Document Type

Article

Publication Date

5-1-2020

Publication Title

Nonlinear Analysis: Modelling and Control

DOI

https://doi.org/10.15388/namc.2020.25.16660

ISSN

2335-8963

Abstract

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.

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