期刊
NONLINEAR DYNAMICS
卷 72, 期 3, 页码 507-516出版社
SPRINGER
DOI: 10.1007/s11071-012-0730-6
关键词
Predator-prey; Predator cannibalism; Periodic solution; Global stability
资金
- National Natural Science Foundation of China [11171314, 11147015]
- Natural Science Foundation of Shan'Xi Province [2012021002-1]
- Program for Basic Research [2010011007]
The purpose of this paper is to study the existence and global stability of a periodic solution for a discrete predator-prey system with the Beddington-DeAngelis functional response and predator cannibalism. By using the continuation theorem, the existence conditions of at least one periodic solution are obtained, and the sufficient conditions, which ensure the global stability of the positive periodic solution, are derived by constructing a special Lyapunov function.
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