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arXiv · 2111.13430

A discrete-time epidemic SISI model

S. K. Shoyimardonov
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Abstract

We consider a discrete-time epidemic SISI model in case when the population size is a constant, so the per capita death rate is equal to per capita birth rate. The evolution operator of this model is a non-linear operator which depends on seven parameters. Reducing it to a quadratic stochastic operator, we prove uniqueness of interior fixed point of the operator and study the limit behavior of the trajectory under some conditions to parameters.

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S. K. Shoyimardonov. 2021-11-26. A discrete-time epidemic SISI model. https://doi.org/10.29229/uzmj.2021-2-14

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