Periodic solutions for a two-species nonautonomous competition system with diffusion and impulses

Lingzhen Dong, Lansun Chen and Peilin Shi

Chaos, Solitons & Fractals, 2007, vol. 32, issue 5, 1916-1926

Abstract: By re-estimating the upper bound of ∫0ωeui(t)dt (i=1,2), we generalize a result about the existence of a positive periodic solution for a two-species nonautonomous patchy competition system with time delay. Based on that system, we consider the impulsive harvesting and stocking, and establish a two-species nonautonomous competition Lotka–Volterra system with diffusion and impulsive effects. With the continuation theorem of coincidence degree theory, we obtain the existence of a positive periodic solution for such a system. At last, two examples are given to demonstrate our results.

Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:32:y:2007:i:5:p:1916-1926

DOI: 10.1016/j.chaos.2006.01.003

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