Some asymptotic properties of SEIRS models withnonlinear incidence and random delays

Authors

Divine Wanduku, Georgia Southern UniversityFollow
Broderick O. Oluyede, Georgia Southern UniversityFollow

Document Type

Article

Publication Date

5-1-2020

Publication Title

Nonlinear Analysis: Modelling and Control

DOI

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.

Comments

This work is licensed under a Creative Commons Attribution 4.0 International License.

Please read the Copyright Notice in Journal Policy.

Recommended Citation

Wanduku, Divine, Broderick O. Oluyede. 2020. "Some asymptotic properties of SEIRS models withnonlinear incidence and random delays." Nonlinear Analysis: Modelling and Control, 25 (3): 461-481: Vilnius University Press. doi: 10.15388/namc.2020.25.16660
https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/739