Turing instability in pioneer/climax species interactions
Mathematical Biosciences, 2005Systems of pioneer and climax species are used to model interactions of species whose reproductive capacity is sensitive to population density in their shared ecosystem. Intraspecies interaction coefficients can be adjusted so that spatially homogeneous solutions are stable to small perturbations.
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Impact of non-diffusive interactions on Turing instability
Communications in Nonlinear Science and Numerical SimulationzbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nannan Zhao, Haohao Xie, Xuexue Zhang
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Turing instabilities in prey–predator systems with dormancy of predators
Journal of Mathematical Biology, 2014In this paper, we study the stationary and oscillatory Turing instabilities of a homogeneous equilibrium in prey-predator reaction-diffusion systems with dormant phase of predators. We propose a simple criterion which is useful in classifying these Turing instabilities.
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Turing instability of periodic solutions for the Gierer–Meinhardt model with cross-diffusion
Chaos, Solitons and Fractals, 2022Ge Bin, Haicheng Liu
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Cross-Diffusion-Induced Turing Instability in a Two-Prey One-Predator System
Mathematics, 2023, Yahui Chen, You Zhou
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Turing instability and pattern formations for reaction-diffusion systems on 2D bounded domain
Discrete and Continuous Dynamical Systems - Series B, 2022Chuncheng Wang, Weihua Jiang
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Turing and Benjamin–Feir instability mechanisms in non-autonomous systems
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2020Robert Van Gorder
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Turing instability of the periodic solution for a generalized diffusive Maginu model
Computational and Applied Mathematics, 2022Xiaowei Ju
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Turing instability induced by random network in FitzHugh-Nagumo model
Applied Mathematics and Computation, 2020Zheng Qianqian, Jianwei Shen
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Turing Instability and Pattern Formation in a Strongly Coupled Diffusive Predator–Prey System
International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 2020Guangping Hu, Zhaosheng Feng
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