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

被引：8

作者：

Alqahtani, A. S. ^{[1
]}

Ramzan, Sehrish ^{[2
]}

Zanib, Syeda Alishwa ^{[3
]}

Nazir, Aqsa ^{[4
]}

Masood, Khalid ^{[5
]}

Malik, M. Y. ^{[1
]}

机构：

[1] King Khalid Univ, Coll Sci, Dept Math, Abha 61413, Saudi Arabia

[2] Govt Coll Univ Faisalabad, Dept Math, Faisalabad 38000, Pakistan

[3] Riphah Int Univ, Dept Math, Main Satyana Rd, Faisalabad 44000, Pakistan

[4] Natl Univ Modern Languages, Dept Comp Sci, Islamabad 44000, Pakistan

[5] Imam Mohammad Ibn Saud Islamic Univ, Coll Sci, Dept Math & Stat, POB 90950, Riyadh 11623, Saudi Arabia

来源：

ALEXANDRIA ENGINEERING JOURNAL | 2024年 / 101卷

关键词：

Mathematical model; Fractional calculus; Malaria; Stability; Reproduction number; COMPUTATION; DEFINITION; DYNAMICS;

D O I：

10.1016/j.aej.2024.05.055

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

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.

引用

页码：193 / 204

页数：12

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