Author: RÃos-Gutiérrez, Andrés; Torres, Soledad; Arunachalam, Viswanathan
Title: Studies on the basic reproduction number in stochastic epidemic models with random perturbations Cord-id: 6xvr42m3 Document date: 2021_6_12
ID: 6xvr42m3
Snippet: In this paper, we discuss the basic reproduction number of stochastic epidemic models with random perturbations. We define the basic reproduction number in epidemic models by using the integral of a function or survival function. We study the systems of stochastic differential equations for SIR, SIS, and SEIR models and their stability analysis. Some results on deterministic epidemic models are also obtained. We give the numerical conditions for which the disease-free equilibrium point is asympt
Document: In this paper, we discuss the basic reproduction number of stochastic epidemic models with random perturbations. We define the basic reproduction number in epidemic models by using the integral of a function or survival function. We study the systems of stochastic differential equations for SIR, SIS, and SEIR models and their stability analysis. Some results on deterministic epidemic models are also obtained. We give the numerical conditions for which the disease-free equilibrium point is asymptotically stable.
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