On Fractional Order Dengue Epidemic Model

被引：54
作者：
Al-Sulami, Hamed [1 ]
El-Shahed, Moustafa [1 ,2 ]
Nieto, Juan J. [1 ,3 ]
Shammakh, Wafa [1 ]
机构：
[1] King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah 21589, Saudi Arabia
[2] Qassim Univ, Fac Art & Sci, Dept Math, Unaizah Qassim 51911, Saudi Arabia
[3] Univ Santiago de Compostela, Fac Matemat, Dept Anal Mateat, Santiago De Compostela 15782, Spain
来源：
MATHEMATICAL PROBLEMS IN ENGINEERING | 2014年 / 2014卷
关键词：
NUMERICAL-SOLUTION;
D O I：
10.1155/2014/456537
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
This paper deals with the fractional order dengue epidemic model. The stability of disease-free and positive fixed points is studied. Adams-Bashforth-Moulton algorithm has been used to solve and simulate the system of differential equations.
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页数：6
相关论文
共 22 条
[1]   Equilibrium points, stability and numerical solutions of fractional-order predator-prey and rabies models [J].
Ahmed, E. ;
El-Sayed, A. M. A. ;
El-Saka, H. A. A. .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 325 (01) :542-553
[2]   On some Routh-Hurwitz conditions for fractional order differential equations and their applications in Lorenz, Rossler, Chua and Chen systems [J].
Ahmed, E. ;
El-Sayed, A. M. A. ;
El-Saka, Hala A. A. .
PHYSICS LETTERS A, 2006, 358 (01) :1-4
[3]   Numerical solution for the fractional replicator equation [J].
Ahmed, E ;
El-Sayed, AMA ;
El-Mesiry, AEM ;
El-Saka, HAA .
INTERNATIONAL JOURNAL OF MODERN PHYSICS C, 2005, 16 (07) :1017-1025
[4]  
Anderson R., 1995, INFECTIOUS DISEASE O
[5]  
[Anonymous], 2009, Dengue: Guidelines forDiagnosis,Treatment, Prevention and Control
[6]  
[Anonymous], 1999, FRACTIONAL DIFFERENT
[7]  
Demirci E, 2011, HACET J MATH STAT, V40, P287
[8]   Analysis of fractional differential equations [J].
Diethelm, K ;
Ford, NJ .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2002, 265 (02) :229-248
[9]   A predictor-corrector approach for the numerical solution of fractional differential equations [J].
Diethelm, K ;
Ford, NJ ;
Freed, AD .
NONLINEAR DYNAMICS, 2002, 29 (1-4) :3-22
[10]  
Diethelm K., 1997, ELECTRON T NUMER ANA, V5, P1
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