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- W4311148268 abstract "The dynamics of many epidemic compartmental models for infectious diseases that spread in a single host population present a second-order phase transition. This transition occurs as a function of the infectivity parameter, from the absence of infected individuals to an endemic state. Here, we study this transition, from the perspective of dynamical systems, for a discrete-time compartmental epidemic model known as Microscopic Markov Chain Approach, whose applicability for forecasting future scenarios of epidemic spreading has been proved very useful during the COVID-19 pandemic. We show that there is an endemic state which is stable and a global attractor and that its existence is a consequence of a transcritical bifurcation. This mathematical analysis grounds the results of the model in practical applications." @default.
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- W4311148268 date "2023-01-01" @default.
- W4311148268 modified "2023-09-30" @default.
- W4311148268 title "Bifurcation analysis of the Microscopic Markov Chain Approach to contact-based epidemic spreading in networks" @default.
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- W4311148268 doi "https://doi.org/10.1016/j.chaos.2022.112921" @default.
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