Abstract
Malaria is one of infectious diseases and has become the most public health issue especially in developing countries. Mathematically, the spread of malaria can be modeled to predict the dynamics of the outbreak of the disease. The present research studies the impact of migration of susceptible population on the dynamics of malaria transmission. In this paper an improved mathematical model is constructed based on a set of reasonable assumptions. Validity of the model is proved by verifying positivity of the solution. Mathematical analysis is carried out including equilibrium point analysis. Basic reproduction number of the model is determined so as to study the effect of migration parameter on the malaria outbreak. It has been observed that the migration parameter is directly proportional to the malaria outbreak. Hence, it is suggested that in order to keep the malaria outbreak under control, the migration parameter is required to be minimized. That is, migration of populations is recommended to reduce so as to reduce the impact of malaria outbreak.
Highlights
Malaria is an infectious disease caused by the Plasmodium parasite and transmitted among humans through bites of female Anopheles mosquitoes
A SIR model is applied to malaria transmission between human and mosquito populations and studied the dynamics of the disease
A mathematical model for describing the dynamics of malaria disease is formulated taking into account the compartmentalization of both the human and mosquito populations
Summary
Malaria is an infectious disease caused by the Plasmodium parasite and transmitted among humans through bites of female Anopheles mosquitoes. It remains one of the most prevalent and lethal human infections throughout the world. The incidence of malaria increases as the warming increases Both the increases and fluctuations in temperature affect favorably the vector and parasite life cycles. This can cause reduced prevalence of the disease in cold areas, while it may increase in warm and hot areas. Climate change can affect the malaria prevalence pattern by migration from lower latitudes to regions where the human population has not developed immunity to the disease
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