Existence and Convergence of the Positive Solutions of a Discrete Epidemic Model

Zhijian Wei and Meitao Le

Discrete Dynamics in Nature and Society, 2015, vol. 2015, 1-10

Abstract:

We consider a class of system of nonlinear difference equations arising from mathematical models describing a discrete epidemic model. Sufficient conditions are established that guarantee the existence of positive solutions, the existence of a unique nonnegative equilibrium, and the convergence of the positive solutions to the nonnegative equilibrium of the system of difference equations. The obtained results are new and they complement previously known results.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:434537

DOI: 10.1155/2015/434537

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