Bifurcations of a predator-prey model with non-monotonic response function

H. W. Broer; Vincent Naudot; Robert Roussarie; Khairul Saleh

doi:10.1016/j.crma.2005.09.033

Bifurcations of a predator-prey model with non-monotonic response function

H. W. Broer^*
, Vincent Naudot
, Robert Roussarie
, Khairul Saleh

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

18 Scopus citations

Abstract

A 2-dimensional predator-prey model with five parameters is investigated, adapted from the Volterra-Lotka system by a non-monotonic response function. A description of the various domains of structural stability and their bifurcations is given. The bifurcation structure is reduced to four organising centres of codimension 3. Research is initiated on time-periodic perturbations by several examples of strange attractors.

Original language	English
Pages (from-to)	601-604
Number of pages	4
Journal	Comptes Rendus Mathematique
Volume	341
Issue number	10
DOIs	https://doi.org/10.1016/j.crma.2005.09.033
State	Published - 15 Nov 2005
Externally published	Yes

ASJC Scopus subject areas

General Mathematics

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

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10.1016/j.crma.2005.09.033

Cite this

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title = "Bifurcations of a predator-prey model with non-monotonic response function",

abstract = "A 2-dimensional predator-prey model with five parameters is investigated, adapted from the Volterra-Lotka system by a non-monotonic response function. A description of the various domains of structural stability and their bifurcations is given. The bifurcation structure is reduced to four organising centres of codimension 3. Research is initiated on time-periodic perturbations by several examples of strange attractors.",

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AU - Roussarie, Robert

AU - Saleh, Khairul

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AB - A 2-dimensional predator-prey model with five parameters is investigated, adapted from the Volterra-Lotka system by a non-monotonic response function. A description of the various domains of structural stability and their bifurcations is given. The bifurcation structure is reduced to four organising centres of codimension 3. Research is initiated on time-periodic perturbations by several examples of strange attractors.

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Bifurcations of a predator-prey model with non-monotonic response function

Abstract

ASJC Scopus subject areas

UN SDGs

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