Persistence and Extinction in Two Species Reaction–Diffusion Systems with Delays
نویسندگان
چکیده
منابع مشابه
Persistence and Extinction in Two Species Reaction-Diffusion Systems with Delays
A fundamental problem in population dynamics is to study uniform persistence of the ecosystems, that is, to study the long term survival of interacting species. Abstract persistence theory, started in [BFW, BW], has been well-developed for both continuous and discrete semi-dynamical systems (see, e.g., [FRT, HW, FS, HS1, Th2, YR]) and has been applied to various types of equations including rea...
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The general nonautonomous n-species Lotka–Volterra cooperative systems with varying-time delays are studied. Sufficient conditions for the uniform strong persistence, uniform weak average persistence, uniform strong average persistence, and extinction of populations are obtained by applying the method of Liapunov functionals. Particularly, when the intrinsic growth rate of a species is nonposit...
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ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 1999
ISSN: 0022-0396
DOI: 10.1006/jdeq.1998.3599