Source-sink dynamics on networks: Persistence and extinction

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F23%3A43969125" target="_blank" >RIV/49777513:23520/23:43969125 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S0022247X2300584X" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0022247X2300584X</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jmaa.2023.127581" target="_blank" >10.1016/j.jmaa.2023.127581</a>

Result language
angličtina
Original language name
Source-sink dynamics on networks: Persistence and extinction
Original language description
Dynamics of populations with logistic growth leads to global persistence on arbitrary networks, whereas bistable dynamics is always associated with local extinction. In this paper we study a reaction-diffusion model on networks with a combination of both logistic and bistable reactions. We analyze a system of source-sink dynamics on networks with migration survival probabilities and derive conditions for strong persistence or local extinction. We show how the persistence or extinction of small populations depend on the diffusion strength, migration survival probability, network structure, and the sum and distribution of per capita growth rates.
Czech name
—
Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GA22-18261S" target="_blank" >GA22-18261S: Nonlinear problems with non-standard diffusion</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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