Existence of Periodic Solution for a Non-Autonomous Stage-Structured Predator-Prey System with Impulsive Effects

Lifeng Wu, Zuoliang Xiong, Yiping Deng

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DOI: 10.4236/am.2011.23042                

Abstract

In this paper, we studied a non-autonomous predator-prey system where the prey dispersal in a two-patch environment. With the help of a continuation theorem based on coincidence degree theory, we establish sufficient conditions for the existence of positive periodic solutions. Finally, we give numerical analysis to show the effectiveness of our theoretical results.

Keywords

Periodic Solution, Coincidence Degree Theory, Stage-Structured, Impulsive

Conflicts of Interest

The authors declare no conflicts of interest.

References

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