Results 121 to 130 of about 32,448 (189)

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

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

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

Finding the condition of Turing instabilities [PDF]

Journal Club for Condensed Matter Physics, 2021
openaire   +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

Stabilising spatiotemporal dynamics of mussel-algae coupled map lattices model via proportional-differential control. [PDF]

J Math Biol
Zhu Y, Ma X, Wang J, Frascoli F, Zhang T.   +4 more
europepmc   +1 more source