LOCAL STABILITY OF A FRACTIONAL ORDER SIS EPIDEMIC MODEL WITH SPECIFIC NONLINEAR INCIDENCE RATE AND TIME DELAY

被引：1

作者：

Naim, Mouhcine ^{[1
]}

Benrhmach, Ghassane ^{[1
]}

Lahmidi, Fouad ^{[1
]}

Namir, Abdelwahed ^{[2
]}

机构：

[1] Hassan II Univ, Fac Sci Ben Msik, Lab Anal Modeling & Simulat, POB 7955, Casablanca, Morocco

[2] Hassan II Univ, Fac Sci Ben Msik, Lab Informat Technol & Modeling, POB 7955, Casablanca, Morocco

来源：

COMMUNICATIONS IN MATHEMATICAL BIOLOGY AND NEUROSCIENCE | 2021年

关键词：

fractional derivative; SIS epidemic model; time delay; stability; VACCINATION;

D O I：

10.28919/cmbn/4409

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, we study the stability of a fractional order SIS epidemic model with specific functional response and time delay, where the fractional derivative is defined in the Caputo sense. Using the theory of stability of differential equations of delayed fractional order systems, we prove that the disease-free equilibrium is locally asymptotically stable when the basic reproduction number R-0 < 1. Also, we show that if R-0 > 1, the endemic equilibrium is locally asymptotically stable. Numerical simulations are presented to illustrate the theoretical results of this work.

引用

页数：13

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