Obiekt
Tytuł: Extinction, weak extinction and persistence in a discrete, competitive Lotka-Volterra model
Współtwórca:
Podtytuł:
Mathematical Aspects of Population Dynamics
Tytuł publikacji grupowej:
Abstract:
In a discrete Lotka-Volerra model, the set of points where a population remains unchanged over one generation is a hyperplane. Examining the relative position of these hyperplanes, we give sufficient conditions for a group of species to drive another species to extinction. Further using these hyperplanes, we find necessary and sufficient conditions where every [omega]-limit point of the model has at least one species missing. ; Building on the work of Hofbauer et al. (1987) involving permanence, we obtain a sufficient condition for one or more species to persist. Additionally, in the presence of extinction occurring, we take these persistence results and the previously mentioned extinction results and extend them to subsystems of the full model. Finally, we combine the ideas of persistence and weak extinction to obtain another extinction result.
Wydawca:
Zielona Góra: Uniwersytet Zielonogórski
Identyfikator zasobu:
Strony:
Źródło:
AMCS, volume 10, number 1 (2000) ; kliknij tutaj, żeby przejść
Jezyk:
Licencja CC BY 4.0:
Prawa do dysponowania publikacją:
Biblioteka Uniwersytetu Zielonogórskiego
Kolekcje, do których przypisany jest obiekt:
- Zielonogórska Biblioteka Cyfrowa > Repozytorium > Jednostki organizacyjne > Wydział Informatyki, Elektrotechniki i Automatyki
- Zielonogórska Biblioteka Cyfrowa > Repozytorium > Typy utworów > Artykuły
- Zielonogórska Biblioteka Cyfrowa > Repozytorium > Czasopisma naukowe i serie wydawnicze UZ > International Journal of Applied Mathematics and Computer Science (AMCS) > International Journal of Applied Mathematics and Computer Science (AMCS) (2000)
Data ostatniej modyfikacji:
2025-07-14
Data dodania obiektu:
2021-04-19
Liczba wyświetleń treści obiektu:
143
Wszystkie dostępne wersje tego obiektu:
https://zbc.uz.zgora.pl/publication/65049
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Wyświetl opis w formacie OAI-PMH:
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International Journal of Applied Mathematics and Computer Science (AMCS)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 10 (2000)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 10, number 1 (2000)
- Extinction, weak extinction and persistence in a discrete, competitive Lotka-Volterra model
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| Nazwa wydania | Data |
|---|---|
| Extinction, weak extinction and persistence in a discrete, competitive Lotka-Volterra model | 2025-07-14 |
