Improving Stability Conditions for Equilibria of SIR Epidemic Model with Delay under Stochastic Perturbations

Leonid Shaikhet
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Leonid Shaikhet: Department of Mathematics, Ariel University, Ariel 40700, Israel

Mathematics, 2020, vol. 8, issue 8, 1-13

Abstract: So called SIR epidemic model with distributed delay and stochastic perturbations is considered. It is shown, that the known sufficient conditions of stability in probability of the equilibria of this model, formulated immediately in the terms of the system parameters, can be improved by virtue of the method of Lyapunov functionals construction and the method of Linear Matrix Inequalities (LMIs). It is also shown, that stability can be investigated immediately via numerical simulation of a solution of the considered model.

Keywords: SIR epidemic model; stochastic perturbations; stability of equilibria; linear matrix inequality; numerical simulation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (2)

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