Global Dynamics of Rational Difference Equations and

Keying Liu, Peng Li and Weizhou Zhong

Discrete Dynamics in Nature and Society, 2017, vol. 2017, 1-8

Abstract:

Global dynamics of a system of nonlinear difference equations was investigated, which had five kinds of equilibria including isolated points and a continuum of nonhyperbolic equilibria along the coordinate axes. The local stability of these equilibria was analyzed which led to nine regions in the parameters space. The solution of the system converged to the equilibria or the boundary point or in each region depending on nonnegative initial conditions. These results completely described the behavior of the system.

Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:1295089

DOI: 10.1155/2017/1295089

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