Analysis of the fractional polio model with the Mittag-Leffler kernels

被引：8

作者：

Iqbal, Muhammad Sajid ^{[1
]}

Ahmed, Nauman ^{[1
]}

Akgul, Ali ^{[2
,8
]}

Satti, Ammad Mehmood ^{[1
]}

Iqbal, Zafar ^{[1
,5
]}

Raza, Ali ^{[3
]}

Rafiq, Muhammad ^{[4
]}

Anjum, Rukhshanda ^{[1
]}

Zakarya, Mohammed ^{[6
]}

Park, Choonkil ^{[7
]}

机构：

[1] Univ Lahore, Dept Math & Stat, Lahore, Pakistan

[2] Siirt Univ, Art & Sci Fac, Dept Math, TR-56100 Siirt, Turkiye

[3] Natl Coll Business Adm & Econ, Fac Comp, Lahore, Pakistan

[4] Univ Cent Punjab, Fac Sci, Dept Math, Lahore, Pakistan

[5] Univ Management & Technol, Dept Math, Lahore, Pakistan

[6] King Khalid Univ, Coll Sci, Dept Math, POB 9004, Abha 61413, Saudi Arabia

[7] Hanyang Univ, Res Institite Nat Sci, Seoul 04763, South Korea

[8] Near East Univ, Math Res Ctr, Dept Math, Near East Blvd,Mersin 10, TR-99138 Nicosia, Turkiye

来源：

ALEXANDRIA ENGINEERING JOURNAL | 2023年 / 64卷

关键词：

Polio; Mathematical model; Fractional calculus; Optimal existence; Numerical simulations;

D O I：

10.1016/j.aej.2022.08.025

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This article investigates the transmission of polio-virus disease in the human population. The classical model is considered for studying fatal disease. First of all, the model is converted into the fractal fractional epidemic model. Then, the existence of the solution for the said model is ensured with the help of the fixed point theory. Points of equilibria for the model are worked out. The basic reproduction number is described and its role in the disease communication and sta-bility of the model is examined by some standard results. Simulated graphs are also plotted to sup-port the pre-results and claims. Lastly, the findings of the study are presented.(c) 2022 THE AUTHORS. Published by Elsevier BV on behalf of Faculty of Engineering, Alexandria University. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/ licenses/by-nc-nd/4.0/).

引用

页码：957 / 967

页数：11

共 38 条

[1]

Agarwal M, 2011, APPL APPL MATH, V6, P552

[2]

ALEXANDER ER, 1984, JAMA-J AM MED ASSOC, V251, P2710

[3] Analyzing transient response of the parallel RCL circuit by using the Caputo-Fabrizio fractional derivative [J].