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Generalized dynamics of cooperating bacteria

Massing JC, Gross T, Yeakel JD, Fahimipour AK.   +3 more
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Stability of Turing bifurcation in a weighted networked reaction–diffusion system

Applied Mathematics Letters, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jing Chen, Canrong Tian, Jia Liu
exaly   +4 more sources

Bifurcations in a predator-prey model with memory and diffusion II: Turing bifurcation

Acta Mathematica Hungarica, 1994
[For part I see the preceding review, Zbl 0809.92017).] The stability of a positive equilibrium \(U\) \((U = (Q_ 0, P_ 0)\), \(Q_ 0 > 0\), \(P_ 0 > 0)\) of a one-dimensional reaction-diffusion system with zero-flux boundary conditions is studied under natural constraints.
Mario Cavani, M Farkaš
exaly   +3 more sources

Turing–Hopf bifurcation in the reaction–diffusion equations and its applications

Communications in Nonlinear Science and Numerical Simulation, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yahong Peng, Yongli Song, Tonghua Zhang   +2 more
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Turing bifurcation in a diffusive predator–prey model with schooling behavior

Applied Mathematics Letters, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Heping Jiang
exaly   +3 more sources

Turing-Turing bifurcation and multi-stable patterns in a Gierer-Meinhardt system

Applied Mathematical Modelling, 2022
Hongbin Wang
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Normal Form Formulae of Turing–Turing Bifurcation for Partial Functional Differential Equations With Nonlinear Diffusion

Mathematical Methods in the Applied Sciences
ABSTRACTFor most systems, the appearance of Turing bifurcation means that it is possible to excite Turing–Turing bifurcation, thus inducing superimposed spatial patterns, multistable spatial patterns co‐existing, and others.It is undoubtedly of interest to qualitatively analyze the structures and stability of these spatially heterogeneous solutions ...
Weihua Jiang
exaly   +2 more sources

Turing‐Turing and Turing‐Hopf bifurcations in a general diffusive Brusselator model

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 2023
AbstractA general reaction‐diffusion Brusselator model subject to homogeneous Neumann boundary conditions is investigated in this paper. First, the stability of the unique positive equilibrium is studied, and we identify the existence of the Hopf bifurcation.
Chen, Mengxin, Wu, Ranchao, Liu, Biao, Chen, Liping   +3 more
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Turing Instability and Hopf Bifurcation in Cellular Neural Networks

International Journal of Bifurcation and Chaos, 2021
In this paper, we explore the dynamical behaviors of the 1D two-grid coupled cellular neural networks. Assuming the boundary conditions of zero-flux type, the stability of the zero equilibrium is discussed by analyzing the relevant eigenvalue problem with the aid of the decoupling method, and the conditions for the occurrence of Turing instability and
Zunxian Li, Chengyi Xia
openaire   +1 more source