Turing–Hopf bifurcations in a predator–prey model with herd behavior, quadratic mortality and prey-taxis
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DOI: 10.1016/j.physa.2018.01.006
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References listed on IDEAS
- Ghorai, Santu & Poria, Swarup, 2016. "Pattern formation and control of spatiotemporal chaos in a reaction diffusion prey–predator system supplying additional food," Chaos, Solitons & Fractals, Elsevier, vol. 85(C), pages 57-67.
- Meng, Xin-zhu & Zhao, Sheng-nan & Zhang, Wen-yan, 2015. "Adaptive dynamics analysis of a predator–prey model with selective disturbance," Applied Mathematics and Computation, Elsevier, vol. 266(C), pages 946-958.
- Camara, B.I. & Haque, M. & Mokrani, H., 2016. "Patterns formations in a diffusive ratio-dependent predator–prey model of interacting populations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 461(C), pages 374-383.
- Zhang, Tongqian & Ma, Wanbiao & Meng, Xinzhu & Zhang, Tonghua, 2015. "Periodic solution of a prey–predator model with nonlinear state feedback control," Applied Mathematics and Computation, Elsevier, vol. 266(C), pages 95-107.
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Cited by:
- Djilali, Salih, 2019. "Impact of prey herd shape on the predator-prey interaction," Chaos, Solitons & Fractals, Elsevier, vol. 120(C), pages 139-148.
- Meng Zhu & Jing Li & Xinze Lian, 2022. "Pattern Dynamics of Cross Diffusion Predator–Prey System with Strong Allee Effect and Hunting Cooperation," Mathematics, MDPI, vol. 10(17), pages 1-20, September.
- Shivam, & Singh, Kuldeep & Kumar, Mukesh & Dubey, Ramu & Singh, Teekam, 2022. "Untangling role of cooperative hunting among predators and herd behavior in prey with a dynamical systems approach," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).
- Guo, Xiaoxia & Zhu, Chunjuan & Ruan, Dehao, 2019. "Dynamic behaviors of a predator–prey model perturbed by a complex type of noises," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 523(C), pages 1024-1037.
- Zhenzhen Shi & Yaning Li & Huidong Cheng, 2019. "Dynamic Analysis of a Pest Management Smith Model with Impulsive State Feedback Control and Continuous Delay," Mathematics, MDPI, vol. 7(7), pages 1-15, July.
- Yan, Shuixian & Jia, Dongxue & Zhang, Tonghua & Yuan, Sanling, 2020. "Pattern dynamics in a diffusive predator-prey model with hunting cooperations," Chaos, Solitons & Fractals, Elsevier, vol. 130(C).
- Liu, Yanwei & Zhang, Tonghua & Liu, Xia, 2020. "Investigating the interactions between Allee effect and harvesting behaviour of a single species model: An evolutionary dynamics approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 549(C).
- Jonathan Bell & Evan C. Haskell, 2021. "Attraction–repulsion taxis mechanisms in a predator–prey model," Partial Differential Equations and Applications, Springer, vol. 2(3), pages 1-29, June.
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Keywords
Turing pattern; Turing–Hopf bifurcation; Reaction–diffusion equations; Herd behavior; Diffusion;All these keywords.
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