AN EPIDEMIOLOGICAL MODEL OF MALARIA PARASITE TRANSMISSION ACCOUNTING FOR ASYMPTOMATIC HUMANS
Abstract
This study aims to develop and analyse a mathematical model of malaria that
incorporates the effects of asymptomatic humans. The model accounts for both
symptomatic and asymptomatic infectious individuals and their respective
contributions to disease transmission. Using a system of differential equations, we
explore the dynamics between humans and mosquitoes and derive the basic
reproduction number, which determines the threshold conditions for a malaria
outbreak. The study focuses on the impact of asymptomatic individuals on the
persistence and control of malaria. Numerical simulations are performed to assess
how various epidemiological parameters influence the spread of the disease,
particularly the role of asymptomatic carriers. By relating the model to current data,
we were able calculate the reproduction number and provide insights into the hidden
dynamics of malaria transmission and the importance of addressing asymptomatic
cases in public health strategies.
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