Bifurcation Analysis of Filippov's Ecological Models
Authors: Dercole F, Gragnani A, Rinaldi S
Publication Year: 2006
Reference: IIASA Interim Report IR-06-067
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.
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