On a stochastic disease model with vaccination
type: Item
instance of: scholarly article
title: On a stochastic disease model with vaccination
zbMATH Open document ID: 1150.92006
DOI: 10.1007/BF02874704
author: Stefania Maria Buccellato
author: Elisabetta Tornatore
author: Pasquale Vetro
publication date: 2007-08-07T00:00:00Z
review text: The authors study a stochastic SIS (susceptible-infective-susceptible) model with vaccination and temporary immunity viewed as a stochastic perturbation of the deterministic system that governs the spread of a disease into a population with vaccinated individuals. First, existence of a unique positive solution of the stochastic differential system is established and a sufficient condition for the eradication of the disease is derived. Then, by using Lyapunov functions, the stability of a disease-free equilibrium is proved. Numerical simulations based on the Euler-Maruyama scheme are performed to compare the behaviour of solutions of the deterministic and stochastically perturbed SIS systems.
reviewed by: Svitlana P. Rogovchenko
Mathematics Subject Classification ID: 92C60
Mathematics Subject Classification ID: 60H10
Mathematics Subject Classification ID: 34F05
Mathematics Subject Classification ID: 34D20
zbMATH DE Number: 5177396
zbMATH Keywords: disease free equilibrium
zbMATH Keywords: stability
zbMATH Keywords: Lyapunov functions
MaRDI profile type: Publication
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published in: Rendiconti del Circolo Matematico di Palermo
description: scientific article; zbMATH DE number 5177396