Twin periodic solutions of predator-prey dynamic system on time scales.

He, Rong-Hua; Li, Hong-Xu; Zhang, Liang

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In this paper, a discrete version of continuous non-autonomous predator-prey model with infected prey is investigated. By using Gaines and Mawhin's continuation theorem of coincidence degree theory and the method of Lyapunov function, some sufficient conditions for the existence and global asymptotical stability of positive periodic solution of difference equations in consideration are established. An example shows the feasibility of the main results.