Browsing by Author "Kumar, Sarvesh"

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    A mathematical study on the impact of media awareness during the COVID-19 pandemic
    (Department of Mathematics, NITS, 2025) Kumar, Sarvesh
    This study introduces a novel SEQIR mathematical model in response to the global challenges posed by COVID-19, which is recognized as one of the most contagious and potentially fatal diseases worldwide, with reinfection further exacerbating its severity. The model is designed to examine the transmission dynamics of COVID-19, evaluate behavioural changes influenced by media-induced public awareness through social media platforms, and formulate effective control strategies. We deduce the disease-free and conditional multiple endemic equilibria, and determine the basic reproduction number using the next-generation matrix approach. The local stability of these equilibria is investigated with the help of the Routh–Hurwitz criterion. Furthermore, we establish global asymptotic stability by constructing appropriate Lyapunov function. A sensitivity analysis is conducted to identify the key parameters that significantly influence the basic reproduction number and future dynamics. The model further demonstrates the presence of backward bifurcation under specific parametric conditions. Finally, numerical simulations are presented to validate the effectiveness of different intervention strategies aimed at reducing COVID-19 infection and enhancing public health outcomes.