- Tytuł:
- Global behavior of a multi-group SEIR epidemic model with spatial diffusion in a heterogeneous environment
- Autorzy:
-
Liu, Pengyan
Li, Hong-Xu - Powiązania:
- https://bibliotekanauki.pl/articles/2134056.pdf
- Data publikacji:
- 2022
- Wydawca:
- Uniwersytet Zielonogórski. Oficyna Wydawnicza
- Tematy:
-
global stability
multigroup epidemic model
spatial heterogeneity
spatial diffusion
globalna stabilność
wielogrupowy model epidemii
różnorodność przestrzenna
dyfuzja przestrzenna - Opis:
- In this paper, we propose a multi-group SEIR epidemic model with spatial diffusion, where the model parameters are spatially heterogeneous. The positivity and ultimate boundedness of the solution, as well as the existence of a global attractor of the associated solution semiflow, are established. The definition of the basic reproduction number is given by utilizing the next generation operator approach, whereby threshold-type results on the global dynamics in terms of this number are established. That is, when the basic reproduction number is less than one, the disease-free steady state is globally asymptotically stable, while if it is greater than one, uniform persistence of this model is proved. Finally, the feasibility of the main theoretical results is shown with the aid of numerical examples for a model with two groups.
- Źródło:
-
International Journal of Applied Mathematics and Computer Science; 2022, 32, 2; 271--283
1641-876X
2083-8492 - Pojawia się w:
- International Journal of Applied Mathematics and Computer Science
- Dostawca treści:
- Biblioteka Nauki
Artykuł