On the mathematical model of Rabies by using the fractional Caputo-Fabrizio derivative

被引：42
|
作者：
Aydogan, Seher Melike [1 ]
Baleanu, Dumitru [2 ,3 ]
Mohammadi, Hakimeh [4 ]
Rezapour, Shahram [5 ,6 ,7 ]
机构：
[1] Istanbul Tech Univ, Dept Math, Oretmenler Cad 14, TR-06530 Istanbul, Turkey
[2] Cankaya Univ, Dept Math, Ankara, Turkey
[3] Inst Space Sci, Bucharest, Romania
[4] Islamic Azad Univ, Dept Math, Miandoab Branch, Miandoab, Iran
[5] Duy Tan Univ, Inst Res & Dev, Da Nang 550000, Vietnam
[6] Duy Tan Univ, Fac Nat Sci, Da Nang 550000, Vietnam
[7] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2020年 / 2020卷 / 01期
关键词：
Adomian decomposition method; Fixed point; Numerical simulation; Rabies model; The Caputo-Fabrizio fractional derivative; ADOMIAN DECOMPOSITION; ECONOMICS; PREVENTION;
D O I：
10.1186/s13662-020-02798-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Using the fractional Caputo-Fabrizio derivative, we investigate a new version of the mathematical model of Rabies disease. Using fixed point results, we prove the existence of a unique solution. We calculate the equilibrium points and check the stability of solutions. We solve the equation by combining the Laplace transform and Adomian decomposition method. In numerical results, we investigate the effect of coefficients on the number of infected groups. We also examine the effect of derivation orders on the behavior of functions and make a comparison between the results of the integer-order derivative and the Caputo and Caputo-Fabrizio fractional-order derivatives.
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收藏
页数：21
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