A5070135549- Traffic control and management
- Transportation Planning and Optimization
- Autonomous Vehicle Technology and Safety
- Evacuation and Crowd Dynamics
- Mycorrhizal Fungi and Plant Interactions
- Traffic Prediction and Management Techniques
- Microbial Community Ecology and Physiology
- Soil Carbon and Nitrogen Dynamics
- Stochastic processes and financial applications
- COVID-19 epidemiological studies
- Species Distribution and Climate Change
- Simulation Techniques and Applications
- Navier-Stokes equation solutions
- Mathematical Dynamics and Fractals
- Ecology and Vegetation Dynamics Studies
- Healthcare Systems and Reforms
- Finite Group Theory Research
- Vector-Borne Animal Diseases
- Agricultural risk and resilience
- Vehicle emissions and performance
- Mathematical and Theoretical Epidemiology and Ecology Models
- Evolution and Genetic Dynamics
- Biocrusts and Microbial Ecology
- Advanced Queuing Theory Analysis
- Zoonotic diseases and public health
Amherst College
2024-2025
Yue Bei People's Hospital
2024
Shantou University
2024
Inner Mongolia University
2022-2024
Arizona State University
2020-2023
Rutgers Sexual and Reproductive Health and Rights
2021
Rutgers, The State University of New Jersey
2021
This contribution analyzes the widely used and well-known “intelligent driver model” (briefly IDM), which is a second-order car-following model governed by system of ordinary differential equations. Although this was intensively studied in recent years for properly capturing traffic phenomena braking behavior, rigorous study well-posedness has, to our knowledge, never been performed. First, it shown that, specific class initial data, vehicles' velocities become negative or even diverge...
<abstract><p>In this contribution we study the "Bando-follow leader" car-following model, a second order ordinary differential equation, for its well-posedness. Under suitable conditions, provide existence and uniqueness results, also bounds on higher derivatives, i.e., velocity acceleration. We then extend result to "reaction" delay case where is instantiated in reacting leading vehicle's position velocity. prove that solution of delayed model converges undelayed when zero...
This work presents an integrated framework of: vehicle dynamics models, with a particular attention to instabilities and traffic waves; energy accurate values for strongly unsteady driving profiles; sparse Lagrangian controls via automated vehicles, focus on that can be executed existing technology such as adaptive cruise control systems. serves key building block in developing strategies human-in-the-loop flow smoothing real highways. In this contribution, we outline the fundamental merits...
Grassland desertification has become one of the most serious environmental problems in world. Grasslands are focus research because their ecological vulnerability. Their application on different grassland grades remains limited. Therefore, this study, 19 vegetation indices were calculated for 30 unmanned aerial vehicle (UAV) visible light images at five Mu Us Sandy. Fractional Vegetation Coverage (FVC) with high accuracy was obtained through Support Vector Machine (SVM) classification, and...
Multilane traffic is hard to model because of its hybrid nature: continuous dynamics on each lane and discrete event for lane-change. We design a system, where the lane-changing mechanism has three components: safety, incentive cool-down time. flow using two populations: human-driven vehicles autonomous vehicles. Recently, lot attention was given control with consider mean-field as one population (human-driven) pass limit. Gamma-convergence proven optimal problems at microscopic scale ones,...
This review aims to present recent developments in modeling and control of multiagent systems. A particular focus is set on crowd dynamics characterized by complex interactions among agents, also called social interactions, large-scale Specifically, a each individual agent interacts with field generated the other agents environment. These systems can be modeled at microscopic scale ordinary differential equations, while an alternative description mesoscopic given partial equation for...
<abstract><p>In the present work we model multi-lane traffic flow in presence of two population vehicles: cars and trucks. We first develop a finite-dimensional hybrid system which rely on continuous Bando-Follow-the-Leader dynamics coupled with discrete events motivated by lane-change maneuvers. Then rigorously prove that mean-field limit is given Vlasov-type PDE source terms generated maneuvers human-driven vehicles.</p></abstract>
Exploring the change and maintaining mechanism of plant diversity is great significance for guiding restoration degraded ecosystems. However, how taxonomic, functional, phylogenetic during long-term ecosystem process their driving factors remain unclear.Based on 35-year time gradient aerial seeding in Mu Us sandy land, this study explored changes factors.The results showed that consistent response with restoration, all which increased first then tended to a saturation state middle (14...
As one of the countries with highest desertification in world, sand ecological restoration and management have been given great attention China. However, a systematic comprehensive review sand-restoration technology is still lacking. Therefore, “sand technology” “China” as keywords, we reviewed 226 English articles 512 Chinese based on Web Science China National Knowledge Infrastructure data sources from 1990 to 2021. The results showed that (1) number published about increased during last...
This article aims to study coupled mean-field equation and ODEs with discrete events motivated by vehicular traffic flow. Precisely, multi-lane flow in presence of human-driven autonomous vehicles is considered, the possibly influenced external policy makers. First a finite-dimensional hybrid system developed based on continuous Bando-Follow-the-Leader dynamics due lane-change maneuvers. Then limit rigorously derived for vehicles. The microscopic maneuvers generates source term PDE. leads an...
This article aims to study coupled mean-field equation and ODEs with discrete events motivated by vehicular traffic flow. Precisely, multi-lane flow in presence of human-driven autonomous vehicles is considered, possibly influenced external policymakers. First, a finite-dimensional hybrid system developed based on the continuous Bando-Follow-the-Leader dynamics due lane-change maneuvers. Then limit rigorously derived for vehicles. The microscopic maneuvers generate source term PDE. leads an...
This article studies the optimal control of autonomous vehicles over a given time horizon to smooth traffic. We model dynamics mixed-autonomy platoon as system non-linear ODEs, where acceleration human-driven is governed by car-following model, and be controlled. formulate task an problem propose computational method solve it. Our approach uses adjoint formulation compute gradients optimization explicitly, resulting in more accurate efficient numerical computations. The are then used using...
<p style='text-indent:20px;'>Genetic variations in the COVID-19 virus are one of main causes pandemic outbreak 2020 and 2021. In this article, we aim to introduce a new type model, system coupled with ordinary differential equations (ODEs) measure equation (MDE), stemming from classical SIR model for variants distribution. Specifically, evolution susceptible <inline-formula><tex-math id="M1">\begin{document}$ S $\end{document}</tex-math></inline-formula> removed...
We revisit a well-established model for highly re-entrant semiconductor manufacturing systems, and analyze it in the setting of states, in- outfluxes being Borel measures. This is motivated by lack optimal solutions $L^1$-setting transitions from smaller to larger equilibrium with zero backlog. Key innovations involve dealing discontinuous velocities presence point masses, finite domain outfluxes. Taking Lagrangian view, we establish existence uniqueness formulate notion weak solution. prove...