Analysis of stability for a discrete ratio-dependent predator-prey system

Guangye Chen, Zhidong Teng () and Zengyun Hu
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Guangye Chen: Xinjiang University
Zhidong Teng: Xinjiang University
Zengyun Hu: Xinjiang University

Indian Journal of Pure and Applied Mathematics, 2011, vol. 42, issue 1, 1-26

Abstract: Abstract The paper investigated the dynamical behaviors of a two-species discrete ratio-dependent predator-prey system. The local stability of the equilibria is obtained by using the linearization method. Further, a new sufficient condition on the global asymptotic stability of the positive equilibrium is established by using an iteration scheme and the comparison principle of difference equations.

Keywords: Discrete-time predator-prey system; Ratio-dependent functional response; Local and global stability; Variational matrix; Iteration scheme (search for similar items in EconPapers)
Date: 2011
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DOI: 10.1007/s13226-011-0001-0

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