GLOBAL DYNAMICAL ANALYSIS OF A HEROIN EPIDEMIC MODEL ON COMPLEX NETWORKS | Zendy

Junyuan Yang | Zendy; Lihui Wang | Zendy; Xiaoxia Li | Zendy; Fengqin Zhang | Zendy

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GLOBAL DYNAMICAL ANALYSIS OF A HEROIN EPIDEMIC MODEL ON COMPLEX NETWORKS

Author(s) -

Junyuan Yang,

Lihui Wang,

Xiaoxia Li,

Fengqin Zhang

Publication year - 2016

Publication title -

journal of applied analysis and computation

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.55

H-Index - 21

eISSN - 2158-5644

pISSN - 2156-907X

DOI - 10.11948/2016032

Subject(s) - basic reproduction number , stability theory , epidemic model , sensitivity (control systems) , mathematics , transmission (telecommunications) , stability (learning theory) , control theory (sociology) , statistical physics , computer science , control (management) , physics , nonlinear system , demography , engineering , population , artificial intelligence , telecommunications , quantum mechanics , electronic engineering , machine learning , sociology

In this paper, a heroin epidemic model on complex networks is proposed. By the next generation matrix, the basic reproduction number R0 is obtained. If R0 < 1, then the drug-free equilibrium is globally asymptotically stable. If R0 > 1, there is an unique endemic equilibrium and it is also globally asymptotically stable. Our results show that if the degree of the network is large enough, the drug transmission always spreads. Sensitivity analysis of the basic reproduction number with the various parameters in the model are carried out to verify the important effects for control the drug transmission. Some simulations illustrate our theoretical results.

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