Geodesic
Simple discrete SIS criss-cross model of tuberculosis in heterogeneous population of homeless and non-homeless people
Mathematica Applicanda, Tome 47 (2019) no. 1, pp. 103-115 Cet article a éte moissonné depuis la source Annales Societatis Mathematicae Polonae Series

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In this paper we propose a discrete criss-cross model of tuberculosis (TB) transmission in a heterogeneous population, which consists of two different subpopulations: homeless and non-homeless people. This criss-cross model is based on the simple continuous SIS model with bilinear transmission function and constant inflow into both subpopulations considered previously by us. We make preliminary stability analysis. We show that to control the spread of the infectious disease in a heterogeneous population it is not enough to consider the dynamics of the disease in each subpopulation separately. This result is consistent with the result for continuous model. We also fit the model to epidemic data from Warmian-Masurian Province of Poland.
DOI : 10.14708/ma.v47i1.6496
Classification : Primary: 92B05, Secondary: 34C11, 34D20, 34K60, 92C60
Mots-clés : tuberculosis, discretization, explicit Euler method, discrete dynamical system, local stabilitytuberculosis, discretization, explicit Euler method, discrete dynamical system, local stability 
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Mariusz Bodzioch; Marcin Choiński. Simple discrete SIS criss-cross model of tuberculosis in heterogeneous population of homeless and non-homeless people. Mathematica Applicanda, Tome 47 (2019) no. 1, pp.  103-115. doi: 10.14708/ma.v47i1.6496

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