A Nonlinear Malaria Transmission Epidemic Model’s Stability Analysis Implementing an Optimized Numerical Approach

Abstract

Malaria remains one of the major health concerns that has plagued humanity for thousands of years, especially in tropical and subtropical areas. In this study,the dynamics of malaria will be discussed precisely and a detailed SEIHRD (Susceptible- Exposed- Infected- Hospitalized- Recovered Deceased) model will be proposed that search for the transmission of this vector-borne disease involving the interaction between human hosts and female Anopheles mosquitoes. Key biological and clinical features such as incubation period of both human host sand mosquitoes,period of infection, hospitalization etc. are integrated in this model. The basicreproduction number R0 is determined by using next generation matrix method and stability analysis for both disease free equilibrium (DFE) and endemic equilibrium (EE) are discussed thoroughly. Numerical simulation is conducted by using system’s dynamics under different observations. MATLABprogramming language has been used for the simulation consisting of Runge-Kutta method and algebraic computa tion. It explores numerous strategies to minimize the effects
of malaria by gathering information conducted from simulation. It portrays an important framework about public
health and provides a better methodology on modeling mod ern and effective procedures to control this mosquito-borne disease