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

Masataka Kuwamura; Hayato Chiba

doi:10.1063/1.3270262

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

Masataka Kuwamura, Hayato Chiba

Division of Applied Mathematics

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

29 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 language	English
Article number	043121
Journal	Chaos
Volume	19
Issue number	4
DOIs	https://doi.org/10.1063/1.3270262
Publication status	Published - 2009

All Science Journal Classification (ASJC) codes

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

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10.1063/1.3270262

Cite this

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title = "Mixed-mode oscillations and chaos in a prey-predator system with dormancy of predators",

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.",

author = "Masataka Kuwamura and Hayato Chiba",

note = "Funding Information: The authors express their sincere gratitude to Dr. Takefumi Nakazawa, Professor Toshiyuki Ogawa, and Professor Kunimochi Sakamoto for their useful advice and comments. Moreover, the authors would like to express their appreciation to the referees for their useful suggestions and comments which have improved the original manuscript. M.K. was supported in part by the Grant-in-Aid for Scientific Research (C) (Grant No. 18540120 JSPS) and H.C. by JSPS Fellowships for Young Scientists. ",

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AU - Kuwamura, Masataka

AU - Chiba, Hayato

N1 - Funding Information: The authors express their sincere gratitude to Dr. Takefumi Nakazawa, Professor Toshiyuki Ogawa, and Professor Kunimochi Sakamoto for their useful advice and comments. Moreover, the authors would like to express their appreciation to the referees for their useful suggestions and comments which have improved the original manuscript. M.K. was supported in part by the Grant-in-Aid for Scientific Research (C) (Grant No. 18540120 JSPS) and H.C. by JSPS Fellowships for Young Scientists.

PY - 2009

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

Abstract

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