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Dynamical Systems and Their Applications in Biology
About this Title
Shigui Ruan, Dalhousie University, Halifax, NS, Canada, Gail S. K. Wolkowicz, McMaster University, Hamilton, ON, Canada and Jianhong Wu, York University, North York, ON, Canada, Editors
Publication: Fields Institute Communications
Publication Year:
2003; Volume 36
ISBNs: 978-0-8218-3163-2 (print); 978-1-4704-3070-2 (online)
DOI: https://doi.org/10.1090/fic/036
MathSciNet review: MR1969478
MSC: Primary 00B25; Secondary 34C60, 37-06, 37N25, 92-06
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Front/Back Matter
Chapters
- Julie Atamanyk and William Langford – A compartmental model of Cheyne-Stokes respiration
- M. Bachar and O. Arino – Integrated semigroup and linear ordinary differential equation with impulses
- Chris Bauch and David Earn – Interepidemic intervals in forced and unforced SEIR models
- Edoardo Beretta, Hirotatsu Sakakibara and Yasuhiro Takeuchi – Stability analysis of time delayed chemostat models for bacteria and virulent phage
- Janet Best, Carlos Castillo-Chavez and Abdul-Aziz Yakubu – Hierarchical competition in discrete time models with dispersal
- Fred Brauer – Stability and instability theorems for a characteristic equation arising in epidemic modeling
- Fred Brauer and P. van den Driessche – Some directions for mathematical epidemiology
- Yuming Chen – Global attractivity of a population model with state-dependent delay
- Zhilan Feng, Yingfei Yi and Huaiping Zhu – Metapopulation dynamics with migration and local competition
- S. Gourley – Oscillations and convergence in a harvesting model with sawtooth delay
- Weigu Li and Meirong Zhang – Rigidity for differentiable classification of one-dimensional dynamical systems
- Xinzhi Liu – Management of biological populations via impulsive control
- C. McCluskey – Stability for a class of three-dimensional homogeneous systems
- Israel Ncube, Sue Campbell and Jianhong Wu – Change in criticality of synchronous Hopf bifurcation in a multiple-delayed neural system
- Yasuhisa Saito and Yasuhiro Takeuchi – Sharp conditions for global stability of Lotka-Volterra systems with delayed intraspecific competitions
- Hal Smith and Bingtuan Li – Competition for essential resources: A brief review
- X. Tang, Lin Wang and Xingfu Zou – 3/2 type criteria for global attractivity of Lotka-Volterra discrete system with delays
- P. van den Driessche and James Watmough – Epidemic solutions and endemic catastrophies
- Xiao-Qiang Zhao – Persistence in almost periodic predator-prey reaction-diffusion systems