Browsing by Author "MENSAH, JOHN-AMOAH"

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    DYNAMICS OF MULTI INFECTIONS DISEASE (MALARIA-ELEPHANTIASIS-ZIKA VIRUS) TRANSMISSION IN MOSQUITO ENDEMIC REGIONS
    (KNUST, 2019-10) MENSAH, JOHN-AMOAH
    Mosquitoes are one of the deadliest insects in the world. Their ability to carry and spread disease to humans cause millions of deaths every year. The worldwide incidence of diseases caused by mosquitoes has risen 30-fold in the past 30 years, and more countries are reporting their first outbreaks of the mosquito caused diseases. Zika, Malaria, and Elephantiasis are all transmitted to humans by the Aedes aegypti mosquito. More than half of the world’s population live in areas where this mosquito species are present. Sustained mosquito control efforts are important to prevent outbreaks from these diseases. There are several different types of mosquitoes and some have the ability to carry many different diseases. The study presents a multi-infections system model to study the transmission dynamics of Malaria, Zika-Virus and Elephantiasis in an endemic region such as Kedougou in the South Eastern part of Senegal and other parts of the world. This makes it possible to have multi￾infections of the three diseases simultaneously. The main objective of this work was to study the dynamics of multi-infections (Malaria-Elephantiasis-Zika virus) and transmission through the use of mathematical model, to determine the stability of the multi-infections model, the co-infections model and also study the single models for individual diseases including Malaria, Zika and Elephantiasis. The disease-free equilibrium is performed and it was shown to be globally asymptotically stable when the associated threshold number known as the basic reproduction number for the model is R0 < 1. Investigation on the existence and stability of equilibria was also derived, the model was found to exhibit backward bifurcation. Thus, R0 less than unity is not sufficient to eradicate the disease from the population and there was the need to lower R0 below a certain threshold for effective disease control. Sensitivity analysis was performed to determine parameters that have high influence on the basic reproduction number. Optimal control policies was also used as measures to eradicate the diseases from the system.