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：4
页码：447-451
出版社：Department of Pure & Industrial Chemistry, University of Port Harcourt
摘要：We proposed a mathematical model of infectious disease dynamics. The model is a system of first order ordinary differential equations. The population is partitioned into three compartments of Susceptible S(t) , Infected I(t) and Recovered R(t) . Two equilibria states exist: the disease-free equilibrium which is locally asymptotically stable if R o < 1 and unstable if R o > 1. Numerical simulation of the model shows that an increase in vaccination leads to low disease prevalence in a population.
其他摘要：We proposed a mathematical model of infectious disease dynamics. The model is a system of first order ordinary differential equations. The population is partitioned into three compartments of Susceptible S(t) , Infected I(t) and Recovered R(t) . Two equilibria states exist: the disease-free equilibrium which is locally asymptotically stable if R o < 1 and unstable if R o > 1. Numerical simulation of the model shows that an increase in vaccination leads to low disease prevalence in a population.
其他关键词：Infectious Disease; Equilibrium States; Basic Reproduction Number
