Stability of equilibria of a predator-prey model of phenotype evolution
We consider a selection mutation predator-prey model for the distribution of individuals with respect to an evolutionary trait. Local stability of the equilibria of this model is studied using thelinearized stability principle and taking advantage of the(assumed) asymptotic stability of the equilibr...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2009-08-01
|
| Series: | Mathematical Biosciences and Engineering |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2009.6.701 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832590166264381440 |
|---|---|
| author | Sílvia Cuadrado |
| author_facet | Sílvia Cuadrado |
| author_sort | Sílvia Cuadrado |
| collection | DOAJ |
| description | We consider a selection mutation predator-prey model for the distribution of individuals with respect to an evolutionary trait. Local stability of the equilibria of this model is studied using thelinearized stability principle and taking advantage of the(assumed) asymptotic stability of the equilibria of the residentpopulation adopting an evolutionarily stable strategy. |
| format | Article |
| id | doaj-art-13116567c1274d2b88b239b350b3b4f0 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2009-08-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-13116567c1274d2b88b239b350b3b4f02025-01-24T02:00:01ZengAIMS PressMathematical Biosciences and Engineering1551-00182009-08-016470171810.3934/mbe.2009.6.701Stability of equilibria of a predator-prey model of phenotype evolutionSílvia Cuadrado0Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193 Bellaterra, BarcelonaWe consider a selection mutation predator-prey model for the distribution of individuals with respect to an evolutionary trait. Local stability of the equilibria of this model is studied using thelinearized stability principle and taking advantage of the(assumed) asymptotic stability of the equilibria of the residentpopulation adopting an evolutionarily stable strategy.https://www.aimspress.com/article/doi/10.3934/mbe.2009.6.701weinstein aronszajn determinantasymptotic stabilityevolutionarily stable strategy. |
| spellingShingle | Sílvia Cuadrado Stability of equilibria of a predator-prey model of phenotype evolution Mathematical Biosciences and Engineering weinstein aronszajn determinant asymptotic stability evolutionarily stable strategy. |
| title | Stability of equilibria of a predator-prey model of phenotype evolution |
| title_full | Stability of equilibria of a predator-prey model of phenotype evolution |
| title_fullStr | Stability of equilibria of a predator-prey model of phenotype evolution |
| title_full_unstemmed | Stability of equilibria of a predator-prey model of phenotype evolution |
| title_short | Stability of equilibria of a predator-prey model of phenotype evolution |
| title_sort | stability of equilibria of a predator prey model of phenotype evolution |
| topic | weinstein aronszajn determinant asymptotic stability evolutionarily stable strategy. |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2009.6.701 |
| work_keys_str_mv | AT silviacuadrado stabilityofequilibriaofapredatorpreymodelofphenotypeevolution |