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Threshold dynamics and bifurcation analysis of an SIS patch model with delayed media impact.
- Source :
-
Studies in Applied Mathematics . Jul2024, Vol. 153 Issue 1, p1-33. 33p. - Publication Year :
- 2024
-
Abstract
- In this paper, an susceptible–infected–susceptible (SIS) epidemic patch model with media delay is proposed at first. Then the basic reproduction number R0$\mathcal {R}_0$ is defined, and the threshold dynamics are studied. It is shown that the disease‐free equilibrium is globally asymptotically stable if R0<1$\mathcal {R}_0<1$ and the disease is uniformly persistent if R0>1$\mathcal {R}_0>1$. When the dispersal rates of susceptible and infected populations are identical and less than a critical value, it is proved that the limiting model has a unique positive equilibrium. Furthermore, the stability of the positive equilibrium and the existence of local and global Hopf bifurcations are obtained. Finally, some numerical simulations are performed. [ABSTRACT FROM AUTHOR]
- Subjects :
- *BASIC reproduction number
*HOPF bifurcations
Subjects
Details
- Language :
- English
- ISSN :
- 00222526
- Volume :
- 153
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Studies in Applied Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 178355314
- Full Text :
- https://doi.org/10.1111/sapm.12693