Stability Analysis of SEIS Infectious Disease Model with Saturation Incidence

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Ming Cao

Abstract

The SEIS epidemic model with saturation incidence as discussed, and the basic regeneration number 0 R was proposed. Methods: Qualitative and stability theory of differential equations and numerical simulation. The basic regeneration number 0 R was proposed, and the system is globally asymptotically stable at the equilibrium point. The basic regeneration number R0 1, the system had disease-free equilibrium point 0 D , and the disease gradually died out. 0 R 1 the model had a unique endemic equilibrium point * D and the disease kept spreading and evolving into local endemic disease.

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How to Cite
Ming Cao. (2021). Stability Analysis of SEIS Infectious Disease Model with Saturation Incidence. CONVERTER, 2021(6), 49-55. Retrieved from https://converter-magazine.info/index.php/converter/article/view/368
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