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PERMANENCE AND GLOBAL STABILITY FOR NONLINEAR DISCRETE MODEL

CHEN XIAOXING

School of Mathematics and Computer, Fuzhou University, Fuzhou, Fujian 350002, China

https://doi.org/10.1142/S0219525906000628Cited by:1 (Source: Crossref)

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:

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