Results 21 to 30 of about 8,077 (167)

Spread trend of COVID-19 epidemic outbreak in China: using exponential attractor method in a spatial heterogeneous SEIQR model

Mathematical Biosciences and Engineering, 2020
In this paper we introduce a method of global exponential attractor in the reaction-diffusion epidemic model in spatial heterogeneous environment to study the spread trend and long-term dynamic behavior of the COVID-19 epidemic.
Cheng-Cheng Zhu, Jiang Zhu
doaj   +1 more source

Cross-attractor modeling of resting-state functional connectivity in psychiatric disorders

NeuroImage, 2023
Resting-state functional connectivity (RSFC) is altered across various psychiatric disorders. Brain network modeling (BNM) has the potential to reveal the neurobiological underpinnings of such abnormalities by dynamically modeling the structure-function ...
Yinming Sun, Mengsen Zhang, Manish Saggar   +2 more
doaj   +1 more source

Dynamic of the nonclassical diffusion equation with memory

Boundary Value Problems, 2023
In this paper, we consider the nonclassical diffusion equation with memory and the nonlinearity of the polynomial growth condition of arbitrary order in the time-dependent space.
Jing Wang, Qiaozhen Ma, Wenxue Zhou, Xiaobin Yao   +3 more
doaj   +1 more source

Stability of limit regimes in general reaction-diffusion type systems

Науковий вісник Ужгородського університету. Серія: Математика і інформатика, 2022
In this paper, we consider the stability of limit regimes for a general class of nonlinear distributed mathematical models named Reaction-Diffusion models. RD systems naturally arise in many applications.
О. В. Капустян, Т. В. Юсипів   +1 more
doaj   +1 more source

Attractors for a class of doubly nonlinear parabolic systems

Electronic Journal of Qualitative Theory of Differential Equations, 2006
In this paper, we establish the existence and boundedness of solutions of a doubly nonlinear parabolic system. We also obtain the existence of a global attractor and the regularity property for this attractor in $\left[ L^{\infty }(\Omega )\right] ^{2 ...
Hamid El Ouardi, Abderrahmane El Hachimi
doaj   +1 more source

On Global Attractors for a Class of Reaction-Diffusion Equations on Unbounded Domains with Some Strongly Nonlinear Weighted Term

Discrete Dynamics in Nature and Society, 2015
We consider the existence and properties of the global attractor for a class of reaction-diffusion equation ∂u/∂t-Δu-u+κ(x)|u|p-2u+f(u)=0,  in  Rn×R+;  u(x,0)=u0(x),  in  Rn.
Jin Zhang, Chengkui Zhong
doaj   +1 more source

Global Existence and Compact Attractors for the Discrete Nonlinear Schrödinger equation [PDF]

, 2022
Nikos I. Karachalios, Athanasios N. Yannacopoulos   +1 more
openalex   +1 more source

Global Attractors and Asymptotic Gain Property for Non-Autonomous Inclusion of Reaction–Diffusion Type

Journal of Optimization, Differential Equations and Their Applications
We investigate global resolvability and stability of attractors for parabolic inclusion with multi-valued interaction function of reaction-diffusion type and non-autonomous disturbances.
Oleksiy V. Kapustyan, Taras V. Yusypiv, M. Ospanov, M. Alday   +3 more
doaj   +1 more source

Topology of global attractors for homeomorphisms with the topological shadowing property in $\mathbb{R}^m$ [PDF]

, 2023
Gonzalo Cousillas
openalex   +1 more source

Global dynamics of a reaction-diffusion system

Electronic Journal of Differential Equations, 2011
In this work the existence of a global attractor for the semiflow of weak solutions of a two-cell Brusselator system is proved. The method of grouping estimation is exploited to deal with the challenge in proving the absorbing property and the ...
Yuncheng You
doaj