MODELING MALARIA AND ROTAVIRUS CO-INFECTION

TitleMODELING MALARIA AND ROTAVIRUS CO-INFECTION
Publication TypeJournal Article
Year of Publication2018
AuthorsOMONDI ONYANGO, ACHIENG OGADA, MWENDE THIRIKA, G.O. LAWI
JournalNeural, Parallel, and Scientific Computations
Volume26
Issue2
Start Page143
Pagination26
Date Published2018
ISSN1056-2176
Abstract

A mathematical model has been developed to explore the co-infection of rotavirus and malaria. A qualitative and comprehensive mathematical analysis has been carried out. A rotavirus only model is considered first. In its analysis, the basic reproduction number ${ (R_0)}$ is calculated. The existence of a disease free and a unique positive endemic equilibria is established and are proved to be both globally stable when ${ R_0 < 1}$  and ${ R_0 > 1 }$ respectively. The basic reproduction number ${ (R_{mr} ) }$ of the co-infection model has also been established. The disease free equilibrium is proved to be locally stable whenever ${ R_{mr} \ < 1}$  but not globally stable due to coinfection. However, it has been observed that if maximum protection is given against co-infection, then global stability may be achieved. Analysis of co-infection model indicates that it may undergo a forward bifurcation. Numerical simulations using reasonable parameter values indicate that the co-infection persists whenever ${ R_{mr} }$ is greater than unity and dies out when ${ R_{mr} }$ is less than unity.

URLhttps://acadsol.eu/npsc/articles/26/2/2.pdf
DOI10.12732/npsc.v26i2.2
Refereed DesignationRefereed
Full Text

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