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Applicable Analysis
An International Journal
Volume 101, 2022 - Issue 1
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Asymptotic dynamics and spatial patterns of a ratio-dependent predator–prey system with prey-taxis

Yongli Caia School of Mathematical Science, Huaiyin Normal University, Huaian, People's Republic of ChinaView further author information
,
Qian Caob Department of Mathematics and Information Science, Chang'an University, Xi'an, People's Republic of ChinaView further author information
&
Zhi-An Wangc Department of Applied Mathematics, Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong KongCorrespondence[email protected]
View further author information
Pages 81-99 | Received 09 Aug 2019, Accepted 06 Feb 2020, Published online: 14 Feb 2020

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Changwook Yoon. (2022) Global dynamics of a Lotka-Volterra type prey–predator model with diffusion and predator-taxis. Applicable Analysis 101:16, pages 5557-5570.
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Articles from other publishers (21)

Zhuzhen Liao, Cui Song & Zhi-Cheng Wang. (2024) Dynamic Analysis of a Ratio-Dependent Food Chain Model with Prey-Taxis. International Journal of Bifurcation and Chaos 34:03.
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Jiawei Chu & Shanbing Li. (2024) Global dynamics of an indirect prey-taxis system with an anti-predation mechanism. Journal of Differential Equations 385, pages 424-462.
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Chunlai Mu, Weirun Tao & Zhi-An Wang. (2024) Global dynamics and spatiotemporal heterogeneity of a preytaxis model with prey-induced acceleration. European Journal of Applied Mathematics, pages 1-33.
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Shanbing Li. (2023) Positive Steady-State Solutions for a Class of Prey-Predator Systems with Indirect Prey-Taxis. SIAM Journal on Mathematical Analysis 55:6, pages 6342-6374.
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Shanbing Li & Mingxin Wang. (2023) Global bifurcation of coexistence states for a prey-taxis system with homogeneous Dirichlet boundary conditions. Zeitschrift für angewandte Mathematik und Physik 74:5.
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Fethi Souna, Pankaj Kumar Tiwari, Mustapha Belabbas & Youssaf Menacer. (2023) A predator–prey system with prey social behavior and generalized Holling III functional response: Role of predator‐taxis on spatial patterns. Mathematical Methods in the Applied Sciences 46:13, pages 13991-14006.
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Hai-Yang Jin, Zhi-An Wang & Leyun Wu. (2023) Global Solvability and Stability of an Alarm-Taxis System. SIAM Journal on Mathematical Analysis 55:4, pages 2838-2876.
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WENCHANG CHEN, HENGGUO YU, CHUANJUN DAI, QING GUO, HE LIU & MIN ZHAO. (2023) STABILITY AND BIFURCATION IN A PREDATOR–PREY MODEL WITH PREY REFUGE. Journal of Biological Systems 31:02, pages 417-435.
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Daiyong Wu, Youwei Yang & Peng Wu. (2023) Impacts of prey-taxis and nonconstant mortality on a spatiotemporal predator–prey system. Mathematics and Computers in Simulation 208, pages 283-300.
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Shanbing Li & Jianhua Wu. (2023) Global bifurcation of coexistence states for a prey-predator model with prey-taxis/predator-taxis. Advanced Nonlinear Studies 23:1.
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Gurusamy Arumugam. (2023) Global existence and stability of three species predator-prey system with prey-taxis. Mathematical Biosciences and Engineering 20:5, pages 8448-8475.
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Mengxin Chen & Qianqian Zheng. (2023) Steady state bifurcation of a population model with chemotaxis. Physica A: Statistical Mechanics and its Applications 609, pages 128381.
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Shanbing Li & Ruyun Ma. (2022) Positive steady-state solutions for predator–prey systems with prey-taxis and Dirichlet conditions. Nonlinear Analysis: Real World Applications 68, pages 103669.
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Hai-Yang Jin, Zhi-An Wang & Leyun Wu. (2022) Global dynamics of a three-species spatial food chain model. Journal of Differential Equations 333, pages 144-183.
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Yingwei Song, Tie Zhang & Jinpeng Li. (2022) Dynamical behavior in a reaction-diffusion system with prey-taxis. Electronic Journal of Differential Equations 2022:01-87, pages 37.
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Pan Zheng. (2022) On a two-species competitive predator-prey system with density-dependent diffusion. Mathematical Biosciences and Engineering 19:12, pages 13421-13457.
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Jiawei Chu & Hai-Yang Jin. (2022) Predator-prey systems with defense switching and density-suppressed dispersal strategy. Mathematical Biosciences and Engineering 19:12, pages 12472-12499.
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Qian Cao, Yongli Cai & Yong Luo. (2022) Nonconstant positive solutions to the ratio-dependent predator-prey system with prey-taxis in one dimension. Discrete & Continuous Dynamical Systems - B 27:3, pages 1397.
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Jonathan Bell & Evan C. Haskell. (2021) Attraction–repulsion taxis mechanisms in a predator–prey model. Partial Differential Equations and Applications 2:3.
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Jing Li & Yifu Wang. (2021) Asymptotic behavior in a doubly tactic resource consumption model with proliferation. Zeitschrift für angewandte Mathematik und Physik 72:1.
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Yong Luo. (2021) Global existence and stability of the classical solution to a density-dependent prey-predator model with indirect prey-taxis. Mathematical Biosciences and Engineering 18:5, pages 6672-6699.
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