AUTHORS: Fahad Al Basir

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ABSTRACT: An epidemic model with awareness campaign driven by media on the prevalence of infectious diseases is studied considering delay. The aim is to investigate the effect of awareness campaign and delay in disease control. Time delay factor is considered because susceptible individual takes some time to become aware of the disease and take the necessary control methods. The system exhibits two equilibria: the disease-free equilibrium and endemic equilibrium. The disease-free equilibrium is stable if the basic reproduction number is less than unity. The endemic equilibrium exhibits Hopf-bifurcation for a critical value of the delay. Numerical simulations prove the results of analytical analysis and the signif cance of delay in awareness campaigning for preventing and controlling the diseases.

KEYWORDS: Infectious disease, Mathematical model, Awareness program, Basic reproduction number, Delay Differential Equation, Hopf-bifurcation

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