A5078763679- Mathematical and Theoretical Epidemiology and Ecology Models
- Evolution and Genetic Dynamics
- Mathematical Biology Tumor Growth
- Fractional Differential Equations Solutions
- Stability and Controllability of Differential Equations
- Nonlinear Differential Equations Analysis
- Nonlinear Dynamics and Pattern Formation
- Evolutionary Game Theory and Cooperation
- Stochastic processes and statistical mechanics
- COVID-19 epidemiological studies
- Advanced Mathematical Physics Problems
- Adaptive Control of Nonlinear Systems
- Differential Equations and Numerical Methods
- Nonlinear Photonic Systems
- Advanced Control Systems Optimization
- Navier-Stokes equation solutions
- Advanced Differential Equations and Dynamical Systems
- Neural Networks Stability and Synchronization
- Insect symbiosis and bacterial influences
- Viral Infections and Vectors
- Animal Ecology and Behavior Studies
- Nonlinear Waves and Solitons
- Mathematical Dynamics and Fractals
- Opinion Dynamics and Social Influence
- Model Reduction and Neural Networks
Foshan University
2016-2025
South China Normal University
2008-2018
Shanghai Jiao Tong University
2011-2013
In this article, we apply the active disturbance rejection control (ADRC) to output tracking of a class lower triangular nonlinear systems subject mismatched bounded stochastic disturbances unknown statistic characteristics and nonvanishing at origin. A major obstacle is that paths are nowhere differentiable almost surely which causes cannot be refined into input channel by usual way state transformation. To overcome obstacle, set second-order extended observers first designed estimate, in...
In this paper, we study a delayed SIRS model with nonlocal diffusion. The well posedness of the is investigated. Furthermore, concern problem traveling wave solutions. By using partial quasi-monotone condition, cross-iteration scheme and fixed-point theorem, sufficient conditions are derived for existence waves connecting two equilibria which depends on pair upper solution lower solution. We in fact construct concretely to guarantee waves.
In this article, the well-posedness of initial valueproblem, existence traveling wavefronts and asymptotic speed propagation for aSIR epidemic model with stage structure nonlocal response are studied.We further show that minimum wave in fact coincides theasymptotic propagation.
We propose and investigate a stage-structured SLIRM epidemic model with latent period in spatially continuous habitat. first show the existence of semi-travelling waves that connect unstable disease-free equilibrium as wave coordinate goes to − ∞, provided basic reproduction number $\mathcal {R}_0 > 1$ $c c_*$ for some positive $c_*$ . then use combination asymptotic estimates, Laplace transform Cauchy's integral theorem persistence waves. Based on persistent property, we construct...
Extended state observer (ESO) is the key part of active disturbance rejection control, a new control strategy motivated and developed highly from PID's model-free feature. In this paper, both constant gain ESO time-varying are proposed for class multi-input multi-output uncertain stochastic nonlinear systems subject to vast uncertainties. The total uncertainties in each subsystem including unmodeled dynamics, unknown inverse external without known statistical characteristics, interactions...
<p style='text-indent:20px;'>This paper is concerned with the wave phenomena in a compartmental epidemic model nonlocal dispersal and relapse. We first show well-posedness of solutions for such problem. Then, terms basic reproduction number speed, we establish threshold result which reveals existence non-existence strong traveling waves accounting phase transitions between disease-free equilibrium endemic steady state. Further, clarify characterize minimal speed waves. Finally,...
In this paper, we consider atime-delayed and nonlocal population model with migration relaxthe monotone assumption for the birth function. We study globaldynamics of system when spatial domain is bounded. Ifthe unbounded, investigate spreading speed$c^*$, non-existence traveling wave solutions speed$c\in(0,c^*)$, existence $c\geqc^*$, uniqueness $c>c^*$.It shown that speed coincides minimal wavespeed waves.
We study the stability of steady states and establish existence traveling waves for a diffusive host-vector epidemic with nonlocal spatiotemporal interaction. develop techniques contracting-convex-sets, limit argument, singular perturbation fixed point theorems.