Existence of Periodic Solutions in a Food Chain Model with Holling–type II Functional Response
نویسنده
چکیده
In this paper, a food chain model with Holling type II functional response on time scales is investigated. By using the Mawhin’s continuation theorem in coincidence degree theory, sufficient conditions for existence of periodic solutions are obtained. Keywords—Periodic solutions; food chain model; coincidence degree; time scales.
منابع مشابه
EXISTENCE AND GLOBAL ATTRACTIVITY OF PERIODIC SOLUTIONS IN n-SPECIES FOOD-CHAIN SYSTEM WITH TIME DELAYS
A delayed periodic n-species simple food-chain system with Holling type-II functional response is investigated. By means of Gaines and Mawhin’s continuation theorem of coincidence degree theory and by constructing appropriate Lyapunov functionals, sufficient conditions are obtained for the existence and global attractivity of positive periodic solutions of the system.
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