Co-dynamics model of the spread of malaria and COVID-19 with numerical solutions using the third-orderand the fourth-order Runge-Kutta methods.

We describe an existing co-dynamics model of the spread of malaria and COVID-19. Mathematical model can be used to find strategies to control the spread of malaria and COVID-19, so that their spread can be minimised in a population. The mathematical model we use is of the type of the SEI (Susceptible-Exposed-Infected) model for malaria and COVID-19 co-dynamics. For this model, we have three compartments of the human population and three compartments of the vector population. The compartments are based on S (Susceptible subpopulation), E (Exposed subpopulation), and I (Infected subpopulation). Solutions to this mathematical model can be obtained using numerical methods. We use the third-order and the fourth-order Runge-Kutta methods to solve the co-dynamics model. From our simulation results, both methods perform quite well. The fourth-order Runge-Kutta method theoretically has a higher accuracy than the third-order one. Our simulations in this paper confirm that, when solving the SEI model of the spread of malaria and COVID-19, the fourth-order Runge-Kutta method performs better than the third-order Runge-Kutta method. [ABSTRACT FROM AUTHOR]