Mixed-mode oscillations and chaos in a prey-predator system with dormancy of predators

Masataka Kuwamura, Hayato Chiba

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

It is shown that the dormancy of predators induces mixed-mode oscillations and chaos in the population dynamics of a prey-predator system under certain conditions. The mixed-mode oscillations and chaos are shown to bifurcate from a coexisting equilibrium by means of the theory of fast-slow systems. These results may help to find experimental conditions under which one can demonstrate chaotic population dynamics in a simple phytoplankton-zooplankton (-resting eggs) community in a microcosm with a short duration.

Original languageEnglish
Article number043121
JournalChaos
Volume19
Issue number4
DOIs
Publication statusPublished - Jan 1 2009

Fingerprint

Predator prey systems
Prey-predator System
Dormancy
predators
Population dynamics
Mixed Mode
Predator
Population Dynamics
Chaos theory
chaos
Chaos
zooplankton
Slow-fast System
Oscillation
Zooplankton
oscillations
phytoplankton
Phytoplankton
eggs
Chaotic Dynamics

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)
  • Applied Mathematics

Cite this

Mixed-mode oscillations and chaos in a prey-predator system with dormancy of predators. / Kuwamura, Masataka; Chiba, Hayato.

In: Chaos, Vol. 19, No. 4, 043121, 01.01.2009.

Research output: Contribution to journalArticle

Kuwamura, Masataka ; Chiba, Hayato. / Mixed-mode oscillations and chaos in a prey-predator system with dormancy of predators. In: Chaos. 2009 ; Vol. 19, No. 4.
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