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The SIS and SIR stochastic epidemic models: A maximum entropy approach Artalejo Rodríguez, Jesús Manuel López Herrero, María Jesús 517.982.4 Death Number Distributions Minimization Análisis funcional y teoría de operadores We analyze the dynamics of infectious disease spread by formulating the maximum entropy (ME) solutions of the susceptible-infected-susceptible (SIS) and the susceptible-infected-removed (SIR) stochastic models. Several scenarios providing helpful insight into the use of the ME formalism for epidemic modeling are identified. The ME results are illustrated with respect to several descriptors, including the number of recovered individuals and the time to extinction. An application to infectious data from outbreaks of extended spectrum beta lactamase (ESBL) in a hospital is also considered. Government of Spain (Department of Science and Innovation) Depto. de Estadística e Investigación Operativa Fac. de Ciencias Matemáticas TRUE pub 2023-06-20T00:10:22Z 2023-06-20T00:10:22Z 2011-04-05 journal article https://hdl.handle.net/20.500.14352/42125 0040-5809 10.1016/j.tpb.2011.09.005 eng MTM 2011-23864 restricted access application/pdf Academic Press Elsevier Science