A Study on Nonlinear Fuzzy Mathematical Modelling

Abstract

The fuzzy mathematical models are based on nonlinear ordinary differential equations. The newlinemodels provide the quantitative and qualitative description for COVID-19. The equilibrium newlinepoints, namely, the COVID-free equilibrium and the endemic equilibrium point have been newlineverified using Routh-Hurwitz criteria to examine the epidemiological relevance. The nextgeneration newlinematrix method was used to obtain the basic reproduction number. The fuzzy basic newlinereproduction number for the group of infected individuals, with different amount of virus loads newlinewas calculated. The sensitivity analysis has been performed to identify the high influential newlineparameters, which have the most impact on basic reproduction number. The role of bifurcation newlinein the parameters are shown in the work. The fuzzy control system is also discussed with respect newlineto various amount of virus loads. Numerical simulations are given to illustrate the mathematical newlineresults graphically using MATLAB software newline