<?xml version="1.0" encoding="UTF-8"?><xml><records><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">ONYANGO  OMONDI</style></author><author><style face="normal" font="default" size="100%">OGADA  ACHIENG</style></author><author><style face="normal" font="default" size="100%">THIRIKA  MWENDE</style></author><author><style face="normal" font="default" size="100%">LAWI G.O.</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">MODELING MALARIA AND ROTAVIRUS CO-INFECTION</style></title><secondary-title><style face="normal" font="default" size="100%">Neural, Parallel, and Scientific Computations</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2018</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2018</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://acadsol.eu/npsc/articles/26/2/2.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">26</style></volume><pages><style face="normal" font="default" size="100%">26</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;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 ${ R_0 &amp;lt; 1}$&amp;nbsp; and ${ R_0 &amp;gt; 1 }$ 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 ${ R_{mr} \ &amp;lt; 1}$&amp;nbsp; 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.&lt;/p&gt;
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