Economou, AntonisLópez Herrero, María Jesús2024-03-112024-03-112016Economou, A. y Lopez-Herrero, M.J. (2016) «The deterministic SIS epidemic model in a Markovian random environment», Journal of Mathematical Biology, 73(1), pp. 91-121. doi:10.1007/S00285-015-0943-7.0303-681210.1007/s00285-015-0943-7https://hdl.handle.net/20.500.14352/102106We consider the classical deterministic susceptible-infective-susceptible epidemic model, where the infection and recovery rates depend on a background environmental process that is modeled by a continuous time Markov chain. This framework is able to capture several important characteristics that appear in the evolution of real epidemics in large populations, such as seasonality effects and environmental influences. We propose computational approaches for the determination of various distributions that quantify the evolution of the number of infectives in the population.engjournal article1432-1416https://doi.org/10.1007/s00285-015-0943-7https://link.springer.com/article/10.1007/s00285-015-0943-7restricted access519.22-76616-036.22519.217SIS epidemic modelRandom environmentNumber of infectivesMarkov chainMarkovian switchingColor noiseTelegraph noiseSteady-state distributionEmbedded distributionEnfermedades infecciosasEstadística3202 Epidemiología1208.06 Procesos de Markov2404.01 Bioestadística