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Competing species models with an infectious disease
1.  Applied Mathematical and Computational Sciences, University of Iowa, 14 MacLean Hall, Iowa City, IA 52242, United States, United States 
[1] 
Linda J. S. Allen, Vrushali A. Bokil. Stochastic models for competing species with a shared pathogen. Mathematical Biosciences & Engineering, 2012, 9 (3) : 461485. doi: 10.3934/mbe.2012.9.461 
[2] 
Hui Cao, Yicang Zhou. The basic reproduction number of discrete SIR and SEIS models with periodic parameters. Discrete & Continuous Dynamical Systems  B, 2013, 18 (1) : 3756. doi: 10.3934/dcdsb.2013.18.37 
[3] 
Horst R. Thieme. Distributed susceptibility: A challenge to persistence theory in infectious disease models. Discrete & Continuous Dynamical Systems  B, 2009, 12 (4) : 865882. doi: 10.3934/dcdsb.2009.12.865 
[4] 
Cruz VargasDeLeón, Alberto d'Onofrio. Global stability of infectious disease models with contact rate as a function of prevalence index. Mathematical Biosciences & Engineering, 2017, 14 (4) : 10191033. doi: 10.3934/mbe.2017053 
[5] 
Timothy C. Reluga, Jan Medlock, Alison Galvani. The discounted reproductive number for epidemiology. Mathematical Biosciences & Engineering, 2009, 6 (2) : 377393. doi: 10.3934/mbe.2009.6.377 
[6] 
Alexander V. Budyansky, Kurt Frischmuth, Vyacheslav G. Tsybulin. Cosymmetry approach and mathematical modeling of species coexistence in a heterogeneous habitat. Discrete & Continuous Dynamical Systems  B, 2019, 24 (2) : 547561. doi: 10.3934/dcdsb.2018196 
[7] 
Julián LópezGómez. On the structure of the permanence region for competing species models with general diffusivities and transport effects. Discrete & Continuous Dynamical Systems  A, 1996, 2 (4) : 525542. doi: 10.3934/dcds.1996.2.525 
[8] 
SzeBi Hsu, ChiuJu Lin. Dynamics of two phytoplankton species competing for light and nutrient with internal storage. Discrete & Continuous Dynamical Systems  S, 2014, 7 (6) : 12591285. doi: 10.3934/dcdss.2014.7.1259 
[9] 
Xinfu Chen, KingYeung Lam, Yuan Lou. Corrigendum: Dynamics of a reactiondiffusionadvection model for two competing species. Discrete & Continuous Dynamical Systems  A, 2014, 34 (11) : 49894995. doi: 10.3934/dcds.2014.34.4989 
[10] 
Xinfu Chen, KingYeung Lam, Yuan Lou. Dynamics of a reactiondiffusionadvection model for two competing species. Discrete & Continuous Dynamical Systems  A, 2012, 32 (11) : 38413859. doi: 10.3934/dcds.2012.32.3841 
[11] 
Nicolas Bacaër, Xamxinur Abdurahman, Jianli Ye, Pierre Auger. On the basic reproduction number $R_0$ in sexual activity models for HIV/AIDS epidemics: Example from Yunnan, China. Mathematical Biosciences & Engineering, 2007, 4 (4) : 595607. doi: 10.3934/mbe.2007.4.595 
[12] 
John D. Nagy. The Ecology and Evolutionary Biology of Cancer: A Review of Mathematical Models of Necrosis and Tumor Cell Diversity. Mathematical Biosciences & Engineering, 2005, 2 (2) : 381418. doi: 10.3934/mbe.2005.2.381 
[13] 
David J. Gerberry. An exact approach to calibrating infectious disease models to surveillance data: The case of HIV and HSV2. Mathematical Biosciences & Engineering, 2018, 15 (1) : 153179. doi: 10.3934/mbe.2018007 
[14] 
S.M. Moghadas. Modelling the effect of imperfect vaccines on disease epidemiology. Discrete & Continuous Dynamical Systems  B, 2004, 4 (4) : 9991012. doi: 10.3934/dcdsb.2004.4.999 
[15] 
Carlos M. HernándezSuárez, Oliver MendozaCano. Applications of occupancy urn models to epidemiology. Mathematical Biosciences & Engineering, 2009, 6 (3) : 509520. doi: 10.3934/mbe.2009.6.509 
[16] 
Andreas Widder. On the usefulness of setmembership estimation in the epidemiology of infectious diseases. Mathematical Biosciences & Engineering, 2018, 15 (1) : 141152. doi: 10.3934/mbe.2018006 
[17] 
Sara Y. Del Valle, J. M. Hyman, Nakul Chitnis. Mathematical models of contact patterns between age groups for predicting the spread of infectious diseases. Mathematical Biosciences & Engineering, 2013, 10 (5&6) : 14751497. doi: 10.3934/mbe.2013.10.1475 
[18] 
Yang Kuang, John D. Nagy, James J. Elser. Biological stoichiometry of tumor dynamics: Mathematical models and analysis. Discrete & Continuous Dynamical Systems  B, 2004, 4 (1) : 221240. doi: 10.3934/dcdsb.2004.4.221 
[19] 
Tsanou Berge, Samuel Bowong, Jean Lubuma, Martin Luther Mann Manyombe. Modeling Ebola Virus Disease transmissions with reservoir in a complex virus life ecology. Mathematical Biosciences & Engineering, 2018, 15 (1) : 2156. doi: 10.3934/mbe.2018002 
[20] 
TingHui Yang, Weinian Zhang, Kaijen Cheng. Global dynamics of three species omnivory models with LotkaVolterra interaction. Discrete & Continuous Dynamical Systems  B, 2016, 21 (8) : 28672881. doi: 10.3934/dcdsb.2016077 
2018 Impact Factor: 1.313
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