Effect of awareness and saturated treatment on the transmission of infectious diseases

Abstract

In this article, we study the role of awareness and its impact on the control of infectious diseases. We analyze a susceptible-infected-recovered model with a media awareness compartment. We find the effective reproduction number R0{R}_{0}. We observe that our model exhibits transcritical forward bifurcation at R0=1{R}_{0}=1. We also performed the sensitivity analysis to determine the sensitivity of parameters of the effective reproduction number R0{R}_{0}. In addition, we study the corresponding optimal control problem by considering control in media awareness and treatment. Our studies conclude that we can reduce the rate of spread of infection in the population by increasing the treatment rate along with media awareness.

Keywords

• awareness
• saturated incidence
• saturated treatment
• basic reproduction number
• transcritical bifurcation
• sensitivity analysis
• optimal control
• 34h05
• 49k15
• 92b05
• 92d30