Digital Library of Zielona Góra contains 9 272 digital objects
Object
Title: Global behavior of a multi-group SEIR epidemic model with spatial diffusion in a heterogeneous environment
Contributor:
Witczak, Marcin - ed. ; Stetter, Ralf - ed.
Subtitle:
Group publication title:
Abstract:
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.
Publisher:
Zielona Góra: Uniwersytet Zielonogórski
Resource Identifier:
DOI:
Pages:
Source:
AMCS, volume 32, number 2 (2022) ; click here to follow the link
Language:
License CC BY 4.0:
Rights:
Biblioteka Uniwersytetu Zielonogórskiego
Object collections:
- Repository > Faculties > Faculty of Computer, Electrical and Control Engineering
- Repository > Types of work > Articles
- Repository > Scientific journals and UZ publishing series > International Journal of Applied Mathematics and Computer Science (AMCS) > International Journal of Applied Mathematics and Computer Science (AMCS) (2022)
Last modified:
Jul 23, 2025
In our library since:
Jul 23, 2025
Number of object content hits:
13
All available object's versions:
https://zbc.uz.zgora.pl/repozytorium/publication/101477
Show description in RDF format:
Show description in OAI-PMH format:
-
-
-
-
-
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 32, number 1 (2022)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 32, number 2 (2022)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 32, number 3 (2022)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 32, number 4 (2022)
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
| Edition name | Date |
|---|---|
| Global behavior of a multi-group SEIR epidemic model with spatial diffusion in a heterogeneous environment | Jul 23, 2025 |
Objects Similar
Foryś, Urszula Marciniak-Czochra, Anna Kimmel, Marek - red. Lachowicz, Mirosław - red. Świerniak, Andrzej - red.
Waniewski, Jacek Jędruch, Wojciech Arino, Ovide - ed.
Kaczorek, Tadeusz (1932- ) Kołodziej, Joanna - ed. Pllana, Sabri - ed. Vitabile , Salvatore - ed.
Chenafa, Mohammed Mansouri, Abdellah Bouhenna, Abderrahmane Etien, Eric Belaidi, Abdelkader Denai, Mouloud Azzedine Korbicz, Józef (1951- ) - red. Uciński, Dariusz - red.
Kaczorek, Tadeusz (1932- ) Ruszewski, Andrzej Korbicz, Józef (1951- ) - red. Uciński, Dariusz - red.
Zhang, Qianhong Yang, Lihui Liao, Daixi Korbicz, Józef (1951- ) - red. Uciński, Dariusz - red.
Filipovic, Vojislav Korbicz, Józef (1951- ) - red. Uciński, Dariusz - red.
