Global Dynamics of a Discretized Heroin Epidemic Model with Time Delay

Xamxinur Abdurahman, Ling Zhang and Zhidong Teng

Abstract and Applied Analysis, 2014, vol. 2014, 1-10

Abstract:

We derive a discretized heroin epidemic model with delay by applying a nonstandard finite difference scheme. We obtain positivity of the solution and existence of the unique endemic equilibrium. We show that heroin-using free equilibrium is globally asymptotically stable when the basic reproduction number , and the heroin-using is permanent when the basic reproduction number .

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:742385

DOI: 10.1155/2014/742385

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