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Global dynamics for an SVEIR epidemic model with diffusion and nonlinear incidence rate.
- Source :
- Boundary Value Problems; 10/26/2022, Vol. 2022 Issue 1, p1-13, 13p
- Publication Year :
- 2022
-
Abstract
- In this paper, we investigate an SVEIR epidemic model with reaction–diffusion and nonlinear incidence. We establish the well-posedness of the solutions and the basic reproduction number R 0 . Moreover, we show that the disease-free steady state is globally asymptotically stable when R 0 < 1 , whereas the disease will be persistent when R 0 > 1 . Furthermore, using the method of Lyapunov functional, we prove the global stability of the positive steady state for the spatial homogeneous model. [ABSTRACT FROM AUTHOR]
- Subjects :
- BASIC reproduction number
EPIDEMICS
LYAPUNOV functions
Subjects
Details
- Language :
- English
- ISSN :
- 16872762
- Volume :
- 2022
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Boundary Value Problems
- Publication Type :
- Academic Journal
- Accession number :
- 159895818
- Full Text :
- https://doi.org/10.1186/s13661-022-01660-8