Dynamical analysis of a degenerate and time delayed virus infection model with spatial heterogeneity
Abstract This paper is concerned with a degenerate and time delayed virus infection model with spatial heterogeneity and general incidence. The well‐posedness of the system, including global existence, uniqueness, and ultimately boundedness of the solutions, as well as the existence of a global attractor, is discussed. The basic reproduction number R0$\mathcal {R}_0$ is defined and a characterization of R0$\mathcal {R}_0$ is presented. Without the compactness of the solution semiflow, we establish the global dynamics of the system based on R0$\mathcal {R}_0$. In addition, when the system is spatially homogeneous, the unique infection steady state is globally asymptotically stable. Simulations are presented to illustrate our theoretical results..
| Medienart: |
E-Artikel |
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| Erscheinungsjahr: |
2024 |
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| Erschienen: |
2024 |
| Enthalten in: |
Zur Gesamtaufnahme - volume:152 |
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| Enthalten in: |
Studies in Applied Mathematics - 152(2024), 1, Seite 279-306 |
| Beteiligte Personen: |
Yang, Yu [VerfasserIn] |
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| Anmerkungen: |
© 2024 Wiley Periodicals LLC. |
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| Umfang: |
28 |
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| doi: |
10.1111/sapm.12643 |
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| funding: |
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| Förderinstitution / Projekttitel: |
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| PPN (Katalog-ID): |
WLY018216064 |
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| 520 | |a Abstract This paper is concerned with a degenerate and time delayed virus infection model with spatial heterogeneity and general incidence. The well‐posedness of the system, including global existence, uniqueness, and ultimately boundedness of the solutions, as well as the existence of a global attractor, is discussed. The basic reproduction number R0$\mathcal {R}_0$ is defined and a characterization of R0$\mathcal {R}_0$ is presented. Without the compactness of the solution semiflow, we establish the global dynamics of the system based on R0$\mathcal {R}_0$. In addition, when the system is spatially homogeneous, the unique infection steady state is globally asymptotically stable. Simulations are presented to illustrate our theoretical results. | ||
| 700 | 1 | |a Chen, Jing |4 aut | |
| 700 | 1 | |a Zou, Lan |4 aut | |
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