Hsiu-chuan WEI, Jenn-tsann LIN, Shin-feng HWANG, Yuh-yih CHEN

7399

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

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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Konuralp Journal of Mathematics-Cover
  • Yayın Aralığı: Yılda 2 Sayı
  • Başlangıç: 2013
  • Yayıncı: Mehmet Zeki SARIKAYA
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