Open AccessDynamical analysis of a fractional order model incorporating fear in the disease transmission rate of COVID-19
Author(s) -
Chandan Maji,
Dhiman Mukherjee
Publication year - 2020
Publication title -
mathematics in applied sciences and engineering
Language(s) - English
Resource type - Journals
ISSN - 2563-1926
DOI - 10.5206/mase/10745
Subject(s) - uniqueness , equilibrium point , stability theory , bounded function , epidemic model , mathematics , hopf bifurcation , stability (learning theory) , covid-19 , transmission (telecommunications) , order (exchange) , control theory (sociology) , disease , bifurcation , mathematical analysis , computer science , control (management) , infectious disease (medical specialty) , economics , medicine , physics , nonlinear system , population , artificial intelligence , environmental health , pathology , telecommunications , quantum mechanics , machine learning , differential equation , finance
This paper deals with a fractional-order three-dimensional compartmental model with fear effect. We have investigated whether fear can play an important role or not to spread and control the infectious diseases like COVID-19, SARS etc. in a bounded region. The basic results on uniqueness, non-negativity and boundedness of the solution of the system are investigated. Stability analysis ensures that the disease-free equilibrium point is locally asymptotically stable if carrying capacity greater than a certain threshold value.We have also derived the conditions for which endemic equilibrium is globally asymptotically stable that means the disease persists in the system. Numerical simulation suggests that the fear factor is an important role which is observed through Hopf-bifurcation.