Role of Differential Susceptibility and Infectiousness on the Dynamics of an SIRS Model for Malaria Transmission-Reference-Cited by-同舟云学术

Role of Differential Susceptibility and Infectiousness on the Dynamics of an SIRS Model for Malaria Transmission

Published:2023-10-21 Issue:10 Volume:15 Page:1950
ISSN:2073-8994
Container-title:Symmetry
language:en
Short-container-title:Symmetry

Author:

Safan Muntaser¹²³^ORCID,Bichara Derdei⁴,Yong Kamuela E.⁵,Alharthi Amira²,Castillo-Chavez Carlos³⁶

Affiliation:

1. Mathematics Department, Faculty of Science, Mansoura University, Mansoura 35516, Egypt

2. Mathematics Department, Faculty of Science, Umm Al-Qura University, Makkah 21955, Saudi Arabia

3. Simon A. Levin Mathematical, Computational and Modeling Sciences Center, Arizona State University, Tempe, AZ 85287, USA

4. Department of Mathematics, California State University, Fullerton, CA 92831, USA

5. Division of Mathematics, Natural and Health Sciences, University of Hawaii—West Oahu, Kapolei, HI 96707, USA

6. School of Human Evolution and Social Change, Arizona State University, Tempe, AZ 85281, USA

Abstract

A deterministic model for the transmission dynamics of SIRS-type malaria in hosts and SI in mosquito populations is proposed. The host population is differentiated between naive, primary, and secondary susceptible individuals. Primary and secondary infected individuals (and also recovered) are differentiated from each other according to their degree of infectiousness. The impact of changing the relative susceptibilities of primary and secondary (with respect to naive) susceptible individuals on the dynamics is investigated. Also, the impact of changing the relative infectiousness of secondary infected, primary, and secondary recovered individuals (with respect to primary infected) on the transmission dynamics of malaria is studied.

Publisher

MDPI AG

Subject

Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2073-8994/15/10/1950/pdf

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