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Differential Equations with Applications to Biology

Edited by: Shigui Ruan Dalhousie University, Halifax, NS, Canada
Gail S. K. Wolkowicz McMaster University, Hamilton, ON, Canada
Jianhong Wu York University, North York, ON, Canada
A co-publication of the AMS and Fields Institute
Available Formats:
Hardcover ISBN: 978-0-8218-0944-0
Product Code: FIC/21
List Price: $174.00 MAA Member Price:$156.60
AMS Member Price: $139.20 Electronic ISBN: 978-1-4704-2989-8 Product Code: FIC/21.E List Price:$164.00
MAA Member Price: $147.60 AMS Member Price:$131.20
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This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $261.00 MAA Member Price:$234.90
AMS Member Price: $208.80 Click above image for expanded view Differential Equations with Applications to Biology Edited by: Shigui Ruan Dalhousie University, Halifax, NS, Canada Gail S. K. Wolkowicz McMaster University, Hamilton, ON, Canada Jianhong Wu York University, North York, ON, Canada A co-publication of the AMS and Fields Institute Available Formats:  Hardcover ISBN: 978-0-8218-0944-0 Product Code: FIC/21  List Price:$174.00 MAA Member Price: $156.60 AMS Member Price:$139.20
 Electronic ISBN: 978-1-4704-2989-8 Product Code: FIC/21.E
 List Price: $164.00 MAA Member Price:$147.60 AMS Member Price: $131.20 Bundle Print and Electronic Formats and Save! This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.  List Price:$261.00 MAA Member Price: $234.90 AMS Member Price:$208.80
• Book Details

Fields Institute Communications
Volume: 211999; 509 pp
MSC: Primary 34; Secondary 92; 35; 58;

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.

Graduate students, and research and applied mathematicians and scientists working in biology, ecology, epidemiology, neurobiology, and physiology.

• Chapters
• W. Allegretto and P. Nistri - On a class of nonlocal problems with applications to mathematical biology
• Linda Allen, Edward Allen and David Atkinson - Integrodifference equations applied to plant dispersal, competition, and control
• Michel Benaïm and Morris Hirsch - Differential and stochastic epidemic models
• Fred Brauer - General recruitment models for sexually transmitted diseases
• James Buchanan - Asymptotic behavior of two interacting pioneer/climax species
• Sue Ann Campbell - Stability and bifurcation of a simple neural network with multiple time delays
• Dennis Chao and Simon Levin - Herding behavior: The emergence of large-scale phenomena from local interactions
• Clyde Clements, John Clements and B. Horáček - On the formation of scroll waves in an anisotropic ventricular myocardium
• John Clements - An optimal control theory approach to the inverse problem of electrocardiography
• R. Cressman - Natural selection as an extensive form game
• Le Dung, H. Smith and Paul Waltman - Growth in the unstirred chemostat with different diffusion rates
• Teresa Faria - Bifurcation aspects for some delayed population models with diffusion
• John Franke and Abdul-Aziz Yakubu - Extinction and persistence in a size structured, discrete competitive system with dispersion
• H. Freedman and Xiao-Qiang Zhao - Global attractivity in a nonlocal reaction-diffusion model
• Pedro Freitas - Nonlocal reaction-diffusion equations
• Thomas Gard - Practical persistence in stochastic population models
• Tomáš Gedeon - Structure and dynamics of artificial neural networks
• Tomáš Gedeon and Leon Glass - Continuity of resetting curves for FitzHugh-Nagumo equations on the circle
• Lynne Genik and P. van den Driessche - An epidemic model with recruitment-death demographics and discrete delays
• K. Hadeler - Nonlinear propagation in reaction transport systems
• Uwe an der Heiden - On the dynamics of nonlinear feedback loops in cell membrane, neural and sensory systems
• Yoshiyuki Hino and Satoru Murikami - Skew product flows of quasi-processes and stabilities
• Ying Huang - Periodic solutions to system of globally coupled oscillators
• Yukio Kan-on - Bifurcation structure of stationary solutions of a Lotka-Volterra competition model with density-dependent diffusion
• Junji Kato and Jiaqi Pan - Stability domain of a chemostat system with delay
• Qingkai Kong - Oscillation criteria for second order half-linear differential equations
• Yang Kuang - Rich dynamics of Gause-type ratio-dependent predator-prey system
• Luiz Ladeira - Differentiability with respect to delays for a neutral differential-difference equation
• J. Lampreia, R. Severino and J. Sousa Ramos - Renormalizations for trimodal maps
• Andrzej Lasota and Michael Mackey - Statistical stability of strongly perturbed dynamical systems
• Xinzhi Liu - A generalization of variation of parameters and Lyapunov’s method
• Jaroslav Milota - Persistence in an epidemiological model
• Yoshihisa Morita, Mark Pernarowski and Jack Dockery - Homoclinic bifurcations in a diffusively coupled excitable system
• Hana Petzeltová - Compactness and asymptotic spatial homogeneity in conservation laws with memory
• Klaus Schmitt - On boundary value problems for quasilinear elliptic equations
• James Selgrade and Paul Schlosser - A model for the production of ovarian hormones during the menstrual cycle
• Joseph So and J. Yu - Global stability for a general population model with time delays
• Horst 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
• Weihua Wu and Zongqi Deng - Absolute stability of the second canonical form of control systems
• Dongmei Xiao and Shigui Ruan - Bogdanov-Takens bifurcations in predator-prey systems with constant rate harvesting
• Request Review Copy
Volume: 211999; 509 pp
MSC: Primary 34; Secondary 92; 35; 58;

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.

Graduate students, and research and applied mathematicians and scientists working in biology, ecology, epidemiology, neurobiology, and physiology.

• Chapters
• W. Allegretto and P. Nistri - On a class of nonlocal problems with applications to mathematical biology
• Linda Allen, Edward Allen and David Atkinson - Integrodifference equations applied to plant dispersal, competition, and control
• Michel Benaïm and Morris Hirsch - Differential and stochastic epidemic models
• Fred Brauer - General recruitment models for sexually transmitted diseases
• James Buchanan - Asymptotic behavior of two interacting pioneer/climax species
• Sue Ann Campbell - Stability and bifurcation of a simple neural network with multiple time delays
• Dennis Chao and Simon Levin - Herding behavior: The emergence of large-scale phenomena from local interactions
• Clyde Clements, John Clements and B. Horáček - On the formation of scroll waves in an anisotropic ventricular myocardium
• John Clements - An optimal control theory approach to the inverse problem of electrocardiography
• R. Cressman - Natural selection as an extensive form game
• Le Dung, H. Smith and Paul Waltman - Growth in the unstirred chemostat with different diffusion rates
• Teresa Faria - Bifurcation aspects for some delayed population models with diffusion
• John Franke and Abdul-Aziz Yakubu - Extinction and persistence in a size structured, discrete competitive system with dispersion
• H. Freedman and Xiao-Qiang Zhao - Global attractivity in a nonlocal reaction-diffusion model
• Pedro Freitas - Nonlocal reaction-diffusion equations
• Thomas Gard - Practical persistence in stochastic population models
• Tomáš Gedeon - Structure and dynamics of artificial neural networks
• Tomáš Gedeon and Leon Glass - Continuity of resetting curves for FitzHugh-Nagumo equations on the circle
• Lynne Genik and P. van den Driessche - An epidemic model with recruitment-death demographics and discrete delays
• K. Hadeler - Nonlinear propagation in reaction transport systems
• Uwe an der Heiden - On the dynamics of nonlinear feedback loops in cell membrane, neural and sensory systems
• Yoshiyuki Hino and Satoru Murikami - Skew product flows of quasi-processes and stabilities
• Ying Huang - Periodic solutions to system of globally coupled oscillators
• Yukio Kan-on - Bifurcation structure of stationary solutions of a Lotka-Volterra competition model with density-dependent diffusion
• Junji Kato and Jiaqi Pan - Stability domain of a chemostat system with delay
• Qingkai Kong - Oscillation criteria for second order half-linear differential equations
• Yang Kuang - Rich dynamics of Gause-type ratio-dependent predator-prey system
• Luiz Ladeira - Differentiability with respect to delays for a neutral differential-difference equation
• J. Lampreia, R. Severino and J. Sousa Ramos - Renormalizations for trimodal maps
• Andrzej Lasota and Michael Mackey - Statistical stability of strongly perturbed dynamical systems
• Xinzhi Liu - A generalization of variation of parameters and Lyapunov’s method
• Jaroslav Milota - Persistence in an epidemiological model
• Yoshihisa Morita, Mark Pernarowski and Jack Dockery - Homoclinic bifurcations in a diffusively coupled excitable system
• Hana Petzeltová - Compactness and asymptotic spatial homogeneity in conservation laws with memory
• Klaus Schmitt - On boundary value problems for quasilinear elliptic equations
• James Selgrade and Paul Schlosser - A model for the production of ovarian hormones during the menstrual cycle
• Joseph So and J. Yu - Global stability for a general population model with time delays
• Horst 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
• Weihua Wu and Zongqi Deng - Absolute stability of the second canonical form of control systems
• Dongmei Xiao and Shigui Ruan - Bogdanov-Takens bifurcations in predator-prey systems with constant rate harvesting
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