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Applicable Analysis
An International Journal
Volume 89, 2010 - Issue 8
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Original Articles

Rich dynamical behaviours for predator–prey model with weak Allee effect

Xiaohong Lai The Academy of Fundamental and Interdisciplinary Science, Harbin Institute of Technology, 3041#, 2 Yi-Kuang Street, Harbin 150080, China
,
Shengqiang Liu The Academy of Fundamental and Interdisciplinary Science, Harbin Institute of Technology, 3041#, 2 Yi-Kuang Street, Harbin 150080, ChinaCorrespondence[email protected]
&
Rongzhen Lin School of Mathematical Sciences, Xiamen University, Xiamen, 361005, China
Pages 1271-1292 | Received 31 Dec 2009, Accepted 22 Mar 2010, Published online: 08 Jul 2010

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Tingting Yu, Yuan Tian, Hongjian Guo & Xinyu Song. (2019) Dynamical analysis of an integrated pest management predator–prey model with weak Allee effect. Journal of Biological Dynamics 13:1, pages 218-244.
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Articles from other publishers (21)

Sanaa Moussa Salman & Elena Shchepakina. (2024) On the slow–fast dynamics of a tri‐trophic food chain model with fear and Allee effects. Mathematical Methods in the Applied Sciences.
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Lu Chen, Feng Yang & Yong-li Song. (2023) Stability and Turing Patterns of a Predator-prey Model with Holling Type II Functional Response and Allee Effect in Predator. Acta Mathematicae Applicatae Sinica, English Series 39:3, pages 675-695.
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Xiaoshuang Li, Danfeng Pang, Philip Wallhead & Richard Garth James Bellerby. (2023) Dynamics of an aquatic diffusive predator–prey model with double Allee effect and -dependent capture rate . Chaos, Solitons & Fractals 169, pages 113234.
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Wenbin Yang & Yujing Gao. (2023) Bifurcation analysis and pattern formation of predator–prey dynamics with Allee effect in predator population. Zeitschrift für angewandte Mathematik und Physik 74:1.
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S. Biswas, D. Pal & G.S. Mahapatra. (2023) Harvesting effect on prey-predator system with strong Allee effect in prey and herd behaviour in both. Filomat 37:5, pages 1561-1579.
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Binfeng Xie & Zhengce Zhang. (2023) Impact of Allee and fear effects in a fractional order prey–predator system incorporating prey refuge. Chaos: An Interdisciplinary Journal of Nonlinear Science 33:1.
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Udai Kumar & Partha Sarathi Mandal. (2022) Role of Allee effect on prey–predator model with component Allee effect for predator reproduction. Mathematics and Computers in Simulation 193, pages 623-665.
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Koushik Garain & Partha Sarathi Mandal. (2021) Bubbling and hydra effect in a population system with Allee effect. Ecological Complexity 47, pages 100939.
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Hafizul Molla, Md. Sabiar Rahman & Sahabuddin Sarwardi. (2020) Dynamical study of a prey–predator model incorporating nonlinear prey refuge and additive Allee effect acting on prey species. Modeling Earth Systems and Environment 7:2, pages 749-765.
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Deeptajyoti Sen, Sergei Petrovskii, S. Ghorai & Malay Banerjee. (2020) Rich Bifurcation Structure of Prey–Predator Model Induced by the Allee Effect in the Growth of Generalist Predator. International Journal of Bifurcation and Chaos 30:06, pages 2050084.
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Andi Maulana, Dipo Aldilay, Suarsih Utama & Egi Safitri. Model of predator-prey for interaction between agrotis segetum and Zea mays. Model of predator-prey for interaction between agrotis segetum and Zea mays.
Manoj Kumar Singh & B. S. Bhadauria. (2017) Qualitative Analysis of an Additional Food Provided Predator–Prey Model in the Presence of Allee Effect. International Journal of Applied and Computational Mathematics 3:S1, pages 1173-1195.
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Xuejuan Lu, Shaokai Wang, Shengqiang Liu & Jia Li. (2017) An SEI infection model incorporating media impact. Mathematical Biosciences and Engineering 14:5/6, pages 1317-1335.
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Erin Bodine & Anne Yust. (2017) Predator-prey Dynamics with Intraspecific Competition and an Allee Effect in the Predator Population. Letters in Biomathematics 4:1.
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Bing Li, Shengqiang Liu, Jing’an Cui & Jia Li. (2016) A Simple Predator-Prey Population Model with Rich Dynamics. Applied Sciences 6:5, pages 151.
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Afef Ben Saad & Olfa Boubaker. (2015) On bifurcation analysis of the predator-prey BB-model with weak allee effect. On bifurcation analysis of the predator-prey BB-model with weak allee effect.
Alan J. Terry. (2015) Predator–prey models with component Allee effect for predator reproduction. Journal of Mathematical Biology 71:6-7, pages 1325-1352.
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Andrei Korobeinikov, Aleksei Archibasov & Vladimir Sobolev. (2015) Order reduction for an RNA virus evolution model. Mathematical Biosciences and Engineering 12:5, pages 1007-1016.
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Swarnali Sharma & G. P. Samanta. (2014) A ratio-dependent predator-prey model with Allee effect and disease in prey. Journal of Applied Mathematics and Computing 47:1-2, pages 345-364.
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Christopher T.H. Baker. (2014) Observations on evolutionary models with (or without) time lag, and on problematical paradigms. Mathematics and Computers in Simulation 96, pages 4-53.
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R.P. Gupta & Peeyush Chandra. (2013) Bifurcation analysis of modified Leslie–Gower predator–prey model with Michaelis–Menten type prey harvesting. Journal of Mathematical Analysis and Applications 398:1, pages 278-295.
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