Stability Analysis of a Reaction-Diffusion Heroin Epidemic Model

Liang Zhang and Yifan Xing

Complexity, 2020, vol. 2020, 1-16

Abstract:

A reaction-diffusion (R-D) heroin epidemic model with relapse and permanent immunization is formulated. We use the basic reproduction number to determine the global dynamics of the models. For both the ordinary differential equation (ODE) model and the R-D model, it is shown that the drug-free equilibrium is globally asymptotically stable if , and if , the drug-addiction equilibrium is globally asymptotically stable. Some numerical simulations are also carried out to illustrate our analytical results.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:hin:complx:3781425

DOI: 10.1155/2020/3781425

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