Analysis of a fractional SIQR model with Caputo-Fabrizio derivative

Author(s):

Mohammadhossein Akrami *

Message:
Article Type:
Research/Original Article (بدون رتبه معتبر)
Abstract:

‎The main purpose of this paper is to develop and analyse a fractional SIQR epidemic model with Caputo-Fabrizio derivative‎. ‎It is shown that the model to have a disease-free and an endemic equilibrium point‎. ‎Some conditions are derived for the‎ existence and stability of these equilibrium points‎. ‎Finally‎, ‎three-step fractional Adams-Bashforth method applied to the model and some numerical simulations are illustrate the results‎.

Keywords:

Fractional Derivative‎ , SIQR Model‎ , Adams-Bashforth Method , Forward Bifurcation

Language:
English
Published:
Caspian Journal of Mathematical Sciences, Volume:12 Issue: 2, Summer Autumn 2023
Pages:
397 to 413
https://www.magiran.com/p2723846  
سامانه نویسندگان
  • Akrami، Mohammad Hossein
    Author
    Akrami, Mohammad Hossein
    Associate Professor Department of Mathematical sciences, University of Yazd, یزد, Iran
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