Results 101 to 110 of about 893,395 (191)

Delay-induced patterns in a predator–prey model on complex networks with diffusion

New Journal of Physics, 2019
Reaction-diffusion (RD) systems with time delays have been commonly used in modeling biological systems and can significantly change the dynamics of these systems.
Lili Chang, Chen Liu, Guiquan Sun, Zhen Wang, Zhen Jin   +4 more
doaj   +1 more source

A Novel Coupled Reaction-Diffusion System for Explainable Gene Expression Profiling. [PDF]

Sensors (Basel), 2021
Farouq MW, Boulila W, Hussain Z, Rashid A, Shah M, Hussain S, Ng N, Ng D, Hanif H, Shaikh MG, Sheikh A, Hussain A.   +11 more
europepmc   +1 more source

Oscillatory Turing Patterns in a Simple Reaction-Diffusion System [PDF]

, 2007
Turing suggested that, under certain conditions, chemicals can react and diffuse in such a way as to produce steady-state inhomogeneous spatial patterns of chemical concentrations.
Liaw, S. S., Liu, R. T., Maini, P. K.
core  

Novel analytical expression of concentrations of redox components in the new autocatalytic mechanism: The hyperbolic function method

Partial Differential Equations in Applied Mathematics
A theoretical study of the new autocatalytic mechanisms (EC″) for irreversible homogeneous reaction on diffusion layer for steady-state conditions is provided.
G. Yokeswari, I. Paulraj Jayasimman, L. Rajendran, M.E.G. Lyons   +3 more
doaj   +1 more source

The human EDAR 370V/A polymorphism affects tooth root morphology potentially through the modification of a reaction-diffusion system. [PDF]

Sci Rep, 2021
Kataoka K, Fujita H, Isa M, Gotoh S, Arasaki A, Ishida H, Kimura R.   +6 more
europepmc   +1 more source

Global solution for a system of semilinear diffusion-reaction equations with distinct diffusion coefficients

Electronic Journal of Qualitative Theory of Differential Equations
In this paper, we show the existence of solution for a relatively general system of semilinear parabolic equations with nonlinear reaction rate terms and inflow-outflow boundary conditions. Generally, to show the existence of global solution, it has been
Michael Böhm, Nibedita Ghosh, Hari Shankar Mahato   +2 more
doaj   +1 more source

Well-posedness and exponential equilibration of a volume-surface reaction-diffusion system with nonlinear boundary coupling [PDF]

, 2014
Tang Quoc Bao, Klemens Fellner, Evangelos Latos   +2 more
openalex   +1 more source

Stability analysis of fractional two-dimensional reaction-diffusion model with applications in biological processes

AIMS Mathematics
We study the stability of a two-dimensional fractional reaction-diffusion system under the Caputo differential operator in time. Our model is based on the Grey-Scott model, a well-known coupled reaction-diffusion system that describes the interaction ...
Ishtiaq Ali, Saeed Islam
doaj   +1 more source

Numerical Solutions of Reaction-Diffusion systems with coupled diffusion terms

Ruhuna Journal of Science, 2009
Numerical solutions of some initial-boundary value problem associated with a particular reaction-diffusion systems namely Gray-Scott model responsible for spatial pattern formation are considered.
L.W. Somathilake
doaj  

A Note on Asymptotic Behavior of Solutions to a Heterogeneous Nonlinear Reaction-Diffusion System [PDF]

, 1986
Sining Zheng
openalex   +1 more source