Results 81 to 90 of about 8,750 (185)

Turing instability in a modified cross-diffusion Leslie–Gower predator–prey model with Beddington–DeAngelis functional response

Boundary Value Problems, 2022
In this paper, a modified cross-diffusion Leslie–Gower predator–prey model with the Beddington–DeAngelis functional response is studied. We use the linear stability analysis on constant steady states to obtain sufficient conditions for the occurrence of ...
Marzieh Farshid, Yaghoub Jalilian
doaj   +1 more source

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

Ontogenetic Diversification of Type 2 Conventional Dendritic Cells in the Bone Marrow: A Central Logic for Peripheral Immunity

Immunological Reviews, Volume 336, Issue 1, November 2025.
ABSTRACT Type 2 conventional dendritic cells (cDC2s) are central orchestrators of adaptive immunity. While historically considered a single population shaped by local microenvironments, recent evidence indicates that cDC2s comprise developmentally distinct subsets—cDC2As and cDC2Bs—with divergent ontogeny, tissue distribution, and immune functions ...
Robert W. Baber, Miguel Â. Magalhães‐Patrício, Maria V. Pires, Vasco Correia, Juan M. Lozano‐Gil, João C. Guimarães, Chrysothemis C. Brown, Marc Dalod, Carlos M. Minutti   +8 more
wiley   +1 more source

Bifurcation analysis in a diffusive predator–prey system with Michaelis–Menten-type predator harvesting

Advances in Difference Equations, 2018
In this paper, we consider a modified predator–prey model with Michaelis–Menten-type predator harvesting and diffusion term. We give sufficient conditions to ensure that the coexisting equilibrium is asymptotically stable by analyzing the distribution of
Qiannan Song, Ruizhi Yang, Chunrui Zhang, Leiyu Tang   +3 more
doaj   +1 more source

Pattern Formation and Nonlinear Waves Close to a 1:1 Resonant Turing and Turing–Hopf Instability

Studies in Applied Mathematics, Volume 155, Issue 5, November 2025.
ABSTRACT In this paper, we analyze the dynamics of a pattern‐forming system close to simultaneous Turing and Turing–Hopf instabilities, which have a 1:1 spatial resonance, that is, they have the same critical wave number. For this, we consider a system of coupled Swift–Hohenberg equations with dispersive terms and general, smooth nonlinearities.
Bastian Hilder, Christian Kuehn
wiley   +1 more source

On Turing-Turing bifurcation of partial functional differential equations and its induced superposition patterns

, 2022
When two Turing modes interact, i.e., Turing-Turing bifurcation occurs, superposition patterns revealing complex dynamical phenomena appear. In this paper, superposition patterns resulting from Turing-Turing bifurcation are investigated in theory. Firstly, the third-order normal form locally topologically equivalent to original partial functional ...
Cao, Xun, Jiang, Weihua
openaire   +2 more sources

Unravelling the Turing bifurcation using spatially varying diffusion coefficients [PDF]

Journal of Mathematical Biology, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Benson, D, Maini, P, Sherratt, J
openaire   +2 more sources

Mean-field equations for stochastic firing-rate neural fields with delays: Derivation and noise-induced transitions

, 2017
In this manuscript we analyze the collective behavior of mean-field limits of large-scale, spatially extended stochastic neuronal networks with delays.
Abbott, Amari, Amit, Aradi, Bosking, Bressloff, Bressloff, Brunel, Buice, Buzsaki, Coombes, Coombes, Coombes, Corless, Destexhe, Diba, Ecker, El Boustani, Engelborghs, Ermentrout, Ermentrout, Ermentrout, Ermentrout, Fregnac, Hale, Hubel, Hutt, Izhikevich, Jonathan Touboul, Kandel, Laing, Lindner, Meinhardt, Nesse, Pham, Renart, Rolls, Roxin, Roxin, Series, Shayer, Spreng, Tabareau, Talay, Thorpe, Touboul, Venkov, Wilson, Wilson, Woosley   +49 more
core   +1 more source

An economic cross-diffusion mutualistic model for cities emergence

, 2019
We study an evolution cross-diffusion problem with mutualistic Lotka-Volterra reaction term to modelize the long-term spatial distribution of labor and capital. The mutualistic behavior is deduced from the gradient flow associated to profits maximization.
de-Córdoba, Gonzalo F., Galiano, Gonzalo   +1 more
core   +1 more source

Rehumanizing Higher Education: Fostering Humanity in the Era of Machine Learning

New Directions for Teaching and Learning, Volume 2025, Issue 183, Page 21-26, Fall 2025.
ABSTRACT Recent advancements in artificial intelligence (AI) have raised contentious questions and spawned divided opinions regarding the future of education. The polarization it brings to the academy seems to be breaking between the soft and hard disciplines and is reminiscent of the Science Wars of the 1990s. This chapter highlights the philosophical
Joseph Carver, Samba Bah
wiley   +1 more source