Sensitivity Analysis of Mathematical Model for Malaria Transmission with Saturated Incidence Rate
Sensitivity Analysis of Mathematical Model for Malaria Transmission with Saturated Incidence Rate
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Date
2019
Authors
Appiagyei, Ebenezer
Osman, Mojeeb AL-Rahman EL-Nor
Hassan, Nada Abdelsamad
Yang, Cuihong
Journal Title
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Volume Title
Publisher
Journal of Scientific Research & Reports
Abstract
Malaria is a life threatening vector borne disease caused by parasites that are transmitted to people through
the bites of infected female Anopheles mosquitoes. In this paper, we study and analyze mathematical model
of ordinary differential equations for human and mosquito with saturated incidence function. The stability of
the system was analyzed for the Malaria-Free Equilibrium (MFE) through the reproduction number R0 which
was obtained using the next generation matrix method. The MFE is locally asymptotical stable if R0 < 1 and
unstable otherwise. Moreover, our sensitivity analysis shows that the most effective parameter is, a, mosquito
biting rate and the less effective one is αh, human progression rate. Our numerical simulations show that,
reducing the biting rate of mosquitoes will reduce the number of exposed humans as well as infected individuals
and increase the number of treated individuals. This can be achieved by increasing the proportion of antibodies
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Citation
Osman, M. A., Ebenezer, A., Hassan, N. A., & Yang, C. (2019). Sensitivity analysis of mathematical model for malaria transmission with saturated incidence rate. Journal of Scientific Research and Reports, 22(3), 1-10.