Some asymptotic properties of SEIRS models with nonlinear incidence and random delays

Autor:	Divine Wanduku, B.O. Oluyede
Jazyk:	angličtina
Rok vydání:	2020
Předmět:	endemic equilibrium basic reproduction number permanence in the mean Lyapunov functionals techniques extinction rate Analysis QA299.6-433
Zdroj:	Nonlinear Analysis, Vol 25, Iss 3 (2020)
Druh dokumentu:	article
ISSN:	1392-5113 2335-8963 12914800
DOI:	10.15388/namc.2020.25.16660
Popis:	This paper presents the dynamics of mosquitoes and humans with general nonlinear incidence rate and multiple distributed delays for the disease. The model is a SEIRS system of delay differential equations. The normalized dimensionless version is derived; analytical techniques are applied to find conditions for deterministic extinction and permanence of disease. The BRN R0* and ESPR E(e–(μvT1+μT2)) are computed. Conditions for deterministic extinction and permanence are expressed in terms of R0* and E(e–(μvT1+μT2)) and applied to a P. vivax malaria scenario. Numerical results are given.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/b9300bfecf294a129148005d2923f014 Zobrazit plný text záznamu View record in DOAJ