Department of Mathematics

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Mathematical Modelling of the Malaria Infectious Disease
(Department of Mathematics, NITS, 2022) Goel, Tushar
Malaria is a mosquito-borne, potentially lethal illness. It is transmitted by the bite of an infected Anopheles mosquito. Malaria can be fatal if not treated promptly. High temperature, muscle and joint pain, myalgia, cutaneous rash, hemorrhagic episodes, and circulatory shock are the most typical symptoms. Malaria is a dangerous disease that has spread over the world. Early and correct diagnosis is critical for lowering mortality. The purpose of this research is to develop and test a malaria model. In the malaria model, the disease free equilibrium (DFE) and the endemic equilibrium (EE) are two equilibria. The equilibria’s existence and local stability are determined by the basic reproduction number. We also examine the sensitivity of the parameters to determine which are the most significant in the model for reducing the disease. Numerical simulations are used to demonstrate the analytic findings. Our numerical findings demonstrate that those who have been affected should be adequately treated, and that raising mosquito death rates can aid in the eradication of malaria in the community.