 Stability of epidemic model with time delays influenced by stochastic perturbations1This paper was written during a visit of V. Kolmanovskii and L. Shaikhet in Italy (Napoli, Urbino).1Edoardo Beretta, Vladimir Kolmanovskii and Leonid Shaikhet Mathematics and Computers in Simulation (MATCOM), 1998, vol. 45, issue 3, 269-277 Abstract: Many processes in automatic regulation, physics, mechanics, biology, economy, ecology etc. can be modelled by hereditary equations (see, e.g. [1–6]). One of the main problems for the theory of stochastic hereditary equations and their applications is connected with stability. Many stability results were obtained by the construction of appropriate Lyapunov functionals. In [7–11], the procedure is proposed, allowing, in some sense, to formalize the algorithm of the corresponding Lyapunov functionals construction for stochastic functional differential equations, for stochastic difference equations. In this paper, stability conditions are obtained by using this procedure for the mathematical model of the spread of infections diseases with delays influenced by stochastic perturbations. Keywords: SIR-model; Stochastic perturbations; Stability conditions; Lyapunov functionals; Construction method (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:45:y:1998:i:3:p:269-277 Access Statistics for this article Mathematics and Computers in Simulation (MATCOM) is currently edited by Robert Beauwens More articles in Mathematics and Computers in Simulation (MATCOM) from Elsevier |
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