A STUDY OF MATHEMATICAL MODELLING OF MALARIA

Abstract

Malaria is a disease that can be transferred from person to person through female Anopheles mosquito bites and is brought on by the Plasmodium parasite. A mathematical model is utilized to mathematical equations to describe the dynamics of malaria and the compartments in the human population. that capture the links between the pertinent compartmental properties. The goal of the study is to understand the key factors that influence the transmission and spread of the endemic malaria disease and to try to identify effective strategies and tactics for its prevention and control via the use of mathematical modelling. The malaria model is a system of ordinary differential equations (ODEs) developed using basic mathematical modelling methods. The study also looks at the stability of the equilibrium points for the model. The findings demonstrate that the sickness vanishes and the disease-free equilibrium point is stable if the reproduction number, R0, is smaller than 1. The disease-free equilibrium becomes unstable if R0 rises above 1. There, the endemic situation has a special balance, re-invasion is always possible, and human infection continues to spread. Matlab software was used to give the numerical results. These simulations aid in illuminating population behavior through time as well as the consistency of endemic and disease-free equilibrium points.