Periodic solution and dynamical analysis for a delayed food chain model with general functional response and discontinuous harvesting
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING(2020)
摘要
In this paper, a delayed food chain model with general functional response and discontinuous harvesting is considered. Under some reasonable assumptions, one proves the positivity and boundedness of the solutions. Moreover, the sufficient conditions for the existence of the periodic solution are found by using differential inclusion theory and topological degree theory. Most interestingly, the globally asymptotically stable of the periodic solution is studied by using a selected Lyapunov function and the sufficient conditions for it are given. Finally, one gives the numerical simulations to confirm the theoretical results.
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关键词
Periodic solutions, General functional response, Food chain model, Discontinuous harvesting
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