A New Perspective on Determining Disease Invasion and Population Persistence in Heterogeneous Environments
Fuente:
arXiv
Salvato in:
| Autori principali: | , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2024
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866913543048134656 |
|---|---|
| author | Yazdanbakhsh, Poroshat Anderson, Mark Shuai, Zhisheng |
| author_facet | Yazdanbakhsh, Poroshat Anderson, Mark Shuai, Zhisheng |
| contents | We introduce a new quantity known as the network heterogeneity index, denoted by $\mathcal{H}$, which facilitates the investigation of disease propagation and population persistence in heterogeneous environments. Our mathematical analysis reveals that this index embodies the structure of such networks, the disease or population dynamics of patches, and the dispersal between patches. We present multiple representations of the network heterogeneity index and demonstrate that $\mathcal{H}\geq 0$. Moreover, we explore the applications of $\mathcal{H}$ in epidemiology and ecology across various heterogeneous environments, highlighting its effectiveness in determining disease invasibility and population persistence. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_09154 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A New Perspective on Determining Disease Invasion and Population Persistence in Heterogeneous Environments Yazdanbakhsh, Poroshat Anderson, Mark Shuai, Zhisheng Populations and Evolution Dynamical Systems We introduce a new quantity known as the network heterogeneity index, denoted by $\mathcal{H}$, which facilitates the investigation of disease propagation and population persistence in heterogeneous environments. Our mathematical analysis reveals that this index embodies the structure of such networks, the disease or population dynamics of patches, and the dispersal between patches. We present multiple representations of the network heterogeneity index and demonstrate that $\mathcal{H}\geq 0$. Moreover, we explore the applications of $\mathcal{H}$ in epidemiology and ecology across various heterogeneous environments, highlighting its effectiveness in determining disease invasibility and population persistence. |
| title | A New Perspective on Determining Disease Invasion and Population Persistence in Heterogeneous Environments |
| topic | Populations and Evolution Dynamical Systems |
| url | https://arxiv.org/abs/2410.09154 |