Comparison of Numerical Methods of the SEIR Epidemic Model of Fractional Order

被引：6

作者：

Zeb, Anwar ^{[1
]}

Khan, Madad ^{[1
]}

Zaman, Gul ^{[2
]}

Momani, Shaher ^{[3
]}

Erturk, Vedat Suat ^{[4
]}

机构：

[1] COMSATS Inst Informat Technol, Dept Math, Islamabad, Pakistan

[2] Univ Malakand, Dept Math, Chakdara Dir Lower Khybe, Pakhtunkhawa, Pakistan

[3] Univ Jordan, Fac Sci, Dept Math, Amman 1194, Jordan

[4] Ondokuz Mayis Univ, Dept Math, Fac Arts & Sci, TR-55139 Samsun, Turkey

来源：

ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES | 2014年 / 69卷 / 1-2期

关键词：

Fractional Differential Equations; Epidemic Model; Iterative Method; Non-Standard Scheme; Differential Transform Method; PARTIAL-DIFFERENTIAL-EQUATIONS; TRANSFORM METHOD;

D O I：

10.5560/ZNA.2013-0073

中图分类号：

O64 [物理化学（理论化学）、化学物理学];

学科分类号：

070304 ; 081704 ;

摘要：

In this paper, we consider the SEW (Susceptible-Exposed-Infected-Recovered) epidemic model by taking into account both standard and bilinear incidence rates of fractional order. First, the non-negative solution of the SEIR model of fractional order is presented. Then, the multi-step generalized differential transform method (MSGDTM) is employed to compute an approximation to the solution of the model of fractional order. Finally, the obtained results are compared with those obtained by the fourth-order Runge-Kutta method and non-standard finite difference (NSFD) method in the integer case.

引用

页码：81 / 89

页数：9

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