The Limit Behavior of a Stochastic Logistic Model with Individual Time-Dependent Rates

Yilun Shang

Journal of Mathematics, 2013, vol. 2013, 1-7

Abstract:

We investigate a variant of the stochastic logistic model that allows individual variation and time-dependent infection and recovery rates. The model is described as a heterogeneous density dependent Markov chain. We show that the process can be approximated by a deterministic process defined by an integral equation as the population size grows.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:502635

DOI: 10.1155/2013/502635

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