Results 81 to 90 of about 4,429,182 (354)
Global Existence and Boundedness of Solutions to a Second-Order Nonlinear Differential System
Journal of Applied Mathematics, 2012 We investigate the global existence and boundedness of solutions to a second-order nonlinear differential system.
Changjian Wu, Shushuang Hao, Changwei Xu
doaj +1 more source
Uniform boundedness and extinction results of solutions to a predator–prey system
Electronic Journal of Qualitative Theory of Differential Equations, 2020 Global existence, positivity, uniform boundedness and extinction results of solutions to a system of reaction-diffusion equations on unbounded domain modeling two species on a predator–prey relationship is considered.
Mokhtar Kirane +2 more
doaj +1 more source
Yorke and Wright 3/2-stability theorems from a unified point of view [PDF]
, 2003 We consider a family of scalar delay differential equations $x'(t)=f(t,x_t)$, with a nonlinearity $f$ satisfying a negative feedback condition combined with a boundedness condition.
Aplicada Ii +4 more
core +1 more source
FEBS Letters, EarlyView.Angiotensin II (AngII), a neuropeptide, interacts with amyloid‐β (Aβ), a key player in Alzheimer's disease. This study reveals that AngII reduces Aβ aggregation and membrane disruption in vitro. Biophysical assays and molecular modeling suggest AngII binds disordered Aβ forms, potentially modulating early amyloidogenic events and contributing to ...
Mohsen Habibnia +5 more
wiley +1 more source
The role of fibroblast growth factors in cell and cancer metabolism
FEBS Letters, EarlyView.Fibroblast growth factor (FGF) signaling regulates crucial signaling cascades that promote cell proliferation, survival, and metabolism. Therefore, FGFs and their receptors are often dysregulated in human diseases, including cancer, to sustain proliferation and rewire metabolism.
Jessica Price, Chiara Francavilla
wiley +1 more source
Global Dynamics, Boundedness, and Semicycle Analysis of a Difference Equation
Discrete Dynamics in Nature and Society, 2021 In this paper, we explore local stability, attractor, periodicity character, and boundedness solutions of the second-order nonlinear difference equation. Finally, obtained results are verified numerically.
Abdul Qadeer Khan, Hamdy El-Metwally
doaj +1 more source
Boundary Value Problems, 2018 In this paper, a reaction–diffusion system of a predator–prey model with Beddington–DeAngelis functional response is considered. This model describes a prey-taxis mechanism that is an immediate movement of the predator u in response to a change of the ...
Demou Luo
semanticscholar +1 more source
Boundedness of Global Solutions for a Heat Equation with Exponential Gradient Source [PDF]
Abstract and Applied Analysis, 2011 We consider a one‐dimensional semilinear parabolic equation with exponential gradient source and provide a complete classification of large time behavior of the classical solutions: either the space derivative of the solution blows up in finite time with the solution itself remaining bounded or the solution is global and converges in C1 norm to the ...
Zhang, Zhengce, Li, Yanyan
openaire +4 more sources
FEBS Letters, EarlyView.In this study, we present the structure of AcrIE8.1, a previously uncharacterized anti‐CRISPR protein that inhibits the type I‐E CRISPR‐Cas system. Through a combination of structural and biochemical analyses, we demonstrate that AcrIE8.1 directly binds to the Cas11 subunit of the Cascade complex to inhibit the CRISPR‐Cas system.
Young Woo Kang, Hyun Ho Park
wiley +1 more source
The Global Existence of Solutions in Time for a Chemotaxis Model with Two Chemicals
Journal of Applied Mathematics, 2014 This paper concerns the uniform boundedness and global existence of solutions in time for the chemotaxis model with two chemicals. We prove the system has global existence of solutions in time for any dimension n.
Qian Xu, Xiaolin Liu, Li Zhang
doaj +1 more source