201. Mathematical modeling and simulation for malaria disease transmission using the CF fractional derivative.
- Author
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Alqahtani, A.S., Ramzan, Sehrish, Zanib, Syeda Alishwa, Nazir, Aqsa, Masood, Khalid, and Malik, M.Y.
- Subjects
FRACTIONAL calculus ,MATHEMATICAL models ,SENSITIVITY analysis ,INFECTIOUS disease transmission ,MALARIA ,MOSQUITOES - 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, R 0 , and stability conditions for the model's equilibrium points are derived. Both locally and globally, the sensitivity analysis for the fundamental reproduction number R 0 is satisfied. In MAPLE, the Runge–Kutta fourth-order approach is used to simulate the model. [ABSTRACT FROM AUTHOR]
- Published
- 2024
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