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Stable periodic solution of the discrete periodic Leslie-Gower predator-prey model

✍ Scribed by Hai-Feng Huo; Wan-Tong Li

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
441 KB
Volume
40
Category
Article
ISSN
0895-7177

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✦ Synopsis

The discrete Leslie-Cower predator-prey model is studied. The model allows for a fluctuating environment. Sufficient conditions which guarantee the permanence of the model are obtained at first, assuming that the coefficients in the model are periodic, the existence of periodic solution are also obtained. Finally, by linearization of the model at positive periodic solution and construction of Lyapunov function, sufficient conditions are obtained to ensure the global stability of the positive periodic solution.

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