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Periodic Solutions in n-species Ratio-depedent Food Chain Model with Time Delays

Rui Xu|Qiming Liu
경북대학교 자연과학대학 수학과|2004.06|Kyungpook Mathematical Journal|제44권 제2호|pp. 277-291

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주제분류수학

초록

Abstract

A delayed periodic n-species ratio-dependent food chain model is investigated.By using Gaines and Mawhin’s continuation theorem of coincidence degree theory, a set of easily veriable sufficient conditions are derived for the existence of positive periodic solutions to the model.

참고문헌 (21)

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관련 논문AI추천

Periodic Solutions of a Delayed Population Model with One Predator and Two PreysF. A. Davidson, M. A. J. Chaplain, Rui Xu경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2004 · 제44권 제4호Periodic solutions of a discrete time non-autonomous ratio-dependent predator-prey system with controlZhijun Zeng대한수학회 · 대한수학회논문집2007 · 제22권 제3호The existence of periodic solution of a two-patches predator-prey Dispersion Delay Models with Functional ResponseZhengqiu Zhang, Zhicheng Wang대한수학회 · 대한수학회지2003 · 제40권 제5호A Holling type II food chain system with biological and chemical controlsHunki Baek대한수학회 · 대한수학회논문집2009 · 제24권 제2호Stability for a Holling Type IV Food Chain System With Impulsive PerturbationsHunki Baek, Younghae Do경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2008 · 제48권 제3호Positive coexistence for a simple food chain model with ratio-dependent functional response and cross-diffusion고원률, 안인경대한수학회 · 대한수학회논문집2006 · 제21권 제4호

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