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Mathematical Modelling and Analysis Volume 16, 2011 - Issue 3
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Articles

Stationary Patterns of a Ratio-Dependent Predator-Prey System with Cross-Diffusion

Yu-Xia Wang School of Mathematics and Statistics, Lanzhou University, Lanzhou, Gansu, 730000, China
,
Wan-Tong Li School of Mathematics and Statistics, Lanzhou University, Lanzhou, Gansu, 730000, ChinaCorrespondence[email protected]
&
Hong-Bo Shi School of Mathematics and Statistics, Lanzhou University, Lanzhou, Gansu, 730000, China
Pages 461-474 | Received 10 Nov 2009, Accepted 02 Jul 2011, Published online: 24 Aug 2011

Citations (9)

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Yu-Xia Wang & Wan-Tong Li. (2013) Spatial patterns of the Holling–Tanner predator–prey model with nonlinear diffusion effects. Applicable Analysis 92:10, pages 2168-2181.
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Articles from other publishers (8)

Nitu Kumari & Nishith Mohan. (2021) Coexistence States of a Ratio-Dependent Predator-Prey Model with Nonlinear Diffusion. Acta Applicandae Mathematicae 176:1.
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Rong Zeng. (2018) Qualitative analysis of a strongly coupled predator–prey system with modified Holling–Tanner functional response. Boundary Value Problems 2018:1.
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Jia-Fang Zhang, Shaoli Wang & Xiangjun Kong. (2018) Effects of toxin delay on the dynamics of a phytoplankton–zooplankton model. Physica A: Statistical Mechanics and its Applications 505, pages 1150-1162.
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Guangping Hu, Xiaoling Li & Shiping Lu. (2015) Qualitative Analysis of a Diffusive Three-Species Model with the Holling?Tanner Scheme. Bulletin of the Malaysian Mathematical Sciences Society 40:1, pages 35-50.
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Zhi Ling, Lai Zhang & Zhigui Lin. (2014) Turing pattern formation in a predator–prey system with cross diffusion. Applied Mathematical Modelling 38:21-22, pages 5022-5032.
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Jia-Fang Zhang & Xiang-Ping Yan. (2014) Effects of Delay and Diffusion on the Dynamics of a Leslie–Gower Type Predator–Prey Model. International Journal of Bifurcation and Chaos 24:04, pages 1450043.
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Yu-Xia Wang & Wan-Tong Li. (2013) Effects of cross-diffusion and heterogeneous environment on positive steady states of a prey–predator system. Nonlinear Analysis: Real World Applications 14:2, pages 1235-1246.
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Yu-Xia Wang & Wan-Tong Li. (2011) Fish?hook shaped global bifurcation branch of a spatially heterogeneous cooperative system with cross-diffusion. Journal of Differential Equations 251:6, pages 1670-1695.
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