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Applicable Analysis
An International Journal
Volume 92, 2013 - Issue 12
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Articles

Bifurcation behaviours in a delayed three-species food-chain model with Holling type-II functional response

Changjin Xu Guizhou Key Laboratory of Economics System Simulation, School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang, 550004, China; School of Mathematical Science and Computing Technology, Central South University, Changsha, Hunan, 410083, ChinaCorrespondence[email protected]
&
Maoxin Liao School of Mathematics and Physics, Nanhua University, Hengyang, 421001, China
Pages 2468-2486 | Received 02 Jun 2012, Accepted 07 Oct 2012, Published online: 14 Dec 2012

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Ulrich Gael Ngouabo, Eugenie Tekougoum Metioguim & Samuel Noubissie. (2020) Stability and electronic circuit implementation of Lotka–Volterra model with delay. International Journal of Electronics Letters 8:3, pages 285-297.
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Changyou Wang, Linrui Li, Qiuyan Zhang & Rui Li. (2019) Dynamical behaviour of a Lotka–Volterra competitive-competitive–cooperative model with feedback controls and time delays. Journal of Biological Dynamics 13:1, pages 43-68.
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Articles from other publishers (13)

PEILUAN LI, RONG GAO, CHANGJIN XU, YUEJING LU & YOULIN SHANG. (2023) DYNAMICS IN A FRACTIONAL ORDER PREDATOR–PREY MODEL INVOLVING MICHAELIS–MENTEN-TYPE FUNCTIONAL RESPONSE AND BOTH UNEQUAL DELAYS. Fractals.
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S. Magudeeswaran, S. Vinoth, K. Sathiyanathan & M. Sivabalan. (2021) Impact of fear on delayed three species food-web model with Holling type-II functional response. International Journal of Biomathematics 15:04.
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Charu Arora, Vivek Kumar, Shashi Kant & Suman Bhowmick. (2020) A Delayed Prey–Predator System with Migration and Disease Infection. International Journal of Applied and Computational Mathematics 6:5.
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Conghua Wang, Haihong Liu & Jin Zhou. (2019) Contribution of time delays to p53 oscillation in DNA damage response. IET Systems Biology 13:4, pages 180-185.
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Changjin Xu, Lilin Chen, Peiluan Li & Ying Guo. (2018) Oscillatory dynamics in a discrete predator-prey model with distributed delays. PLOS ONE 13:12, pages e0208322.
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R Sivasamy, S Vinoth & K Sathiyanathan. (2018) Exploring the dynamics of three species delayed food chain model with harvesting. Journal of Physics: Conference Series 1139, pages 012028.
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Ritwick Banerjee, Pritha Das & Debasis Mukherjee. (2018) Stability and permanence of a discrete-time two-prey one-predator system with Holling Type-III functional response. Chaos, Solitons & Fractals 117, pages 240-248.
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Charu Arora & Vivek Kumar. (2018) Dynamical Behavior of a Stage Structured Prey–Predator Model with Two Delays and Monod–Haldane Functional Response. International Journal of Applied and Computational Mathematics 4:1.
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Kolade M. Owolabi & Edson Pindza. (2018) Mathematical and computational studies of fractional reaction-diffusion system modelling predator-prey interactions. Journal of Numerical Mathematics 0:0.
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Rong Wang & Yunfeng Jia. (2015) Analysis on Bifurcation for a Predator-Prey Model with Beddington-DeAngelis Functional Response and Non-Selective Harvesting. Acta Applicandae Mathematicae 143:1, pages 15-27.
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Xiangmin Ma, Yuanfu Shao, Zhen Wang, Xianjia Fang & Zhenguo Luo. (2015) Analysis of an Impulsive One-Predator and Two-Prey System with Stage-Structure and Generalized Functional Response. Discrete Dynamics in Nature and Society 2015, pages 1-10.
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Shashi Kant & Vivek Kumar. 2015. Mathematics and Computing. Mathematics and Computing 339 348 .
Xuebing Zhang & Hongyong Zhao. (2014) Bifurcation and optimal harvesting of a diffusive predator–prey system with delays and interval biological parameters. Journal of Theoretical Biology 363, pages 390-403.
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