TITLE:
Existence of Periodic Solution for a Non-Autonomous Stage-Structured Predator-Prey System with Impulsive Effects
AUTHORS:
Lifeng Wu, Zuoliang Xiong, Yiping Deng
KEYWORDS:
Periodic Solution, Coincidence Degree Theory, Stage-Structured, Impulsive
JOURNAL NAME:
Applied Mathematics,
Vol.2 No.3,
March
24,
2011
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.