Fields Institute Communications 1999; 509 pp; hardcover Volume: 21 ISBN10: 082180944X ISBN13: 9780821809440 List Price: US$156 Member Price: US$124.80 Order Code: FIC/21
 This book presents the proceedings from the International Conference held in Halifax, NS in July 1997. Funded by The Fields Institute and Le Centre de Recherches Mathématiques, the conference was held in honor of the retirement of Professors Lynn Erbe and Herb I. Freedman (University of Alberta). Featured topics include ordinary, partial, functional, and stochastic differential equations and their applications to biology, epidemiology, neurobiology, physiology and other related areas. The 41 papers included in this volume represent the recent work of leading researchers over a wide range of subjects, including bifurcation theory, chaos, stability theory, boundary value problems, persistence theory, neural networks, disease transmission, population dynamics, pattern formation and more. The text would be suitable for a graduate or advanced undergraduate course study in mathematical biology. Features:  An overview of current developments in differential equations and mathematical biology.
 Authoritative contributions from over 60 leading worldwide researchers.
 Original, refereed contributions.
Titles in this series are copublished with the Fields Institute for Research in Mathematical Sciences (Toronto, Ontario, Canada). Readership Graduate students, and research and applied mathematicians and scientists working in biology, ecology, epidemiology, neurobiology, and physiology. Table of Contents  W. Allegretto and P. Nistri  On a class of nonlocal problems with applications to mathematical biology
 L. J. S. Allen, E. J. Allen, and D. N. Atkinson  Integrodifference equations applied to plant dispersal, competition, and control
 M. Benaïm and M. W. Hirsch  Differential and stochastic epidemic models
 F. Brauer  General recruitment models for sexually transmitted diseases
 J. R. Buchanan  Asymptotic behavior of two interacting pioneer climax/species
 S. A. Campbell  Stability and bifurcation of a simple neural network with multiple time delays
 D. Chao and S. A. Levin  Herding behavior: The emergence of largescale phenomena from local interactions
 C. J. Clements, J. C. Clements, and B. M. Horáček  On the formation of scroll waves in an anisotropic ventricular myocardium
 J. C. Clements  An optimal control theory approach to the inverse problem of electrocardiography
 R. Cressman  Natural selection as an extensive form game
 L. Dung, H. L. Smith, and P. Waltman  Growth in the unstirred chemostat with different diffusion rates
 T. Faria  Bifurcation aspects for some delayed population models with diffusion
 J. E. Franke and A.A. Yakubu  Extinction and persistence in a sizestructured, discrete competitive system with dispersion
 H. I. Freedman and X.Q. Zhao  Global attractivity in a nonlocal reactiondiffusion model
 P. Freitas  Nonlocal reactiondiffusion equations
 T. C. Gard  Practical persistence in stochastic population models
 T. Gedeon  Stucture and dynamics of artificial neural networks
 T. Gedeon and L. Glass  Continuity of resetting curves for FitzHughNagumo equations on the circle
 L. Genik and P. van den Driessche  An epidemic model with recruitmentdeath demographics and discrete delays
 K. P. Hadeler  Nonlinear propagation in reaction transport systems
 U. an der Heiden  On the dynamics of nonlinear feedback loops in cell membrane, neural and sensory systems
 Y. Hino and S. Murikami  Skew product flows of quasiprocesses and stabilities
 Y. S. Huang  Periodic solutions to system of globally coupled oscillators
 Y. Kanon  Bifurcation structure of stationary solutions of a LotkaVolterra competition model with densitydependent diffusion
 J. Kato and J. Pan  Stability domain of a chemostat system with delay
 Q. Kong  Oscillation criteria for second order halflinear differential equations
 Y. Kuang  Rich dynamics of Gausetype ratiodependent predatorprey system
 L. A. C. Ladeira  Differentiability with respect to delays for a neutral differentialdifference equation
 J. P. Lampreia, R. Severino, and J. Sousa Ramos  Renormalizations for trimodal maps
 A. Lasota and M. C. Mackey  Statistical stability of strongly perturbed dynamical systems
 X. Liu  A generalization of variation of parameters and Lyapunov's method
 J. Milota  Persistence in an epidemiological model
 Y. Morita, M. Pernarowski, and J. Dockery  Homoclinic bifurcations in a diffusively coupled excitable system
 H. Petzeltová  Compactness and asymptotic spatial homogeneity in conservation laws with memory
 K. Schmitt  On boundary value problems for quasilinear elliptic equations
 J. F. Selgrade and P. M. Schlosser  A model for the production of ovarian hormones during the menstrual cycle
 J. W.H. So and J. S. Yu  Global stability for a general population model with time delays
 H. R. Thieme and P. van den Driessche  Global stability in cyclic epidemic models with disease fatalities
 B. Toni, D. Thieffry, and R. Bulajich  Feedback loops analysis for chaotic dynamics with an application to Lorenz system
 W. Wu and Z. Deng  Absolute stability of the second canonical form of control systems
 D. Xiao and S. Ruan  BogdanovTakens bifurcations in predatorprey systems with constant rate harvesting
 List of participants
