Analysis of a discrete mathematical COVID-19 model

Thanin Sitthiwirattham; Anwar Zeb; Saowaluck Chasreechai; Zohreh Eskandari; Mouhcine Tilioua; Salih Djilali

doi:10.1016/j.rinp.2021.104668

Analysis of a discrete mathematical COVID-19 model

Results Phys. 2021 Sep:28:104668. doi: 10.1016/j.rinp.2021.104668. Epub 2021 Aug 12.

Authors

Thanin Sitthiwirattham¹, Anwar Zeb², Saowaluck Chasreechai³, Zohreh Eskandari⁴, Mouhcine Tilioua⁵, Salih Djilali^{6

7}

Affiliations

¹ Mathematics Department, Faculty of Science and Technology, Suan Dusit University, Bangkok, Thailand.
² Department of Mathematics, COMSATS University Islamabad, Abbottabad Campus, Abbottabad, 22060, Khyber Pakhtunkhwa, Pakistan.
³ Department of Mathematics, Faculty of Applied Science, King Mongkut's University of Technology North Bangkok, Bangkok, Thailand.
⁴ Department of Mathematical Sciences, Shahrekord University, Shahrekord, Iran.
⁵ Department of Mathematics, MAMCS Group, FST Errachidia, Moulay Ismail University of Meknes, P.O. Box. 509 Boutalamine, 52000 Errachidia, Morocco.
⁶ Laboratoire d'Analyse Non Linéaire et Mathématiques Appliquées, Université de Tlemcen, Tlemcen, Algeria.
⁷ Department of Mathematics, Faculty of Exact Sciences and Computer Science, Hassiba Benbouali University, Chlef, Algeria.

Abstract

To describe the main propagation of the COVID-19 and has to find the control for the rapid spread of this viral disease in real life, in current manuscript a discrete form of the SEIR model is discussed. The main aim of this is to describe the viral disease in simplest way and the basic properties that are related with the nature of curves for susceptible and infected individuals are discussed here. The elementary numerical examples are given by using the real data of India and Algeria.

Keywords: Bifurcation; Difference equations; Discrete models; Infected curve; Mathematical COVID-19 model; Numerical solution.