Dynamical analysis of a fractional order model incorporating fear in the disease transmission rate of COVID-19
Main Article Content
Abstract
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.
Article Details
This work is licensed under a Creative Commons Attribution 4.0 International License.
Authors who publish with this journal retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to use and share the work with an acknowledgement of the work's authorship and initial publication in this journal.