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BIFURCATION OF A MUTUALISTIC SYSTEM WITH VARIABLE COEFFICIENTS AND IMPULSIVE EFFECTS

YONGZHEN PEI

School of Science, Tianjin Polytechnic University, Tianjin, P. R. China

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YONG YANG

School of Science, Tianjin Polytechnic University, Tianjin, P. R. China

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, and

CHANGGUO LI

Department of Basic Science, Institute of Military Traffic, Tianjin, P. R. China

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https://doi.org/10.1142/S1793524509000649Cited by:1 (Source: Crossref)

Abstract

In this paper, we introduce and study an impulsive mutualistic model with variable coefficients. By using Floquent theorem, the invasion threshold and the stability of the boundary periodic solution are obtained. Furthermore, by using standard techniques of bifurcation theory, the existent condition of the positive periodic solution is obtained. Finally, numerical simulations are carried out to confirm the main theorems.

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