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Periodic solutions of a periodic delay predator-prey system

Authors:	Li Yongkun

Institution:	Department of Mathematics, Yunnan University, Kunming, Yunnan 650091, People's Republic of China

Abstract:	The existence of a positive periodic solution for $\begin{equation}\begin{cases} \frac{\mathrm{d}H(t)}{\mathrm{d}t}=r(t)H(t) \left1-\frac{H(t-\tau(t))}{K(t)}\right] -\alpha(t)H(t) P(t), \frac{\mathrm{d}P(t)}{\mathrm{d}t}=-b(t)P(t)+\beta(t)P(t)H(t-\sigma(t)) \end{cases} \end{equation}$ is established, where , , $\alpha$ , , $\beta$ are positive periodic continuous functions with period $\omega>0$ , and $\tau$ , $\sigma$ are periodic continuous functions with period $\omega$ .

Keywords:	Delay equation predator-prey system periodic solution

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