Results 41 to 50 of about 8,745 (203)

Turing patterns in parabolic systems of conservation laws and numerically observed stability of periodic waves

, 2017
Turing patterns on unbounded domains have been widely studied in systems of reaction-diffusion equations. However, up to now, they have not been studied for systems of conservation laws.
Barker, Blake Barker, Curtis, Deconinck, Deconinck, Eckhaus, Johnson, Johnson, Johnson, Johnson, Kawashima, Kevin Zumbrun, Matthews, Mielke, Mielke, Oh, Oh, Oh, Pogan, Schneider, Serre, Soyeun Jung, Turing   +22 more
core   +1 more source

The influence of dispersal on a predator-prey system with two habitats [PDF]

, 2016
Dispersal between different habitats influences the dynamics and stability of populations considerably. Furthermore, these effects depend on the local interactions of a population with other species.
Drossel, Barbara, Gramlich, Philipp, Gross, Thilo, Plitzko, Sebastian J., Rudolf, Lars   +4 more
core   +3 more sources

Turing bifurcation in nonlinear competition models with delay [PDF]

Quarterly of Applied Mathematics, 1996
Turing instability in reaction-diffusion and predator-prey models including diffusion and Volterra-type distributed delays in the interspecies interaction terms is considered. For general functional forms of the reaction terms/prey birth rate-predator death rate, and delays modeled by the “weak” generic kernel a exp ⁡
Choudhury, S. Roy, Fosser, C.
openaire   +2 more sources

Self-Organized Patterns Induced by Neimark-Sacker, Flip and Turing Bifurcations in a Discrete Predator-Prey Model with Lesie-Gower Functional Response

Entropy, 2017
The formation of self-organized patterns in predator-prey models has been a very hot topic recently. The dynamics of these models, bifurcations and pattern formations are so complex that studies are urgently needed.
Feifan Zhang, Huayong Zhang, Shengnan Ma, Tianxiang Meng, Tousheng Huang, Hongju Yang   +5 more
doaj   +1 more source

Pattern Dynamics in a Predator-Prey Model with Diffusion Network

Complexity, 2022
Diffusion plays an essential role in the distribution of predator and prey. We mainly research the diffusion network’s effect on the predator-prey model through bifurcation.
Wenjie Yang, Qianqian Zheng, Jianwei Shen, Qing Hu   +3 more
doaj   +1 more source

Hopf Bifurcation Analysis of a Diffusive Nutrient–Phytoplankton Model with Time Delay

Axioms, 2022
In this paper, we studied a nutrient–phytoplankton model with time delay and diffusion term. We studied the Turing instability, local stability, and the existence of Hopf bifurcation.
Ruizhi Yang, Liye Wang, Dan Jin
doaj   +1 more source

Labyrinthine Turing Pattern Formation in the Cerebral Cortex [PDF]

, 2002
I propose that the labyrinthine patterns of the cortices of mammalian brains may be formed by a Turing instability of interacting axonal guidance species acting together with the mechanical strain imposed by the interconnecting axons.Comment: See home ...
BAIER, BARD, CARTWRIGHT, CASTETS, DICKSTEIN, DOBYNS, ERNST, FITZHUGH, FITZHUGH, GOLDSTEIN, GOODHILL, GOODWIN, GRIFFIN, HENTSCHEL, JUDD, JULYAN H.E. CARTWRIGHT, KAUFFMAN, KOCH, KONDO, MEINHARDT, MURATOV, MURRAY, MURRAY, NAGUMO, ODELL, OSTER, OUYANG, RAGHAVAN, RAKIC, RAMÓN Y CAJAL, RICHMAN, SCANNELL, SEUL, TESSIER-LAVIGNE, TODD, TURING, VAN DER POL, VAN ESSEN, WATZL, WITELSON, ZHENG, ZILLES   +41 more
core   +3 more sources

Supercritical Hopf bifurcation and Turing patterns for an activator and inhibitor model with different sources

Advances in Difference Equations, 2018
We study the pattern generating mechanism of a generalized Gierer–Meinhardt model with diffusions. We show the existence and stability of the Hopf bifurcation for the corresponding kinetic system under certain conditions.
Jinliang Wang, You Li, Xiaojie Hou
doaj   +1 more source

Investigation of Turing structures formation under the influence of wave instability [PDF]

Компьютерные исследования и моделирование, 2019
A classical for nonlinear dynamics model, Brusselator, is considered, being augmented by addition of a third variable, which plays the role of a fast-diffusing inhibitor.
Maxim Borisovich Kuznetsov
doaj   +1 more source

Instabilities and Patterns in Coupled Reaction-Diffusion Layers

, 2012
We study instabilities and pattern formation in reaction-diffusion layers that are diffusively coupled. For two-layer systems of identical two-component reactions, we analyze the stability of homogeneous steady states by exploiting the block symmetric ...
Catlla, Anne J., McNamara, Amelia, Topaz, Chad M.   +2 more
core   +1 more source