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

Volume 4,Number 3,     August 2004

Advances in Mathematical Biology

Guest Editors: Lansun Chen, Yang Kuang, Shigui Ruan and Glenn Webb

1

Asymptotic behavior of disease-free equilibriums of an age-structured predator-prey model with disease in the prey   Pages : 501 - 515

Ovide Arino,  Manuel Delgado and Mónica Molina-Becerra

 Abstract       Full Text      Related Articles

2

A stochastic model for the dynamics of a stage structured population   Pages : 517 - 525

G. Buffoni,  S. Pasquali and G. Gilioli

 Abstract       Full Text      Related Articles

3

Intraspecific interference and consumer-resource dynamics   Pages : 527 - 546

Robert Stephen Cantrell,  Chris Cosner and Shigui Ruan

 Abstract       Full Text      Related Articles

4

Permanence of predator-prey system with stage structure   Pages : 547 - 554

Jing-An Cui and Xinyu Song

 Abstract       Full Text      Related Articles

5

A monotone-iterative method for finding periodic solutions of an impulsive competition system on tumor-normal cell interaction   Pages : 555 - 562

Jiawei Dou,  Lan-sun Chen and Kaitai Li

 Abstract       Full Text      Related Articles

6

Periodic solutions of a class of nonautonomous discrete time semi-ratio-dependent predator-prey systems   Pages : 563 - 574

Meng Fan and Qian Wang

 Abstract       Full Text      Related Articles

7

The dynamics of public goods   Pages : 575 - 587

Christoph Hauert,  Nina Haiden and Karl Sigmund

 Abstract       Full Text      Related Articles

8

Optimal birth control problems for nonlinear age-structured population dynamics   Pages : 589 - 594

Z.-R. He,  M.-S. Wang and Z.-E. Ma

 Abstract       Full Text      Related Articles

9

Impulsive vaccination of sir epidemic models with nonlinear incidence rates   Pages : 595 - 605

Jing Hui and Lansun Chen

 Abstract       Full Text      Related Articles

10

The impact of state feedback control on a predator-prey model with functional response   Pages : 607 - 614

Haiying Jing and Zhaoyu Yang

 Abstract       Full Text      Related Articles

11

A note on the stability analysis of pathogen-immune interaction dynamics   Pages : 615 - 622

Tsuyoshi Kajiwara and Toru Sasaki

 Abstract       Full Text      Related Articles

12

Two general models for the simulation of insect population dynamics   Pages : 623 - 628

Dianmo Li,  Zengxiang Gao,  Zufei Ma,  Baoyu Xie and Zhengjun Wang

 Abstract       Full Text      Related Articles

13

Allee effect and a catastrophe model of population dynamics   Pages : 629 - 634

Dianmo Li,  Zhen Zhang,  Zufei Ma,  Baoyu Xie and Rui Wang

 Abstract       Full Text      Related Articles

14

Stability analysis for SIS epidemic models with vaccination and constant population size   Pages : 635 - 642

Jianquan Li and Zhien Ma

 Abstract       Full Text      Related Articles

15

Global stability of an age-structured SIRS epidemic model with vaccination   Pages : 643 - 652

Geni Gupur and Xue-Zhi Li

 Abstract       Full Text      Related Articles

16

Persistence and periodic solutions of a nonautonomous predator-prey diffusion with Holling III functional response and continuous delay   Pages : 653 - 662

Zhijun Liu and Weidong Wang

 Abstract       Full Text      Related Articles

17

Global stability for a chemostat-type model with delayed nutrient recycling   Pages : 663 - 670

Zhiqi Lu

 Abstract       Full Text      Related Articles

18

Asymptotic properties of a delayed SIR epidemic model with density dependent birth rate   Pages : 671 - 678

Wanbiao Ma and Yasuhiro Takeuchi

 Abstract       Full Text      Related Articles

19

Quantifying the danger for Parnassius nomion on Beijing Dongling mountain   Pages : 679 - 686

Dianmo Li,  Zufei Ma and Baoyu Xie

 Abstract       Full Text      Related Articles

20

Is there a sigmoid growth of Gause's Paramecium caudatum in constant environment   Pages : 687 - 694

Dianmo Li,  Zufei Ma and Baoyu Xie

 Abstract       Full Text      Related Articles

21

A continuous density Kolmogorov type model for a migrating fish stock   Pages : 695 - 704

Kjartan G. Magnússon,  Sven Th. Sigurdsson,  Petro Babak,  Stefán F. Gudmundsson and Eva Hlín Dereksdóttir

 Abstract       Full Text      Related Articles

22

Noise and productivity dependence of spatiotemporal pattern formation in a prey-predator system   Pages : 705 - 711

H. Malchow,  F.M. Hilker and S.V. Petrovskii

 Abstract       Full Text      Related Articles

23

A general dynamical theory of foraging in animals   Pages : 713 - 720

J. G. Ollason and N. Ren

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24

The asymptotic behavior of a chemostat model   Pages : 721 - 727

Zhipeng Qiu,  Jun Yu and Yun Zou

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25

Stability analysis of a simplified model for the control of testosterone secretion   Pages : 729 - 738

Hongshan Ren

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26

The effect of local prevention in an SIS model with diffusion   Pages : 739 - 746

Toru Sasaki

 Abstract       Full Text      Related Articles

27

Ratio-dependent predator-prey system with stage structure for prey   Pages : 747 - 758

Xinyu Song,  Liming Cai and U. Neumann

 Abstract       Full Text      Related Articles

28

Modelling and analysis of integrated pest management strategy   Pages : 759 - 768

Sanyi Tang and Lansun Chen

 Abstract       Full Text      Related Articles

29

Correspondence analysis of body form characteristics of Chinese ethnic groups   Pages : 769 - 776

Feng-mei Tao,  Lan-sun Chen and Li-xian Xia

 Abstract       Full Text      Related Articles

30

The mathematical method of studying the reproduction structure of weeds and its application to Bromus sterilis   Pages : 777 - 788

Svend Christensen,  Preben Klarskov Hansen,  Guozheng Qi and Jihuai Wang

 Abstract       Full Text      Related Articles

31

Uniform persistence and periodic solution of chemostat-type model with antibiotic   Pages : 789 - 795

Kaifa Wang and Aijun Fan

 Abstract       Full Text      Related Articles

32

Population dispersal and disease spread   Pages : 797 - 804

Wendi Wang

 Abstract       Full Text      Related Articles

33

Identifiability of models for clinical trials with noncompliance   Pages : 805 - 811

Tianfa Xie and Zhong-Zhan Zhang

 Abstract       Full Text      Related Articles

34

Testing increasing hazard rate for the progression time of dementia   Pages : 813 - 821

C. Xiong,  J.P. Miller,  F. Gao,  Y. Yan and J.C. Morris

 Abstract       Full Text      Related Articles

35

Periodic solutions of a discrete nonautonomous Lotka-Volterra predator-prey model with time delays   Pages : 823 - 831

Rui Xu,  M.A.J. Chaplain and F.A. Davidson

 Abstract       Full Text      Related Articles

36

Population dynamics of sea bass and young sea bass   Pages : 833 - 840

Masahiro Yamaguchi,  Yasuhiro Takeuchi and Wanbiao Ma

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37

Dynamics of a discrete age-structured SIS models   Pages : 841 - 850

Yicang Zhou and Paolo Fergola

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38

A simple delayed neural network with large capacity for associative memory   Pages : 851 - 863

Jianhong Wu and Ruyuan Zhang

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