Global Stability of a Caputo Fractional SIRS Model with General Incidence Rate

被引：21
|
作者：
Ammi, Moulay Rchid Sidi [1 ]
Tahiri, Mostafa [1 ]
Torres, Delfim F. M. [2 ]
机构：
[1] Moulay Ismail Univ, Fac Sci & Tech, Dept Math, BP 509, Errachidia, Morocco
[2] Univ Aveiro, Ctr Res & Dev Math & Applicat CIDMA, Dept Math, P-3810193 Aveiro, Portugal
来源：
MATHEMATICS IN COMPUTER SCIENCE | 2021年 / 15卷 / 01期
关键词：
Epidemiology; Mathematical modeling; Fractional calculus; Caputo derivatives; Equilibrium; Stability; VARIATIONAL ITERATION METHOD; DIFFERENTIAL-EQUATIONS; LYAPUNOV FUNCTIONS; COMPLEX TRANSFORM; SEIR MODEL; VIRUS; TIME; INTERFERENCE;
D O I：
10.1007/s11786-020-00467-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We introduce a fractional order SIRS model with non-linear incidence rate. Existence of a unique positive solution to the model is proved. Stability analysis of the disease free equilibrium and positive fixed points are investigated. Finally, a numerical example is presented.
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页码：91 / 105
页数：15
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