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:
Prawa do dysponowania publikacją:
Biblioteka Uniwersytetu Zielonogórskiego
Kolekcje, do których przypisany jest obiekt:
- Repozytorium > Jednostki organizacyjne > Wydział Informatyki, Elektrotechniki i Automatyki
- Repozytorium > Typy utworów > Artykuły
- Repozytorium > Czasopisma naukowe i serie wydawnicze UZ > International Journal of Applied Mathematics and Computer Science (AMCS)
- 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:
2021-09-03
Data dodania obiektu:
2021-04-19
Liczba wyświetleń treści obiektu:
94
Wszystkie dostępne wersje tego obiektu:
https://zbc.uz.zgora.pl/repozytorium/publication/65049
Wyświetl opis w formacie RDF:
Wyświetl opis w formacie OAI-PMH:
-
International Journal of Applied Mathematics and Computer Science (AMCS)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 26 (2016)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 25 (2015)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 24 (2014)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 23 (2013)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 22 (2012)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 21 (2011)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 20 (2010)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 19 (2009)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 18 (2008)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 17 (2007)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 16 (2006)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 15 (2005)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 13 (2003)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 12 (2002)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 11 (2001)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 10 (2000)
-
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
- Solvability and asymptotic behavior of a population problem taking into account random mating and females' pregnancy
- Global asymptotic convergence results for multitype models
- On the dynamics of a chemostat model with delayed nutrient recycling
- Behaviour of solutions to Marchuk's model depending on a time delay
- Optimal harvesting of the nonlinear population dynamics
- Sustainable exploitation of biological populations
- An application of general branching processes to a cell cycle model with two uncoupled sub-cycles and unequal cell division
- Periodicity of the population size of an age-dependent model with a dominant age class by means of impulsive perturbations
- Cellular automata and many-particle systems modeling aggregation behavior among populations
- Spatial heterogeneity and local oscillation phase drifts in individual-based simulations of a prey-predator system
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 10, number 2 (2000)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 10, number 3 (2000)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 10, number 4 (2000)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 10, number 1 (2000)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 9 (1999)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 8 (1998)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 7 (1997)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 6 (1996)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 5 (1995)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 4 (1994)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 3 (1993)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 2 (1992)
-
International Journal of Applied Mathematics and Computer Science (AMCS),volume 1 (1991)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 26 (2016)
| Nazwa wydania | Data |
|---|---|
| Extinction, weak extinction and persistence in a discrete, competitive Lotka-Volterra model | 2021-09-03 |
