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Positive periodic solution of a neutral predator-prey system

Authors:

Li Yongkun

Institution:

Department of Mathematics, Yunnan University, Kunming 650091, P.R.China

Abstract:

In this paper, the existence of a positive periodic solution to the following neutral predator-prey system

$\left\{ {\begin{array}{*{20}c} {\dot H(t) = rH(t)\left {1 - \frac{{a_1 (t)H(t - \tau ) + a_2 \dot H(t - \tau )}}{K}} \right] - a(t)H(t)P(t)} \\ {\dot P(t) = - b(\dot t)P(t) + \beta (t)H(t)P(t)} \\ \end{array} ,} \right.$

is studied, in which r, a₂, K and τ are positive constants, and a₁ (t), α(t), b(t) and β(t) are positive continuous functions of period ω. Project supported by the ABF of Yunnan Province

Keywords:

neutral delay system predator _prey system positive periodic solution topological degree

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