Dynamical Modeling of Measles with Different Saturated Incidence Rate

Proceedings of Sixth International Congress on Information and Communication Technology(2021)

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摘要
A saturated incident rate of an improved Measles model was studied. There are two equilibriums in the model. Theorems were presented and proved. \(R_{0}\) was constructed through the matrix process. Linearization and the Routh–Hurwitz criterion were used to prove the stability of the two equilibriums. Sensitivity Parameter analysis was performed. For numerical simulation, Maple software was used, and the saturating constants’ effect was presented on the improved model.
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关键词
Measles epidemic model, Linearization, Disease equilibrium, Local stability, Routh–Hurwitz criterion
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