Agyingi, Ephraim

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Masthead LogoVirginia Commonwealth UniversityVCU Scholars CompassBiology and Medicine Through MathematicsConference 2019May 16th, 12:00 PMA generalized model of the transmission dynamicsof leishmaniasis with multiple time delaysEphraim AgyingiRochester Institute of Technology, eoasma@rit.eduFollow this and additional works at: https://scholarscompass.vcu.edu/bammPart of the Life Sciences Commons, Medicine and Health Sciences Commons, and the PhysicalSciences and Mathematics CommonsThis Event is brought to you for free and open access by the Dept. of Mathematics and Applied Mathematics at VCU Scholars Compass. It has beenaccepted for inclusion in Biology and Medicine Through Mathematics Conference by an authorized administrator of VCU Scholars Compass. Formore information, please contact libcompass@vcu.edu.https://scholarscompass.vcu.edu/bamm/2019/thur/4A generalized model of the transmission dynamics of leishmaniasis with multiple time delays Ephraim Agyingi and Tamas Wiandt  School of Mathematical Sciences, RIT, NY 14623, USA  Leishmaniasis is a zoonotic disease transmitted to humans by sandflies. This paper presents a generalized SI model that accounts for all available animal reservoirs, human host and sandflies vector within a given community. Discrete delays that represent the time between inoculation and infectiousness are incorporated into all population groups. The reproduction number of the model is computed and used to study the equilibriums of the system. Analytic results establishing local asymptotic and global stability of the disease free equilibrium are provided. The existence of a unique endemic equilibrium of the model is ascertained and numerical results that exhibit bifurcation as the time delays pass through a set of critical values is demonstrated for a special case of the model.    

A generalized model of the transmission dynamics of leishmaniasis with multiple time delays

https://scholarscompass.vcu.edu/cgi/viewcontent.cgi?article=1329&context=bamm

A generalized model of the transmission dynamics of leishmaniasis with multiple time delays

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