NDLI: Stabilizing Effect of Cannibalism in a Two Stages Population Model

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Stabilizing Effect of Cannibalism in a Two Stages Population Model

Content Provider	Semantic Scholar
Author	Rault, Jonathan Benoît, Éric Gouzé, Jean-Luc
Copyright Year	2013
Abstract	In this paper we build a prey–predator model with discrete weight structure for the predator. This model will conserve the number of individuals and the biomass and both growth and reproduction of the predator will depend on the food ingested. Moreover the model allows cannibalism which means that the predator can eat the prey but also other predators. We will focus on a simple version with two weight classes or stage (larvae and adults) and present some general mathematical results. In the last part, we will assume that the dynamics of the prey is fast compared to the predator’s one to go further in the results and eventually conclude that under some conditions, cannibalism can stabilize the system: more precisely, an unstable equilibrium without cannibalism will become almost globally stable with some cannibalism. Some numerical simulations are done to illustrate this result.
Starting Page	119
Ending Page	139
Page Count	21
File Format	PDF HTM / HTML
DOI	10.1007/s10441-013-9172-x
PubMed reference number	23381498
Journal	Medline
Volume Number	61
Alternate Webpage(s)	http://hal.archives-ouvertes.fr/docs/00/84/84/43/PDF/actabioRaultBenoitGouze.pdf
Alternate Webpage(s)	http://hal.inria.fr/docs/00/84/84/43/PDF/actabioRaultBenoitGouze.pdf
Alternate Webpage(s)	https://doi.org/10.1007/s10441-013-9172-x
Journal	Acta biotheoretica
Language	English
Access Restriction	Open
Content Type	Text
Resource Type	Article

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