Object
Title: Extinction, weak extinction and persistence in a discrete, competitive Lotka-Volterra model
Subtitle:
Mathematical Aspects of Population Dynamics
Group publication title:
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.
Publisher:
Zielona Góra: Uniwersytet Zielonogórski
Contributor:
Resource Identifier:
Pages:
Source:
AMCS, volume 10, number 1 (2000)
Language:
Rights:
Biblioteka Uniwersytetu Zielonogórskiego
Object collections:
- Digital Library of Zielona Góra > Repository > Faculties > Faculty of Computer, Electrical and Control Engineering
- Digital Library of Zielona Góra > Repository > Types of work > Articles
- Digital Library of Zielona Góra > Repository > Scientific journals issued at the UZ > International Journal of Applied Mathematics and Computer Science (AMCS) > International Journal of Applied Mathematics and Computer Science (AMCS) (2000)
Last modified:
Apr 19, 2021
In our library since:
Apr 19, 2021
Number of object content hits:
1
All available object's versions:
https://zbc.uz.zgora.pl/publication/65049
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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 1 (1991)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 2 (1992)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 3 (1993)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 9 (1999)
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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)
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International Journal of Applied Mathematics and Computer Science (AMCS), Volume 22 (2012)
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International Journal of Applied Mathematics and Computer Science (AMCS), Volume 1 (1991)
| Edition name | Date |
|---|---|
| Extinction, weak extinction and persistence in a discrete, competitive Lotka-Volterra model | Apr 19, 2021 |
