Zielonogórska Biblioteka Cyfrowa udostępnia 65 553 obiektów cyfrowych
Obiekt
Tytuł: 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) ; kliknij tutaj, żeby przejść
Language:
License CC BY 4.0:
Rights:
Biblioteka Uniwersytetu Zielonogórskiego
Kolekcje, do których przypisany jest obiekt:
- Digital Library of Zielona Góra > Repository > Faculties > Faculty of Computer, Electrical and Control Engineering
- Digital Library of Zielona Góra > Repository > Types of work > Articles
- Digital Library of Zielona Góra > 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)
Data ostatniej modyfikacji:
Jul 23, 2025
Data dodania obiektu:
Jul 23, 2025
Liczba wyświetleń treści obiektu:
25
Wszystkie dostępne wersje tego obiektu:
https://www.zbc.uz.zgora.pl/publication/101477
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 32, number 1 (2022)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 32, number 2 (2022)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 32, number 3 (2022)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 32, number 4 (2022)
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| Nazwa wydania | Data |
|---|---|
| Global behavior of a multi-group SEIR epidemic model with spatial diffusion in a heterogeneous environment | Jul 23, 2025 |
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