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Zbl 1213.49046
Lu, Chun; Zhang, Lijie
Permanence and global attractivity of a discrete semi-ratio dependent predator-prey system with Holling II type functional response.
(English)
[J] J. Appl. Math. Comput. 33, No. 1-2, 125-135 (2010). ISSN 1598-5865; ISSN 1865-2085/e

Summary: We propose a discrete semi-ratio dependent predator-prey system with Holling II type functional response. For general nonautonomous case, sufficient conditions which ensure the permanence and the global stability of the system are obtained; for periodic case, sufficient conditions which ensure the existence of a globally stable positive periodic solution of the system are obtained.
MSC 2000:
*49N75 Pursuit and evasion games
49M25 Finite difference methods
34C25 Periodic solutions of ODE
34D23 Global stability

Keywords: discrete; periodic solution; permanence; global stability

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