Year: 2020
Author: Shu Fang, Tailei Zhang, Zhimin Li
Journal of Nonlinear Modeling and Analysis, Vol. 2 (2020), Iss. 2 : pp. 143–159
Abstract
In this paper, considering the influence of human behavior on heroin abuse, we establish a mathematical model to describe the spread of heroin. When the basic reproduction number is less than one, the heroin-free abuse equilibrium point is globally asymptotically stable. When the basic reproduction number is greater than one, the model has a unique heroin abuse equilibrium point which is globally asymptotically stable, and the heroin-free abuse equilibrium point is unstable. Finally, based on the partial rank correlation coefficients (PRCCs) and numerical simulations, the dynamic behavior of the model is further revealed. Our results show that human behavior can reduce the heroin abuse level.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2020.143
Journal of Nonlinear Modeling and Analysis, Vol. 2 (2020), Iss. 2 : pp. 143–159
Published online: 2020-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 17
Keywords: Nonlinear incidence rate Heroin model Human behavior Global asymptotic stability.