publication . Other literature type . Article . 2004

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

Hai-Feng Huo; Wan-Tong Li;
  • Published: 01 Aug 2004
  • Publisher: Elsevier BV
Abstract
The discrete Leslie-Gower predator-prey model is studied. The model allows for afluctuating 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.
Subjects
arXiv: Quantitative Biology::Populations and Evolution
free text keywords: Modelling and Simulation, Computer Science Applications, Mathematical analysis, Linearization, Lyapunov function, symbols.namesake, symbols, Periodic graph (geometry), Mathematics
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