一类具有非线性感染率的HBV传染病模型的全局性研究(英文)
Global Dynamics of a kind of HBV Infection Model with Nonlinear Incidence Rate
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摘要: 研究了一类具有非线性感染率的HBV传染病模型.通过构造Lyapunov函数和第二复合矩阵,分别证明了当R0≤1时,系统的无病平衡点是全局稳定的;当R01时,系统的地方病平衡点是全局稳定的Abstract: A kind of HBV infection model with nonlinear incidence rate was studied.By constructing Lyapunov function and using the second additive compound matrix,it was proved that the infection-free equilibrium of system is globally stable when R0≤1;and the endemic equilibrium of system is globally stable when R01
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