Geodesic
Revisiting the discrete--time SIS criss-cross model of epidemic dynamics for a heterogeneous population
Mathematica Applicanda, Tome 52 (2024) no. 1, pp. 137-148.

Voir la notice de l'article provenant de la source Annales Societatis Mathematicae Polonae Series

In this paper we investigate a discrete-time SIS criss-cross model of epidemic dynamics for a heterogeneous population. In such population we indicate individuals with a low and high susceptibility to infection. The analysed systems derives from its continuous--time counterpart and is based on the explicit Euler method. This paper is a continuation of our research on this model from the previous paper, in which we made its preliminary analysis. Now we focus on invariance of solutions' set and local stability of endemic stationary state. We also make numerical simulation suggesting an appearance of Neimark-Sacker bifurcation. The properties of discrete-time system are different from those of analogical continuous-time one. We state that the proposed system is not appropriate for modelling epidemic dynamics.
DOI : 10.14708/ma.v52i1.7280
Classification : 92B05, 39A30, 39A60, 92C60, 37M20
Mots-clés : epidemiology, discretization, explicit Euler method, discrete dynamical system, local stability 
@article{10_14708_ma_v52i1_7280,
     author = {Marcin Choi\'nski and Mariusz Bodzioch},
     title = {Revisiting the discrete--time {SIS} criss-cross model of epidemic dynamics for a heterogeneous population},
     journal = {Mathematica Applicanda},
     pages = { 137--148},
     publisher = {mathdoc},
     volume = {52},
     number = {1},
     year = {2024},
     doi = {10.14708/ma.v52i1.7280},
     language = {pl},
     url = {http://geodesic.mathdoc.fr/articles/10.14708/ma.v52i1.7280/}
}
TY  - JOUR
AU  - Marcin Choiński
AU  - Mariusz Bodzioch
TI  - Revisiting the discrete--time SIS criss-cross model of epidemic dynamics for a heterogeneous population
JO  - Mathematica Applicanda
PY  - 2024
SP  -  137
EP  - 148
VL  - 52
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.14708/ma.v52i1.7280/
DO  - 10.14708/ma.v52i1.7280
LA  - pl
ID  - 10_14708_ma_v52i1_7280
ER  - 
%0 Journal Article
%A Marcin Choiński
%A Mariusz Bodzioch
%T Revisiting the discrete--time SIS criss-cross model of epidemic dynamics for a heterogeneous population
%J Mathematica Applicanda
%D 2024
%P  137-148
%V 52
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.14708/ma.v52i1.7280/
%R 10.14708/ma.v52i1.7280
%G pl
%F 10_14708_ma_v52i1_7280
Marcin Choiński; Mariusz Bodzioch. Revisiting the discrete--time SIS criss-cross model of epidemic dynamics for a heterogeneous population. Mathematica Applicanda, Tome 52 (2024) no. 1, pp.  137-148. doi : 10.14708/ma.v52i1.7280. http://geodesic.mathdoc.fr/articles/10.14708/ma.v52i1.7280/

Cité par Sources :