Numerical Analysis of Fractional Order Epidemic Model of Childhood Diseases

被引：18

作者：

Haq, Fazal ^{[1
]}

Shahzad, Muhammad ^{[1
]}

Muhammad, Shakoor ^{[2
]}

Wahab, Hafiz Abdul ^{[1
]}

Rahman, Ghaus Ur ^{[3
]}

机构：

[1] Hazara Univ, Dept Math, Manshera, Khyber Pakhtunk, Pakistan

[2] Abdul Wali Khan Univ, Dept Math, Mardan, Pakistan

[3] Univ Swat, Dept Math & Stat, Khyber Pakhtunkhwa, Pakistan

来源：

DISCRETE DYNAMICS IN NATURE AND SOCIETY | 2017年 / 2017卷

关键词：

D O I：

10.1155/2017/4057089

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The fractional order Susceptible-Infected-Recovered (SIR) epidemic model of childhood disease is considered. Laplace-Adomian Decomposition Method is used to compute an approximate solution of the system of nonlinear fractional differential equations. We obtain the solutions of fractional differential equations in the form of infinite series. The series solution of the proposed model converges rapidly to its exact value. The obtained results are compared with the classical case.

引用

页数：7

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