On Predation–Commensalism Processes as Models of Bi-stability and Constructive Role of Systemic Extinctions
| Autor: | Evariste Sanchez-Palencia, Jean-Pierre Françoise |
|---|---|
| Přispěvatelé: | Institut Jean Le Rond d'Alembert (DALEMBERT), Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS), Laboratoire Jacques-Louis Lions (LJLL (UMR_7598)), Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Université de Paris (UP) |
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
0301 basic medicine
Bi-stability Computer science Population 050905 science studies Constructive General Biochemistry Genetics and Molecular Biology Predation 03 medical and health sciences Attractor [MATH]Mathematics [math] education Predator General Environmental Science education.field_of_study Excitability Applied Mathematics “Diversity–stability debate” 05 social sciences General Medicine Commensalism Attraction Philosophy Philosophy of biology 030104 developmental biology Predator–prey systems 1991 MSC: Primary 92D25 92D40 37G15 0509 other social sciences General Agricultural and Biological Sciences Mathematical economics [SDV.EE.IEO]Life Sciences [q-bio]/Ecology environment/Symbiosis |
| Zdroj: | Acta Biotheoretica Acta Biotheoretica, Springer Verlag, In press, ⟨10.1007/s10441-021-09413-3⟩ |
| ISSN: | 0001-5342 1572-8358 |
| Popis: | International audience; 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. |
| Databáze: | OpenAIRE |
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