https://doi.org/10.1140/epjp/s13360-023-04625-7
Regular Article
The impact of Lévy noise on a stochastic measles model
1
Department of Mathematics & Statistics, University of Swat, Swat, KPK, Pakistan
2
Department of Mathematics, Research Groups MASEP & Bioinformatics FG, University of Sharjah, Sharjah, UAE
3
Department of Mathematics, Faculty of Science, King Khalid University, 62529, Abha, Saudi Arabia
Received:
2
August
2023
Accepted:
20
October
2023
Published online:
9
November
2023
In this study, we take into account a measles epidemic system with random perturbations, composed of five distinct compartments of vulnerable, vaccinated, exposed, infected and the recovered. We consider the proposed model for existence and unique solution in the non-negative possible area of non-local solution. To develop the necessary condition we used Lyapunov function for existence of stationary distribution and also developed result for disease extinction. The effect of noise terms and brownian motion is very high on the transmission of the epidemic, based on our obtained results. The infection may become vanish or decrease if the noise are large. To verify our developed scheme, the results for each compartments have been simulated numerically.
Copyright comment Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
