and M. A. Horn) The impact of persistent gastrointestinal colonization on the transmission dynamics of vancomycinresistant enterococci, J. Infect. Dis., 185 (2002), 766773. 

112 
The steady state of a tumor cord cell population, J. Evol. Eqs., 2 (2002), 425438. 

113 
(with M. Blaser) Mailborne transmission of anthrax: Modeling and implications, Proc. Natl. Acad. Sci., 99 (2002), 70277032 

114 
(with R. Cutshaw and S.Ruan) A mathematical model of celltocell spread of HIV that includes a time delay, J. Math. Biol., 46 (2003), 425444. 

115 
The silent bomb: The risk of anthrax as a weapon of mass destruction, Proc. Nat. Acad. Sci., 100 (2003), 43554356. 

116 
(with J. Dyson and R. VillellaBressan) A semilinear transport equation with delays, Int. J. Math. Math. Sci., 2003 (2003), 20112026. 

117 
(with J. Dyson and R. VillellaBressan) The steady state of a maturity structured tumor cord cell population, Discrete Contin. Dynam. Syst. Ser. B, 4 (2004), 115134. 

118 
Structured population dynamics, Banach Center Publications, Polish Academy of Sciences, Institute of Mathematics, Mathematical Modelling of Population Dynamics, 63 (2004), 123163. 

119 
(with Seema Bajaria and Denise Kirschner) Predicting differential responses to structured treatment interruptions during HAART, Bull. Math. Biol., 66 (2004), 10931118. 

120 
(with M. Blaser, H. Zhu, S. Ardal and J. Wu) Critical role of nosocomial transmission in the Toronto SARS, outbreak, Math. Biosci. Eng., 1 (2004), 113. 

121 
(with J. Dyson and R. VillellaBressan) The evolution of a tumor cord cell population, Comm. Pure Appl. Anal., 3 (2004), 331352. 

122 
(with E. D'Agata and M. A. Horn) A mathematical model quantifying the impact of antibiotic exposure, surveillance cultures and other interventions on the prevalence of vancomycinresistant enterococci, J. Infect. Dis., 192 (2005), 20042011. 

123 
(with M. Greer and L. PujoMenjouet) A mathematical analysis of the dynamics of prion proliferation, J. Theoret. Biol., 242 (2006), 598606. 

124 
Being prepared: Modeling the response to an anthrax attack, Ann. Int. Med., 142 (2005), 667668. 

125 
(with E.M.C. D'Agata, P. Magal, and S. Ruan) A model of antibiotic resistant bacterial epidemics in hospitals, Proc. Nat. Acad. Sci., 102 (2005), 1334313348. 

126 
(with E. M. C., D'Agata, P. Magal and S. Ruan) Asymptotic behavior in nonsocomial epidemic models with antibiotic resistance, Diff. Int. Eqs., 19 (2006), 573600. 

127 
(with B. Ayati and A. R. A. Anderson) Computational methods and results for structured multiscale models of tumor invasion, SIAM Multiscale Modeling and Simulation, 5 (2006), 120. 

128 
(with J. Pruss, L. PujoMenjouet and R. Zacher) Analysis of a model for the dynamics of prions, Discrete Contin. Dynam. Syst. Ser. B, 6 (2006), 215225. 

129 
(with H. Engler and J. Pruss) Analysis of a model for the dynamics of prions II, J. Math. Anal. Appl., 324 (2006), 98117. 

130 
(with C. Walker) Global existence of classical solutions for a haptotaxis model, SIAM J. Math. Anal., 38 (2007), 16941713. 

131 
(with J. Dyson and R. VillellaBressan) Asymptotic behavior of solutions to abstract logistic equations, Math. Biosci., 206 (2007), 216232. 

132 
(with J. Dyson, R. VillellaBressan and E. Sanchez) Stabilization of telomeres in nonlinear models of proliferating cell lines, J. Theoret. Biol., 244 (2007), 400408. 

133 
Population models structured by age, size and spatial position, in Structured Population Models in Biology and Epidemiology, Lecture Notes in Mathematics, SpringerVerlag, BerlinNew York, 1936 (2008), 149. 

134 
(with E. D'Agata and M. A. Horn) Quantifying the impact of bacterial fitness and repeated antimicrobial exposure on the emergence of multidrugresistant gramnegative bacilli, Math. Mod. Nat. Phenom., 2 (2007), 129142. 

135 
(with M. Greer, P. van den Driessche and L. Wang) Effects of general incidence and polymer joining on nucleated polymerization in a prion disease model, SIAM J. Appl. Math., 68 (2007), 154170. 

136 
(with E. D'Agata, P. Magal, D. Olivier and S. Ruan) Modeling antibiotic resistance in hospitals: The impact of minimizing treatment duration, J. Theoret. Biol., 249 (2007), 487499. 

137 
(with P. Hinow, S. E. Wang, and C. L. Arteaga) Mathematical model separates quantitatively the cytostatic and cytotoxic effects of a HER2 tyrosine kinase inhibitor, Theoret. Biol. Med. Mod., 4 (2007), p14. 

138 
(with J. Dyson, R. VillellaBressan and E. Sanchez), An age and spatially structured model of tumor invasion with haptotaxis, Discrete Contin. Dynam. Syst. Ser. B, 8 (2007), 4560. 

139 
(with J. Dyson and R. VillellaBressan) An age and spatially structured model of tumor invasion with haptotaxis II, Math. Pop. Studies, 15 (2008), 7395. 

140 
(with J. Dyson and R. VillellaBressan) A spatial model of tumor growth with cell age, cell size, and mutation of cell phenotypes, Math. Mod Nat. Phenom., 2 (2007), 69100. 

141 
(with WY. Tan and W. Ke), A state space model for tumor growth and applications, Comp. Math. Meth. Med., 10 (2009), 117138. 

142 
(with J. Dyson and R. VillellaBressan) Global existence and boundedness of solutions to a model of chemotaxis, Math. Mod. Nat. Phen., 3 (2008), 1735. 

143 
(S. E. Wang, P. Hinow, N. Bryce, A. M. Weaver, L. Estrada and C. L. Arteaga) A mathematical model quantifies proliferation and motility effects of TGF$\beta$ on cancer cells, Comp. Math. Meth. Med., 10 (2009), 7183. 

144 
(with P. GomezMourelo, E. Sanchez and L. Casasus) A fully continuous individualbased model of tumor cell evolution, Comptes Rendus Biologies, 31 (2008), 823836. 

145 
(with E. D'Agata, M. A. Horn, R. Moellering and S. Ruan) Modeling the invasion of communityacquired methicillinresistant Staphylococcus aureus into the hospital setting, Clin. Infect. Dis., 48 (2009), 274284. 

146 
(with P. Hinow, F. LeFoll and P. Magal) Analysis of a model for transfer phenomena in biological populations, SIAM J. Appl. Math., 70 (2009), 4062. 

147 
(with E. D'Agata, M. A. Horn, R. Moellering and S. Ruan), Competition of HospitalAcquired and CommunityAcquired MethicillinResistant Staphylococcus aureus Strains in Hospitals, J. Biol. Dyn., 4 (2010), 115129. 

148 
(with C. McCluskey and P. Magal) Liapunov functional and global asymptotic stability for an infectionage model, Appl. Anal., 89 (2010), 11091140. 

149 
(with B. Ayati, C. Edwards and J. Wikswo), A mathematical model of bone remodeling dynamics for normal and tumor bone cell populations, published online, Biology Direct, 5 (2010): 28. 

150 
(with M. Blaser, YH. Hsieh and J. Wu) Presymptomatic influenza transmission, surveillance, and school closings, Math. Mod. Nat. Phenom., 5 (2010), 191205. 

151 
(with E. M. C. D'Agata and J. Pressley) Rapid emergence of cocolonization with communityacquired and hospitalacquired methicillinresistant Staphylococcus aureus strains in the hospital setting, Math. Mod. Nat. Phenom., 5 (2010), 7693. 

152 
(with J. Dyson, S. A. Gourley and R. VillellaBressan) Existence and asymptotic properties of solutions of a nonlocal evolution equation modelling cellcell adhesion, SIAM J. Math. Anal., 42 (2010), 17841804. 

153 
(with E. M. C. D'Agata and J. Pressley) The effect of cocolonization with communityacquired and hospitalacquired methicillinresistant Staphylococcus aureus strains on competitive exclusion, J. Theoret. Biol., 264 (2010), 645656. 

154 
(with J. Pasquier, P. Magal, C. BoulangLecomte and F. Le Foll) Consequences of celltocell Pglycoprotein transfer on acquired multidrug resistance in breast cancer: A cell population dynamics model, Biology Direct, 6 (2011), p5. 

155 
(with A. Ducrot, F. LeFoll, P. Magal, H. Murakawa and J. Pasquier) An in vitro cell population dynamics model incorporating cell size, quiescence, and contact inhibition, Math. Mod. Meth. Appl. Sci., 21 (2011), 871892. 

156 
Event based interpretation of Schrodinger's equation for the twoslit experiment, Int. J. Theor. Phys., 50 (2011), 35713601. 

157 
(with D. T. Grima and E. M. C D'Agata) Mathematical model of the impact of a nonantibiotic treatment for Clostridium difficile on the endemic prevalence of vancomycinresistant enterococci in a hospital setting, Comp. Math. Meth. Med., 2012 (2012), Article ID 605861, 8pp. 

158 
(with J. Pasquier, L. Galas, C. BoulangLecomte, D. Rioult, F. Bultelle, P. Magal and F. Le Foll) Tunneling nanotubes and released microparticles both contribute to extragenetic celltocell pglycoprotein transfers in mcf7 breast cancer cells, J. Biol. Chem., 287 (2012), 73737387. 

159 
(with P. Gabriel, S. Garbett, D. Tyson and V. Quaranta) The contribution of age structure to cell population responsesto targeted therapeutics, J. Theoret. Biol., 311 (2012), 1927. 

160 
R0, Hektoen International Journal, 3 (2011), http://www.hektoeninternational.org/. 

161 
(with E. M. C. D'Agata, M. A. Horn, S. Ruan and J. R. Wares) Efficacy of infection control interventions in reducing the spread of multidrugresistant organisms in the hospital setting, PLoS ONE, 7 (2012), e30170. 

162 
(with J. Dyson and S.A. Gourley) A nonlocal evolution equation model of cellcell adhesion in higher dimensional space, J. Biol. Dyn., 7 (2013), 6887. 

163 
(with M. Helal, E. Hingant, L. PujoMenjouet) Alzheimer's disease: Analysis of a mathematical model incorporating the role of prions, J. Math. Biol., 69 (2014), 12071235. 

164 
(with J. Dyson) A cell population model structured by cell age incorporating cellcell adhesion, in Mathematical Oncology 2013 (Eds. A. d'Onofrio and A. Gandolfi), Modeling and Simulation in Science, Engineering and Technology, SpringerVerlag, New York, (2014), 109149. 

165 
(with M. J. Blaser) Host demise as a beneficial function of indigenous microbiota in human hosts, mBio, 5 (2014), e0226214. 

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