Numerical Study for Time Delay Multistrain Tuberculosis Model of Fractional Order

被引：5

作者：

Sweilam, Nasser Hassan ^{[1
]}

Al-Mekhlafi, Seham Mahyoub ^{[2
]}

Assiri, Taghreed Abdul Rahman ^{[3
]}

机构：

[1] Cairo Univ, Dept Math, Fac Sci, Giza, Egypt

[2] Sanaa Univ, Dept Math, Fac Educ, Sanaa, Yemen

[3] Umm Alqura Univ, Dept Math, Fac Sci, Mecca, Saudi Arabia

来源：

COMPLEXITY | 2017年

关键词：

FINITE-DIFFERENCE SCHEMES; EQUATIONS;

D O I：

10.1155/2017/1047384

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A novel mathematical fractional model of multistrain tuberculosis with time delay memory is presented. The proposed model is governed by a system of fractional delay differential equations, where the fractional derivative is defined in the sense of the Grunwald-Letinkov definition. Modified parameters are introduced to account for the fractional order. The stability of the equilibrium points is investigated for any time delay. Nonstandard finite deference method is proposed to solve the resulting system of fractional-order delay differential equations. Numerical simulations show that nonstandard finite difference method can be applied to solve such fractional delay differential equations simply and effectively.

引用

页数：14

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