Results 111 to 120 of about 32,448 (189)

Cell polarisation in a bulk-surface model can be driven by both classic and non-classic Turing instability. [PDF]

NPJ Syst Biol Appl, 2021
Borgqvist J, Malik A, Lundholm C, Logg A, Gerlee P, Cvijovic M.   +5 more
europepmc   +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

Scenarios of domain pattern formation in a reaction-diffusion system

, 1996
We performed an extensive numerical study of a two-dimensional reaction-diffusion system of the activator-inhibitor type in which domain patterns can form.
A. Hagberg, A. Hagberg, A. N. Zaikin, A. S. Mikhailov, B. S. Kerner, B. S. Kerner, B. S. Kerner, B. S. Kerner, C. B. Muratov, C. B. Muratov, C. B. Muratov, D. Haim, E. Ammelt, G. Nicolis, I. Lengyel, J. D. Murray, K. J. Lee, K. J. Lee, K. Krischer, K. Lee, M. Bode, M. Cross, M. Gorman, M. Gorman, M. Gorman, M. Seul, P. C. Fife, P. Ortoleva, R. C. Casten, R. E. Goldstein, R. F. Mamin, T. Ohta, T. Ohta, T. Ohta, V. A. Vasiliev, V. V. Osipov, V. V. Osipov, V. V. Osipov   +37 more
core   +1 more source

Turing pattern dynamics in a fractional-diffusion oregonator model under PD control

Nonlinear Analysis
In this paper, fractional-order diffusion and proportional-derivative (PD) control are introduced in oregonator model, and the Turing pattern dynamics is investigated for the first time.
Hongliang Li, Yi Yao, Min Xiao, Zhen Wang, Leszek Rutkowski   +4 more
doaj   +1 more source

Feedback Control and Parameter Invasion for a Discrete Competitive Lotka–Volterra System

Discrete Dynamics in Nature and Society, 2018
State feedback is used to stabilize the Turing instability at the unstable equilibrium point of a discrete competitive Lotka–Volterra system. In addition, a regularization method is applied to parameter inversion for the given Turing system and numerical
Li Xu, Shanshan Lou, Panqi Xu, Guang Zhang   +3 more
doaj   +1 more source

Optimal Control and Spatial Heterogeneity: Pattern Formation in Economic-Ecological Models [PDF]

This paper extends Turing analysis to standard recursive optimal control frameworks in economics and applies it to dynamic bioeconomic problems where the interaction of coupled economic and ecological dynamics under optimal control over space creates (or
Anastasios Xepapadeas, William Brock
core  

Dynamics of a Diffusive Predator-Prey Model with Allee Effect on Predator

Discrete Dynamics in Nature and Society, 2013
The reaction-diffusion Holling-Tanner prey-predator model considering the Allee effect on predator, under zero-flux boundary conditions, is discussed. Some properties of the solutions, such as dissipation and persistence, are obtained.
Xiaoqin Wang, Yongli Cai, Huihai Ma
doaj   +1 more source

Turing instability in Anisotropic systems

, 1987
info:eu-repo/semantics ...
Dewel, Guy, Walgraef, Daniel, Borckmans, Pierre   +2 more
openaire   +1 more source

Pattern Formation in a Diffusive Ratio-Dependent Holling-Tanner Predator-Prey Model with Smith Growth

Discrete Dynamics in Nature and Society, 2013
The spatiotemporal dynamics of a diffusive ratio-dependent Holling-Tanner predator-prey model with Smith growth subject to zero-flux boundary condition are investigated analytically and numerically.
Bo Yang
doaj   +1 more source

The Dynamics of Growth and Distribution in a Spatially Heterogeneous World [PDF]

This paper tries to reconcile growth and geographical economics by dealing directly with capital accumulation through time and space and by seeing growth convergence and spatial agglomeration as jointly generated by dynamic processes displaying pattern ...
Paulo Brito
core