Results 111 to 120 of about 32,500 (209)

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

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

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

Front and Turing patterns induced by Mexican-hat-like nonlocal feedback

, 2015
We consider the effects of a Mexican-hat-shaped nonlocal spatial coupling, i.e., symmetric long-range inhibition superimposed with short-range excitation, upon front propagation in a model of a bistable reaction-diffusion system.
Schöll, Eckehard, Siebert, Julien
core   +1 more source

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

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  

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 Pattern Dynamics of Propagation Models in Complex Networks

Entropy
Based on the detrimental impact of network rumors, we employ the Laplacian matrix to reconstruct a diffusion term and establish a rumor propagation model that extends from traditional physical space to cyberspace. In this paper, we analyze the occurrence
Xuerui Zhu, Xinlin Chen, Le He, Linhe Zhu   +3 more
doaj   +1 more source

Pattern Dynamics Analysis of Host–Parasite Models with Aggregation Effect Based on Coupled Map Lattices

Mathematics
Host–parasitoid systems are an essential area of research in ecology and evolutionary biology due to their widespread occurrence in nature and significant impact on species evolution, population dynamics, and ecosystem stability.
Shuo Liang, Wenlong Wang, Chunrui Zhang
doaj   +1 more source