MATHEMATICAL ANALYSIS FOR DYNAMICAL SPREAD OF MALARIA IN THE POPULATION WITH CONTROLLING MEASURES
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Date
2017-07
Journal Title
Journal ISSN
Volume Title
Publisher
International Journal of Innovation and Scientific Research
Abstract
A system of differential equation approach was used to model the dynamical spread of malaria where humans
and vectors interact and infect each other. Positivity of solution showed that there exists a domain where the model is
epidemiologically and mathematically well-posed. The basic reproduction number R0 < 1 shows that disease can be
controlled in the environment, otherwise the disease persist and become endemic whenever R0 > 1. Also, the numerical
analysis performed shows that the most effective strategies for controlling malaria is to reduce the vector biting rate and
increased the human treatment.
Description
Staff Publication
Keywords
Malaria,, Humans,, vectors,, mathematical model,, stability analysis,, simulation study.