On Predation–Commensalism Processes as Models of Bi-stability and Constructive Role of Systemic Extinctions
Saved in:
| Title: | On Predation–Commensalism Processes as Models of Bi-stability and Constructive Role of Systemic Extinctions |
|---|---|
| Authors: | Sanchez-Palencia, E., Françoise, J.-P. |
| Contributors: | FRANCOISE, Jean-Pierre, Sorbonne Université, Gestionnaire HAL 3 |
| Source: | Acta Biotheoretica. 69:497-510 |
| Publisher Information: | Springer Science and Business Media LLC, 2021. |
| Publication Year: | 2021 |
| Subject Terms: | 0301 basic medicine, Bi-stability, 0303 health sciences, Excitability, Food Chain, 'Diversity–stability debate', Population Dynamics, [SDV.EE.IEO] Life Sciences [q-bio]/Ecology, environment/Symbiosis, [MATH] Mathematics [math], Biodiversity, Models, Theoretical, Models, Biological, 03 medical and health sciences, Predator–prey systems, Predatory Behavior, Animals, Symbiosis |
| Description: | We propose a mathematical model for a class of predator-prey systems more complex than the usual one, involving a commensalism effect consisting in an influence of the predator on the sustainability of the prey. This effect induces interesting new features, including bi-stability (two attractors with disjoint attraction basins). The question of the possibility of reaching a certain attractor starting from initial conditions with a small population of predators, which presents an interest from the vewpoint of the onset of the predator in evolution, is addressed. We propose two possibilities: the classical one involving adapted conditions in the far past and a new (up to our knowledge) one using biodiversity, specifically the presence of another predator which operates as a starter, being displaced in the sequel. |
| Document Type: | Article |
| File Description: | application/pdf |
| Language: | English |
| ISSN: | 1572-8358 0001-5342 |
| DOI: | 10.1007/s10441-021-09413-3 |
| Access URL: | https://hal.sorbonne-universite.fr/hal-03244151/file/Sanchez-Palencia%20et%20Fran%C3%A7oise%20-%202021%20-%20On%20Predation%E2%80%93Commensalism%20Processes%20as%20Models%20of%20B.pdf https://pubmed.ncbi.nlm.nih.gov/33983511 https://hal.science/hal-03636121v1 https://doi.org/10.1007/s10441-021-09413-3 https://europepmc.org/article/MED/33983511 https://link.springer.com/article/10.1007/s10441-021-09413-3 https://link.springer.com/content/pdf/10.1007/s10441-021-09413-3.pdf |
| Rights: | Springer TDM |
| Accession Number: | edsair.doi.dedup.....2a3c7bda357f43b00c97a4891a26dc52 |
| Database: | OpenAIRE |
Full Text Finder 
Nájsť tento článok vo Web of Science | Abstract: | We propose a mathematical model for a class of predator-prey systems more complex than the usual one, involving a commensalism effect consisting in an influence of the predator on the sustainability of the prey. This effect induces interesting new features, including bi-stability (two attractors with disjoint attraction basins). The question of the possibility of reaching a certain attractor starting from initial conditions with a small population of predators, which presents an interest from the vewpoint of the onset of the predator in evolution, is addressed. We propose two possibilities: the classical one involving adapted conditions in the far past and a new (up to our knowledge) one using biodiversity, specifically the presence of another predator which operates as a starter, being displaced in the sequel. |
|---|---|
| ISSN: | 15728358 00015342 |
| DOI: | 10.1007/s10441-021-09413-3 |