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Turing bifurcations with a temporally varying diffusion coefficient
Journal of Mathematical Biology, 1995zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Normal form of Turing–Turing bifurcation for the diffusive Bazykin system with prey-taxis
International Journal of BiomathematicsIn this paper, we introduce prey-taxis to the diffusive Bazykin system and study the codimension-two Turing–Turing bifurcation of this modified system. For the local system, i.e. without diffusion terms and the prey-taxis term, we investigate the stability of the unique positive equilibrium.
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On the convective nature of the instability of a front undergoing a supercritical Turing bifurcation
Mathematics and Computers in Simulation, 2009The author studies some stability questions related to the parabolic system \[ \begin{aligned} & \partial_tu_1=\partial^2_xu_1+\tfrac12(u_1-c)(1-u^2)+\gamma_1u^2_2\\ & \partial_tu_2=-(1+\partial^2_x)^2u_2+\alpha u_2-u^3_2-\gamma_2u_2(1+u_1)\end{aligned}\tag{1} \] already considered in [(*) \textit{A. Ghazaryan} and \textit{B. Sandstede}, SIAM J.
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Turing–Hopf bifurcation in a general Selkov–Schnakenberg reaction–diffusion system
Chaos, Solitons and Fractals, 2023Yanqiu Li, Yibo Zhou
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Turing–Hopf bifurcation of a delayed diffusive predator–prey system with chemotaxis and fear effect
Applied Mathematics Letters, 2021Binxiang Dai, Guangxun Sun
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Turing-Hopf bifurcation in a diffusive mussel-algae model with time-fractional-order derivative
Chaos, Solitons and Fractals, 2020Salih Djilali +2 more
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Turing–Hopf bifurcation co-induced by cross-diffusion and delay in Schnakenberg system
Chaos, Solitons and Fractals, 2022Rui Yang
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