Modeling of media impact with stability analysis and optimal solution of SEIRS epidemic model

Abstract

This study presents a nonlinear SEIR Stype epidemic model with media impact for transmission dynamics of infectious diseases which leads to many behavioral and societal changes related to with the synchronous spread of awareness among masses. We analyzed the model with endemic equilibrium points with basic reproduction which is used to explore the permanency of the solid conditions. Dynamical behavior of mathematical model around biologically possible region provides statistics around the range of infective viruses among population. Mathematical analysis of forward and backward bifurcation is also obtained. The optimality of the media coverage is also presented. Numerical results are performed to explore the effect of media on different dynamical regions.

Subject Classification:

• 34D08
• 34D20
• 34D23

Keywords:

• SEIRS
• Reproduction number
• Media
• Stability analysis
• Bifurcation
• Optimality