Bifurcation Analysis of Filippov's Ecological Models

Dercole F, Gragnani A, & Rinaldi S (2006). Bifurcation Analysis of Filippov's Ecological Models. IIASA Interim Report. IIASA, Laxenburg, Austria: IR-06-067

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Abstract

The aim of this paper is the study of the long-term behavior of population communities described by a class of discontinuous models known as Filippov systems. 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: Monograph (IIASA Interim Report)
Research Programs: Evolution and Ecology (EEP)
Depositing User: IIASA Import
Date Deposited: 15 Jan 2016 08:38
Last Modified: 07 Nov 2016 01:21
URI: http://pure.iiasa.ac.at/8032

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