期刊名称：Journal of Applied Sciences and Environmental Management
印刷版ISSN：1119-8362
出版年度：2018
卷号：22
期号：7
页码：1089-1095
出版社：Department of Pure & Industrial Chemistry, University of Port Harcourt
其他摘要：In this paper, we formulated a mathematical model of the dynamics of Ebola virus infection incorporating effectiveness of drug usage. The infection free and infection persistence equilibrium points were obtained. The control reproduction number was obtained which was used to analyse the local and global stability of the infectionfree equilibrium. Using the method of linearization, the infection-free equilibrium (IFE) state was found to be locally asymptotically stable if R c < 1 and unstable if R c > 1. By constructing lyapunov function, the infection-free equilibrium was found to be globally asymptotically unstable if R c > 1. Numerical simulation of the model was done. It is observed that, as percentage of effectiveness of drug administration increases, the control reproduction number decreases. This suggests that with the help of drugs usage, the immunes system have the ability to suppress the increase of infected cells, as well as virus load which shown that the virus does not maintain an infection in the system.
其他关键词：Drug Usage;Ebola virus;Global stability;Immune response;Mathematical model
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