Mathematical modeling and simulation for malaria disease transmission using the CF fractional derivative

Abstract

A major global health problem continues to be malaria, a disease that can be fatal brought on by Plasmodium parasites and spread by the bite of infected Anopheles mosquitoes. We provide a deterministic mathematical model in this study to simulate the dynamics of malaria transmission between humans and mosquitoes. We present a new compartment for hospitalized patients as well as fractional calculus. The next-generation matrix technique is used to obtain the fundamental reproduction number, R0, and stability conditions for the model’s equilibrium points are derived. Both locally and globally, the sensitivity analysis for the fundamental reproduction number R0 is satisfied. In MAPLE, the Runge–Kutta fourth-order approach is used to simulate the model.

Keywords

• Mathematical model
• Fractional calculus
• Malaria
• Stability
• Reproduction number
• Sensitivity analysis