Mathematical Modeling and Stability Analysis of a SIRV Epidemic Model with Non-linear Force of Infection and Treatment

Autor:	R. A. Raji, Oluwatayo Michael Ogunmiloro, M. O. Oke, C. T. Akinwumi
Rok vydání:	2019
Předmět:	Nonlinear system education.field_of_study Stability theory Population Applied mathematics Force of infection General Medicine State (functional analysis) education Epidemic model Stability (probability) Basic reproduction number Mathematics
Zdroj:	Communications in Mathematics and Applications. 10
ISSN:	0975-8607 0976-5905
DOI:	10.26713/cma.v10i4.1172
Popis:	This paper considers the Susceptible-Infected-Vaccinated-Recovered ( SIRV ) deterministic model with a non linear force of infection and treatment, where individual humans that are vaccinated losses their vaccination after some time and become vulnerable to infections. The basic reproduction number \(R_0\) obtained from the model system is an epidemic threshold that determines if a disease will continue to ravage the human population or not.\ The model state equations considered in this paper possess two steady-state solutions such that if \(R_0 1\), a unique infection-persistent steady-state solutions are established, which is also locally and globally asymptotically stable. Thus, it leads to the persistence of infections in the human host population. Finally, numerical simulations were carried out to validate our theoretical results.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::9f6e70e0688246160d5b2972518c33a6 https://doi.org/10.26713/cma.v10i4.1172 Zobrazit plný text záznamu