Differential Equations and Applications to Biology and to Industry: Proceedings of the International Conference

Differential Equations and Applications to Biology and to Industry: Proceedings of the International Conference

by C. Castillo-Chavez, K. Cooke
     
 

ISBN-10: 9810222335

ISBN-13: 9789810222338

Pub. Date: 12/28/1995

Publisher: World Scientific Publishing Company, Incorporated

This volume is dedicated to the memory of Professor Stavros Busenberg of Harvey Mudd College, who contributed so greatly to this field during 25 years prior to his untimely death. It contains about 60 invited papers by leading researchers in the areas of dynamical systems, mathematical studies in ecology, epidemics, and physiology, and industrial mathematics. Anyone…  See more details below

Overview

This volume is dedicated to the memory of Professor Stavros Busenberg of Harvey Mudd College, who contributed so greatly to this field during 25 years prior to his untimely death. It contains about 60 invited papers by leading researchers in the areas of dynamical systems, mathematical studies in ecology, epidemics, and physiology, and industrial mathematics. Anyone interested in these areas will find much of value in these contributions.

Product Details

ISBN-13:
9789810222338
Publisher:
World Scientific Publishing Company, Incorporated
Publication date:
12/28/1995
Pages:
604

Table of Contents

Preface
In Memory of Stavros Busenberg
Publications by Stavros Busenberg
A Three-Variable Autonomous Phase Model for Neuronal Parabolic Bursting1
Estimation of Distributed Individual Rates from Aggregate Population Data13
Mathematical Models for Drug Administration from Aggregate Population Data23
Improved Asymptotic Matching Using the Modified Euler Method for Interior Resonance Layers31
A Characteristic Equation Arising in Models for Diseases with Vertical Transmission and Without Immunity41
A Multigroup Model for HIV Transmission Among Injecting Drug Users49
On Periodic Orbits of Autonomous Differential-Difference Equations57
High Complexity of Spatial Patterns in Gradient Reaction-Diffusion Systems65
A Three-Variables Autonomous Phase Model for Neuronal Parabolic Bursting71
Populations Structured by Vector-Borne Disease81
One-Dimensional Hydrodynamic Model for Semiconductors by Viscosity Method91
General Bifurcation Theory: Local Results and Applications101
Recurrence for Stochastic Predator-Prey Models117
The Quest for Patterns in High-Dimensional Biomedical Data Sets: Linking Statistical Inference to Dynamical Systems125
Asymptotic Behavior in an Asymptotically Autonomous Linear Differential Equation with Small Delays135
Travelling Epidemic Waves and Correlated Random Walks145
Hopf Bifurcation Analysis for Hybrid Systems157
Extinction in a Structured Predator-Prey Model with Size-Dependent Predation173
Asymptotic Stability Conditions for the Linear Nonautonomous Delay Differential Equation181
Variations on a Theme of SEI Endemic Models191
Existence, Approximation and Convergence of Invariant Measures of Randomly Perturbed Maps209
Understanding Compartmental Systems with Lags217
Backward/Forward Duality of Branching Processes and Cell Population Dynamics233
Competition in Space for One Limiting Nutrient241
Oscillations in Age Dependent Population Dynamics253
3/2 Stability Results for Nonautonomous State-Dependent Delay Differential Equations261
Kinetic Models of the Interleukin-4 (IL-4) Binding to High Affinity IL-4 Receptor and Their Internalization271
Global Behaviour in Age Structured SIS Models with Seasonal Periodicities281
Dynamics of Multiple Pathogen Strains in Heterosexual Epidemiological Models289
Periodic Solutions to a Class of Autonomous Systems299
Wavelet Transforms with Biomedical Applications309
Unidirectional Waves on Rings: Models for Chiral Preference of Circumnutating Plants319
Modeling Erythropoiesis: Relating Age-Structure and Delays327
Stability and Oscillation in Monotone Cyclic Systems of Differential Equations337
A Symmetry Principle and Lower Bounds for the Period of Closed Orbits347
A Diffusion Reaction Model for Corrosion of Zinc Coated Steel Under Polymer Paint Films355
Non-Unique Positive Steady States in Population Dynamics and Epidemics Models and Their Stability369
Parameter Studies for an Analog Model of Bursting Electrical Activity385
Stable Hyperbolic Limit Cycles393
A Diffusive Epidemic Model for a Host Vector System401
Stochastic Modelling of a Complex Physiological System409
On the Exact Number of Solutions of Some Semilinear Problems at Resonance417
Electromagnetic Field Computation in Multiport Microstrip Structures423
Cellular Automata and Differential Equations: An Example431
Applying Geometric Control and Tracking Methods to Differential Equations439
Stability Conditions for Almost Periodicity in Semiflows459
Convergence to Equilibrium for 3-D Cooperative Systems465
Competition in an Unstirred Multi-Dimensional Chemostat475
Periodic Spatial Patterns in Delay-Diffusion Models: Wright's Equation on the Line and Circle487
Chaos-Integrability Transition in Nonlinear Dynamical Systems: Exponential Asymptotics Approach495
Some Epidemiological Models with Delay507
A Preliminary Report on a Model for the Immune Response to Trypanosoma Cruzi521
Small Solutions for Linear Delay Equations531
On a Correspondence Principle for Linear Differential Equations of Third Order and Applications541
The Regulation of an Age-Structured Population by a Fatal Disease With or Without Dispersion553
On Directed Periodic Orbits in Three-Dimensional Competitive Lotka-Volterra Systems563
List of Participants573

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