Global behavior of a multi-group SEIR epidemic model with spatial diffusion in a heterogeneous environment

• Autorzy: Liu Pengyan , Li Hong-Xu

Identyfikatory

DOI

10.34768/amcs-2022-0020

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

global stability; multigroup epidemic model; spatial heterogeneity; spatial diffusion

PL

globalna stabilność; wielogrupowy model epidemii; różnorodność przestrzenna; dyfuzja przestrzenna

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2022
• Tom: Vol. 32, no. 2
• Strony: 271--283
• Opis fizyczny: Bibliogr. 23 poz., wykr.

Twórcy

autor

Liu Pengyan

• College of Science, Tianjin University of Technology and Education, No. 1310 Dagu South Road, Tianjin 300222, PR China

autor

Li Hong-Xu

• College of Mathematics, Sichuan University, No. 24 South Section 1, Yihuan Road, Chengdu, Sichuan 610065, PR China

Bibliografia

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