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Discrete and Continuous Dynamical Systems - Series B (DCDS-B)
 

Volume 8,Number 1,     July 2007

Special Issue on
Differential Equations in Mathematical Biology

1

Preface   Pages : i - ii

P. Magal and Shigui Ruan

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2

General models of host-parasite systems. Global analysis   Pages : 1 - 17

P. Adda,  J. L. Dimi,  A. Iggidir,  J. C. Kamgang,  G. Sallet and J. J. Tewa

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3

Modeling and asymptotic stability of a growth factor-dependent stem cell dynamics model with distributed delay   Pages : 19 - 38

Mostafa Adimy and Fabien Crauste

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4

Fast reaction limit and long time behavior for a competition-diffusion system with Dirichlet boundary conditions   Pages : 39 - 44

E. C.M. Crooks,  E. N. Dancer and Danielle Hilhorst

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5

An age and spatially structured model of tumor invasion with haptotaxis   Pages : 45 - 60

Janet Dyson,  Eva Sánchez,  Rosanna Villella-Bressan and Glenn F. Webb

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6

Some remarks on a singular reaction-diffusion system arising in predator-prey modeling   Pages : 61 - 72

Sebastién Gaucel and Michel Langlais

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7

Polytopic Lyapunov functions for persistence analysis of competing species   Pages : 73 - 93

Frédéric Grognard,  Frédéric Mazenc and Alain Rapaport

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8

Interaction of diffusion and delay   Pages : 95 - 105

Karl Peter Hadeler and Shigui Ruan

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9

For which objective is birth process an optimal feedback in age structured population dynamics?   Pages : 107 - 114

Jacques Henry

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10

Phase plane analysis of travelling waves for higher order autocatalytic reaction-diffusion systems   Pages : 115 - 125

Yuzo Hosono

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11

The dynamics of bacterial infection, innate immune response, and antibiotic treatment   Pages : 127 - 143

Mudassar Imran and Hal L. Smith

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12

Allee effects in a discrete-time host-parasitoid model with stage structure in the host   Pages : 145 - 159

S. R.-J. Jang

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13

Complex dynamics of a simple epidemic model with a nonlinear incidence   Pages : 161 - 173

Jianquan Li,  Yicang Zhou,  Jianhong Wu and Zhien Ma

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14

Periodic solutions in a delayed predator-prey models with nonmonotonic functional response   Pages : 175 - 185

Wan-Tong Li and Yong-Hong Fan

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15

Biodiversity through co-opetition   Pages : 187 - 205

Julián López-Gómez and M. Molina-Meyer

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16

Modeling the rock - scissors - paper game between bacteriocin producing bacteria by Lotka-Volterra equations   Pages : 207 - 228

Gunter Neumann and Stefan Schuster

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17

A model of HIV-1 infection with HAART therapy and intracellular delays   Pages : 229 - 240

Rachid Ouifki and Gareth Witten

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18

Immune system memory realization in a population model   Pages : 241 - 259

Jianhong Wu,  Weiguang Yao and Huaiping Zhu

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