A5101969840- Mathematical and Theoretical Epidemiology and Ecology Models
- Evolution and Genetic Dynamics
- COVID-19 epidemiological studies
- Numerical methods for differential equations
- Face and Expression Recognition
- Retinal Imaging and Analysis
- Advanced Graph Neural Networks
- Image and Signal Denoising Methods
- Advanced Control Systems Optimization
- Nonlinear Waves and Solitons
- Stochastic processes and financial applications
- Gene expression and cancer classification
- Stability and Controllability of Differential Equations
- Remote-Sensing Image Classification
- Medical Image Segmentation Techniques
- Mosquito-borne diseases and control
- Control Systems and Identification
- Fractional Differential Equations Solutions
- Nonlinear Photonic Systems
- Ecosystem dynamics and resilience
- Context-Aware Activity Recognition Systems
- Sparse and Compressive Sensing Techniques
- Electromagnetic Simulation and Numerical Methods
- Differential Equations and Numerical Methods
- Cardiovascular Health and Disease Prevention
Hunan University of Finance and Economics
2022-2024
Harbin Institute of Technology
2010-2023
Southwestern University of Finance and Economics
2019-2020
William & Mary
2017
Williams (United States)
2017
Hunan University of Arts and Science
2017
The aim of this paper is to construct a non-standard finite difference (NSFD) scheme that can be used calculate numerical solutions for an epidemic model with vaccination. Here, the NSFD method employed derive set equations We show when , discretized preserves positivity and global dynamics continuous model. Numerical simulation illustrates effectiveness our results.
This work deals with the relationship between a dengue disease transmission model and numerical methods for its computer simulations, viewed as discrete dynamical systems. Dynamic consistency is defined respect to particular properties of system generally these will vary from one another. Here, this concept means that discretization scheme preserves correct number stability equilibria, positivity boundedness solutions corresponding continuous-time model. Using discrete-time analogue Lyapunov...
In this paper, a discretized multigroup SIR epidemic model is constructed by applying nonstandard finite difference schemes toa class of continuous time models. This discretization scheme has the same dynamics withthe original differential system independent step, such as positivity solutions and stability equilibria. Discrete-time analogue Lyapunov functions introduced to show that global asymptotic fully determined basic reproductionnumber $R_0$.
One major limiting factor that prevents the accurate delineation of vessel boundaries has been presence blurred and vessel-like structures. Overcoming this limitation is exactly what we are concerned about in paper. We describe a very different segmentation method based on cascade-AdaBoost-SVM classifier. This classifier works with axis + cross-section model, which constrains around vessel. potential to be both physiologically computationally effective. To further increase accuracy, organize...
We investigate a class of multigroup dengue epidemic model. show that the global dynamics are determined by basic reproductive number R 0 . present when ≤ 1, there is unique disease‐free equilibrium which globally asymptotically stable; > exists endemic and it stable proved graph‐theoretic approach to method Lyapunov function.
Older adults want to remain independent with dignity for as long possible, especially the solitary older adults. Activity recognition plays an essential role in elderly care and rehabilitation by detecting activity shifts among population. Despite over a decade of research development recognition, accurate reliable systems use are few. We propose automatic data collecting labeling system addressing annotation issue, novel coarse-to-fine activities daily living(ADLs) algorithm adults,...
Abstract In this paper, a NonStandard Finite Difference (NSFD) scheme is constructed, which can be used to determine numerical solutions for an epidemic model with vaccination. Here the NSFD method employed derive set of difference equations We show that have same dynamics as original differential system, such positivity and stability equilibria, without being restricted by time step. Our proof global utilizes Lyapunov functions. Numerical simulation illustrates effectiveness our results
In this paper, a semi-explicit scheme is constructed for the space-independent FitzHugh–Nagumo equation. Qualitative stability analysis shows that dynamically consistent with space independent Then, extended to construct new finite difference full equation in one- and two-space dimensions, respectively. According theory of M-matrices, it proved these schemes are able preserve positivity boundedness solutions corresponding equations arbitrary step sizes. The consistency numerical also...
This paper presents a novel region-based active contour model for image segmentation in variational level set formulation.We define local discriminant criterion on the basis of global and model.The objective function this is thereafter minimized via method.By introducing to separate background foreground regions, our not only achieves accurate results, but also robust initialization.Extensive experiments are reported demonstrate that method holds higher accuracy more initialization...
In this note, a non‐standard finite difference (NSFD) scheme is proposed for an advection‐diffusion‐reaction equation with nonlinear reaction term. We first study the diffusion‐free case of equation, that is, advection‐reaction equation. Two exact schemes are constructed by method characteristics. As these complicated and not convenient to use, NSFD derived from scheme. Then, combined space‐approximation diffusion term provide This new could preserve fixed points, positivity, boundedness...
This study delves into the noise-to-state stability (NSS) for a class of random reaction-diffusion systems (RRDSs) driven by second-order moment process. The main objective is to develop theoretical framework analyzing NSS RRDSs. At first, novel definition RRDSs introduced. Secondly, based on Lyapunov method, criterion are established in sense using Fubini's theorem and Wirtinger's inequality. Then, utilizing findings, control issues addressed designing boundary controller choosing integral...
One of the obstacles that prevent accurate delineation vessel boundaries is presence pathologies, which results in obscure and vessel-like structures. Targeting this limitation, we present a novel segmentation method based on multiple Hidden Markov Models. This works with axis + cross-section model, constrains classifier around vessel. The constraint gives our potential to be both physiologically computationally effective. Focusing pathological vessels, reap benefits redundant information...
Point set registration is the key in many scientific disciplines. Target at several challenges (e.g. initial registration, outliers, missing data, and local trap), we propose a robust method for two point sets using hierarchical Bayesian model, which combined with M