Bifurcation analysis of piecewise smooth ecological models

Dercole, F., Gragnani, A., & Rinaldi, S. (2007). Bifurcation analysis of piecewise smooth ecological models. Theoretical Population Biology 72 (2) 197-213. 10.1016/j.tpb.2007.06.003.

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Abstract

The aim of this paper is the study of the long-term behavior of population communities described by piecewise smooth models (known as Filippov systems). Models of this kind are often used to describe populations with selective switching between alternative habitats or diets or to mimic the evolution of an exploited resource where harvesting is forbidden when the resource is below a prescribed threshold. The analysis is carried out by performing the bifurcation analysis of the model with respect to two parameters. A relatively simple method, called the puzzle method, is proposed to construct the complete bifurcation diagram step-by-step. The method is illustrated through four examples concerning the exploitation and protection of interacting populations.

Item Type:	Article
Uncontrolled Keywords:	Filippov systems; Sliding; Renewable resources management; Prey-predator systems; Bifurcation analysis
Research Programs:	Evolution and Ecology (EEP)
Bibliographic Reference:	Theoretical Population Biology; 72(2):197-213 (September 2007) (Published onlline 12 June 2007)
Depositing User:	IIASA Import
Date Deposited:	15 Jan 2016 08:39
Last Modified:	27 Aug 2021 17:19
URI:	https://pure.iiasa.ac.at/8148

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