MULTIPLICITY OF POSITIVE PERIODIC SOLUTIONS FOR A NICHOLSON-TYPE BLOWFLIES MODEL WITH NONLINEAR DECIMATION TERMS

Yidi Zhao; Shaowen Liu; Yuqi Cao; Qing Ma; Yan Yan

Yidi Zhao Department of Mathematics, Northeast Forestry University, Harbin 150040, P. R. China
Shaowen Liu Department of Mathematics, Northeast Forestry University, Harbin 150040, P. R. China
Yuqi Cao Department of Mathematics, Northeast Forestry University, Harbin 150040, P. R. China
Qing Ma Department of Mathematics, Northeast Forestry University, Harbin 150040, P. R. China
Yan Yan Department of Mathematics, Northeast Forestry University, Harbin 150040, P. R. China

Article ID: 2569

Keywords: Nicholson’s blowflies model; positive periodic solution; multiple time delays; Krasnoselskii’s fixed point theorem

Abstract

This study considers a Nicholson-type blowflies model with nonlinear decimation terms in a periodic environment. The sufficient condition for this model to have at least two positive periodic solutions is elucidated. Our result is obtained by applying the Krasnoselskii fixed point theorem. Example and its simulations are given to illustrate our result.

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