Periodic optimal control for competing parabolic Volterra-Lotka-type systems
نویسندگان
چکیده
منابع مشابه
Existence of Periodic Solutions for the Lotka-volterra Type Systems
In this paper we prove the existence of non-stationary periodic solutions of delay Lotka-Volterra equations. In the proofs we use the S-degree due to Dylawerski et al. [2].
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By using the continuation theorem of coincidence degree theory, sufficient and realistic conditions are obtained for the existence of positive periodic solutions for both periodic Lotka Volterra equations and systems with distributed or statedependent delays. Our results substantially extend and improve existing results. 2001 Academic Press
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The Lotka-Volterra competition equations with periodic coefficients derived from the MacArthur-Levins theory of a one-dimensional resource niche are studied when the parameters are allowed to oscillate periodically in time. Specifically, niche positions and widths, resource availability and resource consumption rates are allowed small amplitude periodicities around a specified mean value. Two o...
متن کاملAge-dependent diffusive Lotka-Volterra type systems
In this paper it is shown that the sub-supersolution method works for age-dependent diffusive nonlinear systems with non-local initial conditions. As application, we prove the existence and uniqueness of positive solution for a kind of Lotka-Volterra systems, as well as the blow-up in finite time in a particular case.
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ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 1994
ISSN: 0377-0427
DOI: 10.1016/0377-0427(94)90357-3