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Analysis of the SAITS alcoholism model on scale-free networks with demographic and nonlinear infectivity
Hong Xiang1, Fang-Fang Cui1, Hai-Feng Huo1
1Department of Applied Mathematics, Lanzhou University of Technology, Lanzhou, People's Republic of China.
Abstract:
A more realistic alcoholism model on scale-free networks with demographic and nonlinear infectivity is introduced in this paper. The basic reproduction number [Formula: see text] is derived from the next-generation method. Global stability of the alcohol-free equilibrium is obtained. The persistence of our model is also derived. Furthermore, the SAITS model with nonlinear infectivity is also investigated. Stability of all the equilibria and persistence are also obtained. Some numerical simulations are also presented to verify and extend our theoretical results.
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