Dynamical systems and their applications in biology
著者
書誌事項
Dynamical systems and their applications in biology
（Fields Institute communications, 36）
American Mathematical Society, c2003
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注記
Includes bibliographical references
内容説明・目次
内容説明
This volume is based on the proceedings of the International Workshop on Dynamical Systems and their Applications in Biology held at the Canadian Coast Guard College on Cape Breton Island (Nova Scotia, Canada). It presents a broad picture of the current research surrounding applications of dynamical systems in biology, particularly in population biology. The book contains 19 papers and includes articles on the qualitative and/or numerical analysis of models involving ordinary, partial, functional, and stochastic differential equations. Applications include epidemiology, population dynamics, and physiology. The material is suitable for graduate students and research mathematicians interested in ordinary differential equations and their applications in biology. Also available by Ruan, Wolkowicz, and Wu is ""Differential Equations with Applications to Biology"", Volume 21 in the AMS series, ""Fields Institute Communications"".
目次
A compartmental model of Cheyne-Stokes respiration by J. Atamanyk and W. F. Langford Integrated semigroup and linear ordinary differential equation with impulses by M. Bachar and O. Arino Interepidemic intervals in forced and unforced SEIR models by C. Bauch and D. J. D. Earn Stability analysis of time delayed chemostat models for bacteria and virulent phage by E. Beretta, H. Sakakibara, and Y. Takeuchi Hierarchical competition in discrete time models with dispersal by J. Best, C. Castillo-Chavez, and A.-A. Yakubu Stability and instability theorems for a characteristic equation arising in epidemic modeling by F. Brauer Some directions for mathematical epidemiology by F. Brauer and P. van den Driessche Global attractivity of a population model with state-dependent delay by Y. Chen Metapopulation dynamics with migration and local competition by Z. Feng, Y. Yi, and H. Zhu Oscillations and convergence in a harvesting model with sawtooth delay by S. A. Gourley Rigidity for differentiable classification of one-dimensional dynamical systems by W. Li and M. Zhang Management of biological populations via impulsive control by X. Liu Stability for a class of three-dimensional homogeneous systems by C. C. McCluskey Change in criticality of synchronous Hopf bifurcation in a multiple-delayed neural system by I. Ncube, S. A. Campbell, and J. Wu Sharp conditions for global stability of Lotka-Volterra systems with delayed intraspecific competitions by Y. Saito and Y. Takeuchi Competition for essential resources: A brief review by H. L. Smith and B. Li 3/2 type criteria for global attractivity of Lotka-Volterra discrete system with delays by X. H. Tang, L. Wang, and X. Zou Epidemic solutions and endemic catastrophies by P. van den Driessche and J. Watmough Persistence in almost periodic predator-prey reaction-diffusion systems by X.-Q. Zhao.
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