Titlebook: Differential Equations Models in Biology, Epidemiology and Ecology; Proceedings of a Con Stavros Busenberg,Mario Martelli Conference procee

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Conference proceedings 1991act with research workers from a much broader spectrum of fields than is common in the traditional mono-culture disciplines. Consequently, it is beneficial to have occasions which bring together significant numbers of workers in this field in a forum that encourages the exchange of ideas and which l

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AMPLE

The Problem of Relevant Detaild characterizations of classical interest. This conference, in honor of Kenneth Cooke and his contributions to theories involving age structure, social structure, and delays, is testament to the modern trend, and to the recognition that simplistic theories that ignore population structure often are

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Lifespans in Population Models: Using Time Delays of blood cell production, we investigate two elimination mechanisms: a “random”, constant rate destruction process, and a lifespan of finite duration. The limiting cases of each death mechanism alone are considered in turn, and the dynamics are compared to the full model, from the point of view of

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The Sherman-Rinzel-Keizer Model for Bursting Electrical Activity in the Pancreatic β-Cellf this phenomenon consists of three coupled first-order nonlinear differential equations which describe the dynamics of the membrane potential, the activation parameter for the voltage-gated potassium channel, and the intracellular calcium concentration. These equations are nondimensionalized and tr

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Models for the Spread of Universally Fatal Diseases IIhe analysis of this model is considerably more complicated than the analysis of a model with an infective period short enough that the population dynamics are confined to the susceptible class. However, the basic result that in some circumstances the stability of an endemic equilibrium may depend on

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On the Solution of the Two-Sex Mixing Problemsexuallytransmitted diseases. A representation theorem describing all solutions to this mixing framework as perturbations of particular solutions is proved. Two-sex age structured demographic and age-structured epidemiological models that make use of our framework, and are therefore capable of descr

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