科研之友
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摘要
The stability of the SIR epidemic model with information variable and limited medical resources was studied. When the basic reproduction ratio R-0 < 1, there exists the disease-free equilibrium and when the basic reproduction ratio R-0 > 1, we obtain the sufficient conditions of the existence of the endemic equilibrium. The local asymptotical stability of equilibrium is verified by analyzing the eigenvalues and using the Routh-Hurwitz criterion. We also discuss the global asymptotical stability of the endemic equilibrium by autonomous convergence theorem. A numerical analysis is given to show the effectiveness of the main results.
