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Differential equations with applications to biology Book

Differential equations with applications to biology
Differential equations with applications to biology, 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 Mathematiques, the conference was held in honor of the retirement of Professors Lynn Erbe and, Differential equations with applications to biology has a rating of 4.5 stars
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Differential equations with applications to biology, 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 Mathematiques, the conference was held in honor of the retirement of Professors Lynn Erbe and, Differential equations with applications to biology
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  • Differential equations with applications to biology
  • Written by author Shigui Ruan
  • Published by Providence, RI : American Mathematical Society, c1999., 10/26/1998
  • 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 Mathematiques, the conference was held in honor of the retirement of Professors Lynn Erbe and
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Preface
On a Class of Nonlocal Problems with Applications to Mathematical Biology 1
Integrodifference Equations Applied to Plant Dispersal, Competition, and Control 15
Differential and Stochastic Epidemic Models 31
General Recruitment Models for Sexually Transmitted Diseases 45
Asymptotic Behavior of Two Interacting Pioneer/Climax Species 51
Stability and Bifurcation of a Simple Neural Network with Multiple Time Delays 65
Herding Behavior: The Emergence of Large-Scale Phenomena from Local Interactions 81
On the Formation of Scroll Waves in an Anisotropic Ventricular Myocardium 97
An Optimal Control Theory Approach to the Inverse Problem of Electrocardiography 109
Natural Selection as an Extensive Form Game 119
Growth in the Unstirred Chemostat with Different Diffusion Rates 131
Bifurcation Aspects for some Delayed Population Models with Diffusion 143
Extinction and Persistence in a Size-Structured, Discrete Competitive System with Dispersion 159
Global Attractivity in a Nonlocal Reaction-Diffusion Model 175
Nonlocal Reaction-Diffusion Equations 187
Practical Persistence in Stochastic Population Models 205
Structure and Dynamics of Artifical Neural Networks 217
Continuity of Resetting Curves for FitzHugh-Nagumo Equations on the Circle 225
An Epidemic Model with Recruitment-Death Demographics and Discrete Delays 237
Nonlinear Propagation in Reaction Transport Systems 251
On the Dynamics of Nonlinear Feedback Loops in Cell Membrane, Neural and Sensory Systems 259
Skew Product Flows of Quasi-Processes and Stabilities 269
Periodic Solutions to System of Globally Coupled Oscillators 279
Bifurcation Structure of Stationary Solutions of a Lotka-Volterra Competition Model with Density-Dependent Diffusion 293
Stability Domain of a Chemostat System with Delay 307
Oscillation Criteria for Second Order Half-Linear Differential Equations 317
Rich Dynamics of Gause-Type Ratio-Dependent Predator-Prey System 325
Differentiability with Respect to Delays for a Neutral Differential-Difference Equation 339
Renormalizations for Trimodal Maps 353
Statisitcal Stability of Strongly Perturbed Dynamical Systems 363
A Generalization of Variation of Parameters and Lyapunov's Method 377
Persistence in an Epidemiological Model 387
Homoclinic Bifurcations in a Diffusively Coupled Excitable System 397
Compactness and Asymptotic Spatial Homogeneity in Conservation Laws with Memory 409
On Boundary Value Problems for Quasilinear Elliptic Equations 419
A Model for the Production of Ovarian Hormones during the Menstrual Cycle 429
Global Stability for a General Population Model with Time Delays 447
Global Stability in Cyclic Epidemic Models with Disease Fatalities 459
Feedback Loops Analysis for Chaotic Dynamics with an Application to Lorenz System 473
Absolute Stability of the Second Canonical Form of Control Systems 485
Bogdanov-Takens Bifurcations in Predator-Prey Systems with Constant Rate Harvesting 493
Appendix: List of Participants 507


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Differential equations with applications to biology, 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 Mathematiques, the conference was held in honor of the retirement of Professors Lynn Erbe and, Differential equations with applications to biology

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Differential equations with applications to biology, 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 Mathematiques, the conference was held in honor of the retirement of Professors Lynn Erbe and, Differential equations with applications to biology

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Differential equations with applications to biology, 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 Mathematiques, the conference was held in honor of the retirement of Professors Lynn Erbe and, Differential equations with applications to biology

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