Stability and instability in predator-prey models with growth rate response delays
نویسندگان
چکیده
منابع مشابه
Stability and Instability in Predator-prey Models with Growth Rate Response Delays
We consider a general model for predator-prey interactions in which the instantaneous per unit growth rate j i — ft(Nv N2)(t) of each species at any time t is a functional of species densities N^s) at previous times s ^ t. We assume that the equation for prey density Nx obtained from the model in the absence of predators (N2 — 0) possesses at least one positive equilibrium c > 0 (which may or m...
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A general (Volterra-Lotka type) integrodifferential system which describes a predator-prey interaction subject to delay effects is considered. A rather complete picture is drawn of certain qualitative aspects of the solutions as they are functions of the parameters in the system. Namely, it is argued that such systems have, roughly speaking, the following features. If the carrying capacity of t...
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ژورنال
عنوان ژورنال: Rocky Mountain Journal of Mathematics
سال: 1979
ISSN: 0035-7596
DOI: 10.1216/rmj-1979-9-1-43