Results 121 to 130 of about 32,500 (209)

Exploring Spatiotemporal Complexity of a Predator-Prey System with Migration and Diffusion by a Three-Chain Coupled Map Lattice

Complexity, 2019
The topic of utilizing coupled map lattice to investigate complex spatiotemporal dynamics has attracted a lot of interest. For exploring the spatiotemporal complexity of a predator-prey system with migration and diffusion, a new three-chain coupled map ...
Tousheng Huang, Huayong Zhang, Xuebing Cong, Ge Pan, Xiumin Zhang, Zhao Liu   +5 more
doaj   +1 more source

A Nonlinear Cross-Diffusion Model for Disease Spread: Turing Instability and Pattern Formation

Mathematics
In this article, we propose a novel nonlinear cross-diffusion framework to model the distribution of susceptible and infected individuals within their habitat using a reduced SIR model that incorporates saturated incidence and treatment rates.
Ravi P. Gupta, Arun Kumar, Shristi Tiwari   +2 more
doaj   +1 more source

Rich Dynamics Caused by a Fractional Diffusion Operator in Nonchaotic Rulkov Maps

Fractal and Fractional
There are few works about Neimark–Sacker bifurcating analysis on discrete dynamical systems with linear diffusion and delayed coupling under periodic/Neumann-boundary conditions.
Huanqin Hu, Mingshu Peng, Yingfei Qi
doaj   +1 more source

Turing instabilities for three interacting species

Applied Mathematics Letters
In this paper, I prove necessary and sufficient conditions for the existence of Turing instabilities in a general system with three interacting species. Turing instabilities describe situations when a stable steady state of a reaction system (ordinary differential equation) becomes an unstable homogeneous steady state of the corresponding reaction ...
openaire   +2 more sources

Periodic waves of the Lugiato-Lefever equation at the onset of Turing instability. [PDF]

Philos Trans A Math Phys Eng Sci, 2018
Delcey L, Haraguss M.
europepmc   +1 more source

Model reduction enables Turing instability analysis of large reaction-diffusion models. [PDF]

J R Soc Interface, 2018
Smith S, Dalchau N.
europepmc   +1 more source

Finding the condition of Turing instabilities [PDF]

Journal Club for Condensed Matter Physics, 2021
openaire   +1 more source

Turing Instability-Driven Biofabrication of Branching Tissue Structures: A Dynamic Simulation and Analysis Based on the Reaction⁻Diffusion Mechanism ^†. [PDF]

Micromachines (Basel), 2018
Zhu X, Yang H.
europepmc   +1 more source

Morphogene adsorption as a Turing instability regulator: Theoretical analysis and possible applications in multicellular embryonic systems. [PDF]

PLoS One, 2017
Nesterenko AM, Kuznetsov MB, Korotkova DD, Zaraisky AG.   +3 more
europepmc   +1 more source

The Emergence of Turing Instability and Pattern Formation in a Nonlinear Stochastic Spatiotemporal Epidemic Model with Reinfections. [PDF]

Acta Biotheor
Singh AK, Almsheks R, Kumar M, Ramakrishnan S.   +3 more
europepmc   +1 more source