Dynamics of a stochastic heroin epidemic model with bilinear incidence and varying population size-Reference-Cited by-同舟云学术

Dynamics of a stochastic heroin epidemic model with bilinear incidence and varying population size

Published:2019-01 Issue:01 Volume:12 Page:1950005
ISSN:1793-5245
Container-title:International Journal of Biomathematics
language:en
Short-container-title:Int. J. Biomath.

Author:

Liu Shitao¹,Zhang Liang¹^ORCID,Zhang Xiao-Bing²,Li Aibing¹

Affiliation:

1. College of Science, Northwest A&F University, Yangling, Shaanxi 712100, P. R. China

2. Department of Applied Mathematics, Lanzhou University of Technology, Lanzhou, Gansu 730050, P. R. China

Abstract

We investigate a stochastic heroin epidemic model with bilinear incidence and varying population size. Sufficient criteria for the extinction of the drug abusers and the existence of ergodic stationary distribution for the model are established by constructing suitable stochastic Lyapunov functions. By analyzing the sensitivity of the threshold of spread, we obtain that prevention is better than cure. Numerical simulations are carried out to confirm the analytical results.

Funder

National Natural Science Foundation of China

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793524519500050

Reference35 articles.

1. On the stability properties of a stochastic model for phage–bacteria interaction in open marine environment

2. Determining Important Parameters in the Spread of Malaria Through the Sensitivity Analysis of a Mathematical Model

3. A stochastic model of AIDS and condom use