PERMANENCE AND GLOBAL STABILITY FOR NONLINEAR DISCRETE MODEL

Chen Xiaoxing ()
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Chen Xiaoxing: School of Mathematics and Computer, Fuzhou University, Fuzhou, Fujian 350002, China

Advances in Complex Systems (ACS), 2006, vol. 09, issue 01n02, 31-40

Abstract: A discrete nonlinear model is studied and sufficient conditions which guarantee the permanence of the model are obtained. Assuming that the coefficients in the model are periodic, the existence of periodic solutions are obtained. Sufficient conditions are obtained to ensure the global stability of the positive periodic solution by constructing a suitable Lyapunov function.

Keywords: Permanence; discrete; nonlinear; global stability (search for similar items in EconPapers)
Date: 2006
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DOI: 10.1142/S0219525906000628

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