Construction and numerical analysis of a fuzzy non-standard computational method for the solution of an SEIQR model of COVID-19 dynamics

Autor: Fazal Dayan, Nauman Ahmed, Muhammad Rafiq, Ali Akgül, Ali Raza, Muhammad Ozair Ahmad, Fahd Jarad
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: AIMS Mathematics, Vol 7, Iss 5, Pp 8449-8470 (2022)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.2022471?viewType=HTML
Popis: This current work presents an SEIQR model with fuzzy parameters. The use of fuzzy theory helps us to solve the problems of quantifying uncertainty in the mathematical modeling of diseases. The fuzzy reproduction number and fuzzy equilibrium points have been derived focusing on a model in a specific group of people having a triangular membership function. Moreover, a fuzzy non-standard finite difference (FNSFD) method for the model is developed. The stability of the proposed method is discussed in a fuzzy sense. A numerical verification for the proposed model is presented. The developed FNSFD scheme is a reliable method and preserves all the essential features of a continuous dynamical system.
Databáze: Directory of Open Access Journals