{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,30]],"date-time":"2026-06-30T17:44:56Z","timestamp":1782841496960,"version":"3.54.5"},"reference-count":0,"publisher":"ECMS","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2026,6,23]]},"abstract":"<jats:p>In this paper we propose and analyze a model of infection spread in a heterogeneous population.\n\nIn this population we consider two groups differing in a risk of getting infected (a low--risk and a high--risk subpopulation).\n\nOur introduced system includes the saturated incidence transmission function.\n\nThis type of function is met in literature, however, models with such function do not consider actual population heterogeneity and neglect disease--related death.\n\nOur paper aims to fill this gap.\n\nFirstly we indicate stationary states of the formulated model and conditions for their existence.\n\nNext we discuss their local stability conditions.\n\nWe strengthen the obtained conditions considering limitation of a variable reflecting a density of healthy people in the low--risk subpopulation.\n\nTheoretical results are supplemented with numerical simulations concerning the case of tuberculosis in Warmian--Masurian province in Poland.<\/jats:p>","DOI":"10.7148\/2026-0480","type":"proceedings-article","created":{"date-parts":[[2026,6,30]],"date-time":"2026-06-30T16:55:14Z","timestamp":1782838514000},"page":"480-487","source":"Crossref","is-referenced-by-count":0,"title":["A continuous--time sis epidemic model for a heterogeneous population with the saturated incidence transmission function"],"prefix":"10.7148","author":[{"given":"Marcin","family":"Choinski","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"4144","published-online":{"date-parts":[[2026,6,23]]},"event":{"name":"40th ECMS International Conference on Modelling and Simulation"},"container-title":["ECMS 2026 Proceedings edited by Filippo Sanfilippo, Florenc Demrozi, Fabio Sgarbossa, Mohammad Poursina"],"original-title":[],"deposited":{"date-parts":[[2026,6,30]],"date-time":"2026-06-30T16:55:18Z","timestamp":1782838518000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.scs-europe.net\/dlib\/2026\/ecms2026acceptedpapers\/0480_simo_ecms2026_0015.pdf"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,6,23]]},"references-count":0,"URL":"https:\/\/doi.org\/10.7148\/2026-0480","relation":{},"subject":[],"published":{"date-parts":[[2026,6,23]]}}}