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.
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The authors are grateful to Philippe Lherminier for several enlightening discussions.
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Sanchez-Palencia, E., Françoise, JP. On Predation–Commensalism Processes as Models of Bi-stability and Constructive Role of Systemic Extinctions. Acta Biotheor 69, 497–510 (2021). https://doi.org/10.1007/s10441-021-09413-3
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DOI: https://doi.org/10.1007/s10441-021-09413-3