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| The Influence of Human Behavior on HeroinDynamics |
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| KeyWord:Nonlinear incidence rate Heroin model Human behavior Global
asymptotic stability |
| Author Name | Affiliation | | Shu Fang | School of Science, Chang’an University, Xi’an, Shaanxi 710064, China | | Tailei Zhang | School of Science, Chang’an University, Xi’an, Shaanxi 710064, China | | Zhimin Li | School of Science, Chang’an University, Xi’an, Shaanxi 710064, China |
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| 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 re-
production 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 corre-
lation 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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