Differential Equations and Applications to Biology and to Industry : Proceedings of the Claremont International Conference Dedicated to the Memory of Stavros Busenberg, 1941-1993, June 1-4, 1994

by Busenberg, Stavros N.; Castillo-Chavez, C.; Martelli, Mario

• ISBN13: 9789810222338
• ISBN10: 9810222335
• Format: Hardcover
• Copyright: 1996-02-01
• Publisher: World Scientific Pub Co Inc

Table of Contents

Preface
In Memory of Stavros Busenberg
Publications by Stavros Busenberg
A Three-Variable Autonomous Phase Model for Neuronal Parabolic Bursting	p. 1
Estimation of Distributed Individual Rates from Aggregate Population Data	p. 13
Mathematical Models for Drug Administration from Aggregate Population Data	p. 23
Improved Asymptotic Matching Using the Modified Euler Method for Interior Resonance Layers	p. 31
A Characteristic Equation Arising in Models for Diseases with Vertical Transmission and Without Immunity	p. 41
A Multigroup Model for HIV Transmission Among Injecting Drug Users	p. 49
On Periodic Orbits of Autonomous Differential-Difference Equations	p. 57
High Complexity of Spatial Patterns in Gradient Reaction-Diffusion Systems	p. 65
A Three-Variables Autonomous Phase Model for Neuronal Parabolic Bursting	p. 71
Populations Structured by Vector-Borne Disease	p. 81
One-Dimensional Hydrodynamic Model for Semiconductors by Viscosity Method	p. 91
General Bifurcation Theory: Local Results and Applications	p. 101
Recurrence for Stochastic Predator-Prey Models	p. 117
The Quest for Patterns in High-Dimensional Biomedical Data Sets: Linking Statistical Inference to Dynamical Systems	p. 125
Asymptotic Behavior in an Asymptotically Autonomous Linear Differential Equation with Small Delays	p. 135
Travelling Epidemic Waves and Correlated Random Walks	p. 145
Hopf Bifurcation Analysis for Hybrid Systems	p. 157
Extinction in a Structured Predator-Prey Model with Size-Dependent Predation	p. 173
Asymptotic Stability Conditions for the Linear Nonautonomous Delay Differential Equation	p. 181
Variations on a Theme of SEI Endemic Models	p. 191
Existence, Approximation and Convergence of Invariant Measures of Randomly Perturbed Maps	p. 209
Understanding Compartmental Systems with Lags	p. 217
Backward/Forward Duality of Branching Processes and Cell Population Dynamics	p. 233
Competition in Space for One Limiting Nutrient	p. 241
Oscillations in Age Dependent Population Dynamics	p. 253
3/2 Stability Results for Nonautonomous State-Dependent Delay Differential Equations	p. 261
Kinetic Models of the Interleukin-4 (IL-4) Binding to High Affinity IL-4 Receptor and Their Internalization	p. 271
Global Behaviour in Age Structured SIS Models with Seasonal Periodicities	p. 281
Dynamics of Multiple Pathogen Strains in Heterosexual Epidemiological Models	p. 289
Periodic Solutions to a Class of Autonomous Systems	p. 299
Wavelet Transforms with Biomedical Applications	p. 309
Unidirectional Waves on Rings: Models for Chiral Preference of Circumnutating Plants	p. 319
Modeling Erythropoiesis: Relating Age-Structure and Delays	p. 327
Stability and Oscillation in Monotone Cyclic Systems of Differential Equations	p. 337
A Symmetry Principle and Lower Bounds for the Period of Closed Orbits	p. 347
A Diffusion Reaction Model for Corrosion of Zinc Coated Steel Under Polymer Paint Films	p. 355
Non-Unique Positive Steady States in Population Dynamics and Epidemics Models and Their Stability	p. 369
Parameter Studies for an Analog Model of Bursting Electrical Activity	p. 385
Stable Hyperbolic Limit Cycles	p. 393
A Diffusive Epidemic Model for a Host Vector System	p. 401
Stochastic Modelling of a Complex Physiological System	p. 409
On the Exact Number of Solutions of Some Semilinear Problems at Resonance	p. 417
Electromagnetic Field Computation in Multiport Microstrip Structures	p. 423
Cellular Automata and Differential Equations: An Example	p. 431
Applying Geometric Control and Tracking Methods to Differential Equations	p. 439
Stability Conditions for Almost Periodicity in Semiflows	p. 459
Convergence to Equilibrium for 3-D Cooperative Systems	p. 465
Competition in an Unstirred Multi-Dimensional Chemostat	p. 475
Periodic Spatial Patterns in Delay-Diffusion Models: Wright's Equation on the Line and Circle	p. 487
Chaos-Integrability Transition in Nonlinear Dynamical Systems: Exponential Asymptotics Approach	p. 495
Some Epidemiological Models with Delay	p. 507
A Preliminary Report on a Model for the Immune Response to Trypanosoma Cruzi	p. 521
Small Solutions for Linear Delay Equations	p. 531
On a Correspondence Principle for Linear Differential Equations of Third Order and Applications	p. 541
The Regulation of an Age-Structured Population by a Fatal Disease With or Without Dispersion	p. 553
On Directed Periodic Orbits in Three-Dimensional Competitive Lotka-Volterra Systems	p. 563
List of Participants	p. 573
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