ON THE CODIMENSION-TWO AND -THREE BIFURCATIONS OF A FOOD WEB OF FOUR SPECIES

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Konuralp Journal of Mathematics
Volume:4 Issue:1
ON THE CODIMENSION-TWO AND -THREE BIFURCATIONS OF A FOOD WEB OF FOUR SPECIES

ON THE CODIMENSION-TWO AND -THREE BIFURCATIONS OF A FOOD WEB OF FOUR SPECIES

Authors : Hsiuchuan WEI, Jenntsann LIN, Shinfeng HWANG, Yuhyih CHEN

Pages : 185-192

View : 21 | Download : 18

Publication Date : 2016-04-01

Article Type : Research Paper

Abstract :This paper is concerned with codimension-two and -three bifurca- tions of a food web containing a bottom prey X, two competing predators Y and Z on X, and a super predator W only on Y . Parameter conditions for a part of codimension-two bifurcations and a codimension-three bifurcation are derived. Three-parameter bifurcation diagrams are computed using an adap- tive grid method to locate the bifurcations determined by the eigenvalues of equilibria.
Keywords : food web, bifurcation, numerical computation

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