Titlebook: Integrodifferential Equations and Delay Models in Population Dynamics; Jim M. Cushing Book 1977 Springer-Verlag Berlin Heidelberg 1977 Bio

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Book 1977ose to covering the literature to date, as far as integrodifferentia1 models in ecology are concerned. I would like to thank the students who took the course and consequently gave me the opportunity and stimulus to organize these notes. Special thanks go to Professor Paul Fife and Dr. George Swan wh

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Stability and Delay Models for a Single Species, unlimited resources were available). Since it is usually assumed that a species’ own population size can only have a negative effect on its growth rate, the functional f is usually assumed to satisfy df/dN ≤ 0 at least for large N (with a proper interpretation of df/dN for functional expressions, say as a Fréchet derivative).

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Oscillations and Multi-Species Interactions with Delays,r more species passes through a critical value at which point the species densities then exhibit periodic oscillations about the now unstable equilibrium. We will give a method to find these critical values as well as the period of the resulting oscillation.

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Book 1977nves­ tigate the effect that delays (of Volterra integral type) have when placed in the differential models of mathematical ecology, as far as stability of equilibria and the nature of oscillations of species densities are concerned. A secondary pur­ pose of the course out of which they evolved was