
pmid: 33983511
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.
Bi-stability, 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, Predator–prey systems, Predatory Behavior, Animals, Symbiosis
Bi-stability, 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, Predator–prey systems, Predatory Behavior, Animals, Symbiosis
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