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BIFURCATIONS IN A HUMAN MIGRATION MODEL OF SCHEURLE–SEYDEL TYPE-I: TURING BIFURCATION
International Journal of Bifurcation and Chaos, 2003In this paper we consider a model for the behavior of students in graduate programs at neighboring universities which is a modified form of the model proposed by [Scheurle & Seydel, 2000], and observe that the stationary solution of this two-component system becomes unstable in the presence of diffusion.
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Turing–Turing bifurcation in an activator–inhibitor system with gene expression time delay
Communications in Nonlinear Science and Numerical SimulationzbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A Turing–Hopf Bifurcation Scenario for Pattern Formation on Growing Domains
Bulletin of Mathematical Biology, 2016In this paper, we study the emergence of different patterns that are formed on both static and growing domains and their bifurcation structure. One of these is the so-called Turing-Hopf morphogenetic mechanism. The reactive part we consider is of FitzHugh-Nagumo type.
Castillo, Jorge A. +2 more
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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 ...
Yue Xing, Weihua Jiang
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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 ...
Yue Xing, Weihua Jiang
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Turing bifurcation in a system with cross diffusion
Nonlinear Analysis, 2004The Turing bifurcation is studied in the following reaction-diffusion systems \(\partial_t S=D\Delta S+f(S)\) of two components \(S=(S_1,S_2),\) with a non-diagonal diffusion matrix \(D\) and the Neumann boundary condition, and with a nonlinearity \(f\) which ensures that the corresponding kinetic system has linearly stable solutions.
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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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Turing-Turing bifurcation and multi-stable patterns in a Gierer-Meinhardt system
Applied Mathematical Modelling, 2022Zhao, Shuangrui, Wang, Hongbin
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TURING BIFURCATION IN A HUMAN MIGRATION MODEL OF SCHEURLE–SEYDEL TYPE
International Journal of Bifurcation and Chaos, 2013The main goal of this paper is to continue the investigations of the important system proposed by [Scheurle & Seydel, 2000] and modified by [Sándor, 2003]. I consider spatio-temporal models for the behavior of students in graduate programs at neighboring universities as systems of ODE which describe two-identical patch-two-species systems linked ...
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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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