Lei Zhang

ORCID: 0000-0003-2513-0656
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About
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Research Areas
  • Mathematical and Theoretical Epidemiology and Ecology Models
  • Nonlinear Photonic Systems
  • Neural Networks Stability and Synchronization
  • Evolution and Genetic Dynamics
  • Nonlinear Differential Equations Analysis
  • Thermochemical Biomass Conversion Processes
  • Mathematical Biology Tumor Growth
  • Fractional Differential Equations Solutions
  • Differential Equations and Numerical Methods
  • Opinion Dynamics and Social Influence
  • Catalytic Processes in Materials Science
  • Landslides and related hazards
  • Stochastic processes and statistical mechanics
  • Neural Networks and Reservoir Computing
  • Nonlinear Waves and Solitons
  • Neural Networks and Applications
  • Photonic and Optical Devices
  • Advanced Photocatalysis Techniques
  • Lignin and Wood Chemistry
  • Advanced Wireless Communication Techniques
  • Nonlinear Dynamics and Pattern Formation
  • Transportation Planning and Optimization
  • Advanced Mathematical Physics Problems
  • PAPR reduction in OFDM
  • TiO2 Photocatalysis and Solar Cells

Shaanxi Normal University
2023-2025

Harbin Institute of Technology
2013-2025

Hohai University
2021

Memorial University of Newfoundland
2017-2021

Heilongjiang University of Chinese Medicine
2020

University of Maryland, College Park
2018

University of Science and Technology of China
2017

Harbin University
2014

Chengdu University
2011

Sichuan University
2011

A generalized Krein-Rutman theorem for a strongly positive bounded linear operator whose spectral radius is larger than essential established: the of an algebraically simple eigenvalue with eigenvector and other eigenvalues are less radius.

10.1137/16m1108832 article EN SIAM Journal on Mathematical Analysis 2017-01-01

The concepts of selectable and unselectable sets are proposed to describe some interesting dynamical properties a class recurrent neural networks (RNNs) with saturated piecewise linear transfer function. A set neurons is said be if it can co-unsaturated at stable equilibrium point by external input. not selectable, i.e., such never any regardless what the input is. importance that they enable new perspective memory in RNNs. Necessary sufficient conditions for existence obtained. As an...

10.1109/tnn.2011.2132762 article EN IEEE Transactions on Neural Networks 2011-05-25

Related DatabasesWeb of Science You must be logged in with an active subscription to view this.Article DataHistorySubmitted: 11 September 2020Accepted: 26 August 2021Published online: 07 December 2021Keywordsasymptotic behavior, reaction and diffusion, periodic systems, basic reproduction ratio, principal eigenvalueAMS Subject Headings35K57, 35P99, 92D25Publication DataISSN (print): 0036-1410ISSN (online): 1095-7154Publisher: Society for Industrial Applied MathematicsCODEN: sjmaah

10.1137/20m1366344 article EN SIAM Journal on Mathematical Analysis 2021-01-01

Wheat straw, a typical agricultural solid waste, was employed to clarify the effects of torrefaction on structural features and combustion reactivity biomass. Two temperatures (543 K 573 K), four atmospheres (argon, 6 vol.% O2, dry flue gas raw gas) were selected. The elemental distribution, compositional variation, surface physicochemical structure each sample identified using analysis, XPS, N2 adsorption, TGA FOW methods. Oxidative tended optimize fuel quality biomass effectively,...

10.3390/molecules28124732 article EN cc-by Molecules 2023-06-13

It is well known that, in the study of dynamical properties nonlinear evolution system with nonlocal dispersals, principal eigenvalue linearized play an important role. However, due to lack compactness, order obtain existence eigenvalue, certain additional conditions must be attached coefficients. In this paper, we approximate generalized dispersal cooperative and irreducible system, which admits Collatz-Wielandt characterization, by constructing monotonic upper lower control systems...

10.48550/arxiv.2502.09917 preprint EN arXiv (Cornell University) 2025-02-14

It is well known that, in the study of dynamical properties nonlinear reaction-diffusion systems, sign principal eigenvalue linearized system plays an important role. However, for nonlocal dispersal due to lack compactness, essential spectrum appear, and may not exist. In this paper, by constructing monotonic upper lower control we obtain generalized cooperative irreducible demonstrate that same role as usual eigenvalue.

10.48550/arxiv.2502.10936 preprint EN arXiv (Cornell University) 2025-02-15

Ocean waves represent a vast, untapped source of renewable energy, yet current wave energy harvesting technologies often struggle with efficiency, cost, and scale. Triboelectric nanogenerators (TENGs) have emerged as promising devices for mechanical harvesting, but their application in conversion remains limited by challenges design performance. Here, we present novel swing-arm triboelectric nanogenerator (SA-TENG) specifically designed harvesting. Our device employs pendulum-inspired...

10.1021/acsami.4c22207 article EN ACS Applied Materials & Interfaces 2025-03-13

10.1016/j.jde.2018.08.022 article EN publisher-specific-oa Journal of Differential Equations 2018-08-14

We present finite difference schemes for Burgers equation and Burgers-Fisher equation. A new version of exact scheme is proposed using the solitary wave solution. Then nonstandard are constructed to solve two equations. Numerical experiments presented verify accuracy efficiency such NSFD schemes.

10.1155/2014/597926 article EN cc-by Journal of Applied Mathematics 2014-01-01

An adaptive image-processing method for CT images of asphalt mixture is proposed in this paper. Different methods are compared according to the error analysis calculated between real gradation and 3D reconstruction gradation. As revealed by test results, was effective carrying out different brightness homogenization processes each image. The Wiener filter with 7 × size able produce a better noise reduction effect without compromising image sharpness. Among three methods, performed best...

10.3390/ma15207364 article EN Materials 2022-10-20

Curing early age concrete (hereinafter referred to as EAC) with CO2 a new method for capturing and storing can not only result in energy savings emission reductions, but also improve the performance of shorten curing time, which leads various application prospects. In this paper, we collect existing research results at home abroad explain reaction mechanisms CO2-cured EACC); summarize effects external factors such carbonation pressure concentration, intrinsic (such active admixture,...

10.3390/buildings13040957 article EN cc-by Buildings 2023-04-03

Nb<sub>2</sub>O<sub>5</sub>-doped TiO<sub>2</sub> nanotube arrays were fabricated by anodization. Nb's beneficial effects exhibit an improved charge separation efficiency, resulting in higher photocatalytic/photoelectrocatalytic activities.

10.1039/c4ra12180e article EN RSC Advances 2014-12-23

Abstract This work develops exact finite-difference schemes for the two-dimensional nonlinear coupled viscous Burgers equation using analytic solution. We extend explicit nonstandard on basis of to solve equation. Numerical examples are presented verify efficiency and accuracy methods. MSC: 39A10, 65L12, 74H15.

10.1186/1687-1847-2014-122 article EN cc-by Advances in Difference Equations 2014-05-06

Asymptomatic infection and transmission are common for quite a few directly or indirectly transmitted diseases such as COVID-19, cholera, Zika fever. In this paper, we propose susceptible-infective-asymptomatic-recovered patch model to address the influence of asymptomatic infections on spatial spread infectious diseases. The multipatch basic reproduction number ${\mathcal{R}}_0$ is defined shown be threshold quantity disease eradication persistence. Namely, disappears if...

10.1137/21m1398434 article EN SIAM Journal on Applied Mathematics 2022-05-26

The purpose of this study is to propose a microeconomic model for optimizing government-sponsored transit incentive program, where rider receives certain monetary reward once trip completed. demand pattern considered many-to-many, which means riders travel from multiple origins destinations. Travelers are grouped by their socio-demographic characteristics and incentives can be customized each group. Analytical relations derived the optimality conditions optimization problem numerical results...

10.1177/0361198118775875 article EN Transportation Research Record Journal of the Transportation Research Board 2018-05-30

In this paper, we extend the theory of basic reproduction ratios $ \mathcal{R}_0 in [Liang, Zhang, Zhao, JDDE], which concerns with abstract functional differential systems a time-periodic environment. We prove threshold dynamics, that is, sign \mathcal{R}_0-1 determines dynamics associated linear system. also propose direct and efficient numerical method to calculate $.

10.3934/dcdsb.2019166 article EN Discrete and Continuous Dynamical Systems - B 2017-01-01

The use of a coal-based energy structure generates large amount CO2 and NOx. numerous emissions from these agents result in acid rain, photochemical smog, haze. This environmental problem is considered one the greatest challenges facing humankind this century. Preheating combustion technology an essential method for lowering NO. In research, char prepared O2/CO2 O2/H2O atmospheres was employed to reveal effects addition oxidizing agent on characteristics char. structural features preheated...

10.3390/molecules28041638 article EN cc-by Molecules 2023-02-08

.This paper is devoted to the study of basic reproduction ratios \(\mathcal{R}_0\) for time-periodic homogeneous evolution systems. We introduce definition and show that sign \(\mathcal{R}_0-1\) determines stability zero solution such a system. also characterize give numerical method compute it. Then we apply developed theory two population models obtain threshold type results on their global dynamics in terms .Keywordsbasic ratiohomogeneous operatorstime-periodic systemsthreshold...

10.1137/22m1531865 article EN SIAM Journal on Applied Mathematics 2023-09-15
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