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DYNAMICAL ANALYSIS OF A NOVEL DISCRETE FRACTIONAL SITRS MODEL FOR COVID-19

Authors :
Waleed Adel
Zulqurnain Sabir
Amr Elsonbaty
Rajagopalan Ramaswamy
Source :
Fractals. 29
Publication Year :
2021
Publisher :
World Scientific Pub Co Pte Ltd, 2021.

Abstract

In this paper, a discrete fractional Susceptible-Infected-Treatment-Recovered-Susceptible (SITRS) model for simulating the coronavirus (COVID-19) pandemic is presented. The model is a modification to a recent continuous-time SITR model by taking into account the possibility that people who have been infected before can lose their temporary immunity and get reinfected. Moreover, a modification is suggested in the present model to correct the improper assumption that the infection rates of both normal susceptible and old aged/seriously diseased people are equal. This modification complies with experimental data. The equilibrium points for the proposed model are found and results of thorough stability analysis are discussed. A full numerical simulation is carried out and gives a better analysis of the disease spread, influences of model’s parameters, and how to control the virus. Comparisons with clinical data are also provided.

Details

ISSN :
17936543 and 0218348X
Volume :
29
Database :
OpenAIRE
Journal :
Fractals
Accession number :
edsair.doi...........d120b6d10fbb79d23923ffd7a4012024
Full Text :
https://doi.org/10.1142/s0218348x21400351