Abstract：Considering the number of infected individuals warned by media and the number of susceptible individuals triggering isolation as two different thresholds, this paper formulates a kind of SIR epidemical model with two control strategies. The dynamic properties of differential equation system with two orthogonal discontinuous interfaces under different threshold conditions, such as the existence of sliding region, true and false equilibrium, the existence and stability of pseudo equilibrium and the global asymptotic stability of the model, are systematically studied by using Filippov convex combination method, etc. Finally, numerical simulations are carried out to support the conclusions.
张仲华, 张靖茹, 刘叶玲. 一类具有两种控制策略的SIR非连续传染病模型动力学研究[J]. 应用数学学报, 2020, 43(5): 897-914.
ZHANG Zhonghua, ZHANG Jingru, LIU Yeling. Dynamical Study on a Class of SIR Discontinuous Epidemic Model with two Control Strategies. Acta Mathematicae Applicatae Sinica, 2020, 43(5): 897-914.
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2020, Vol. 43 
