Global attractor in competitive Lotka–Volterra systems [PDF]
Mathematische Nachrichten, 2009 AbstractFor autonomous Lotka–Volterra systems of differential equations modelling the dynamics of n competing species, new criteria are established for the existence of a single point global attractor. Under the conditions of these criteria, some of the species will survive and stabilise at a steady state whereas the others, if any, will die out ...
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Asymptotic behavior of a delay predator-prey system with stage structure and variable coefficients
Electronic Journal of Differential Equations, 2008 In this paper, we establish a global attractor for a Lotka-Volterra type reaction-diffusion predator-prey model with stage structure for the predator, delay due to maturity and variable coefficients.
Javier A. Hernandez-Pinzon +2 more
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Time-Dependent Global Attractor for a Class of Nonclassical Parabolic Equations
Journal of Applied Mathematics, 2014 Based on the recent theory of time-dependent global attractors in the works of Conti et al. (2013) and di Plinio et al. (2011), we prove the existence of time-dependent global attractors as well as the regularity of the time-dependent global attractor ...
Fang-hong Zhang
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Global dynamics of a fourth-order parabolic equation describing crystal surface growth
Nonlinear Analysis, 2019 In this paper, we study the global dynamics for the solution semiflow of a fourth-order parabolic equation describing crystal surface growth. We show that the equation has a global attractor in H4per(Ω) when the initial value belongs to H1per(Ω).
Ning Duan, Xianyun Xu
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Changes in Immune‐Inflammation Status and Acute Ischemic Stroke Prognosis in Prospective Cohort
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Background Inflammation is a critical risk factor for poor outcomes in cerebral infarction. Prior studies focused primarily on baseline inflammation status, neglecting dynamic longitudinal changes. We try to investigate the association between immune‐inflammation status alterations and stroke prognosis, and evaluated three systemic biomarkers'
Songfang Chen +11 more
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Global Attractors for a Semilinear Hyperbolic Equation in Viscoelasticity
Journal of Mathematical Analysis and Applications, 2001 A semilinear partial differential equation of hyperbolic type with a convolution term describing simple viscoelastic materials with fading memory is considered. Regarding the past history (memory) of the displacement as a new variable, the equation is transformed into a dynamical system in a suitable Hilbert space.
C. Giorgi +2 more
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The McCance Brain Care Score and Mortality: Evidence From a Large‐Scale Population‐Based Cohort
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objectives This study aimed to examine the relationship between the McCance Brain Care Score (BCS) and mortality in the general population. Methods We conducted a prospective, population‐based cohort study using data from the UK Biobank. Participants with complete data enabling calculation of BCS and full mortality information were included ...
Zhiqiang Xu, Xiaoxiao Wang, Nan Li
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Refractory Status Epilepticus Treated With Bilateral Pulvinar Deep Brain Stimulation—A Case Study
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT New‐onset refractory status epilepticus (NORSE) arises without an identifiable cause or prior epilepsy history, with a 16%–27% mortality rate and significant long‐term neurological sequelae. Neuromodulation such as deep brain stimulation (DBS) targeting the anterior and centromedian thalamic nuclei has shown promise when the traditional ...
Mengxuan Tang +16 more
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The Structure of Global Attractors for Dissipative Zakharov Systems with Forcing on the Torus
, 2021 M. Burak Erdoğan +3 more
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Large diffusivity finite-dimensional asymptotic behaviour of a semilinear wave equation
Journal of Applied Mathematics, 2003 We study the effects of large diffusivity in all parts of the domain in a linearly damped wave equation subject to standard zero Robin-type boundary conditions.
Robert Willie
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