A5101683763- Mathematical and Theoretical Epidemiology and Ecology Models
- Evolution and Genetic Dynamics
- Mathematical Biology Tumor Growth
- Evolutionary Game Theory and Cooperation
- Nonlinear Dynamics and Pattern Formation
- Advanced Differential Equations and Dynamical Systems
- Stochastic processes and statistical mechanics
- Stability and Controllability of Differential Equations
- Fractional Differential Equations Solutions
- Nonlinear Differential Equations Analysis
- Advanced Mathematical Modeling in Engineering
- Differential Equations and Numerical Methods
- Animal Ecology and Behavior Studies
- Plant Parasitism and Resistance
- COVID-19 epidemiological studies
- Opinion Dynamics and Social Influence
- Synthesis and properties of polymers
- Insect-Plant Interactions and Control
- Gene Regulatory Network Analysis
- Silicone and Siloxane Chemistry
- Navier-Stokes equation solutions
- Prostate Cancer Diagnosis and Treatment
- Economic theories and models
- Mosquito-borne diseases and control
- Guidance and Control Systems
Tiangong University
2014-2024
Bridge University
2023
Wuhan Ship Development & Design Institute
2015
Beijing Normal University
2012-2014
Abstract This article is dedicated to investigating limit behaviours of invariant measures with respect delay and system parameters 3D Navier–Stokes–Voigt equations. Firstly, the well-posedness such a obtained on arbitrary open sets that satisfy Poincaré inequality, then unique minimal pullback attractor attained by using energy equation method asymptotic compactness property. Furthermore, we construct family Borel probability measures, which are supported attractors. Specifically, when...
Considering that the ecological system is often deeply perturbed by human exploiting activities, this paper deals with a prey–predator model prey refuge in which both species are independently harvested. First, some sufficient conditions for global stability of equilibria obtained, and existence uniqueness limit cycles established. Our results indicate over-exploitation would result extinction population an appropriate harvesting strategy should ensure sustainability population, line...
This article deals with a diffusive cooperative model state-dependent delay which is assumed to be an increasing function of the population density lower and upper bounds. For DDE system, positivity boundedness solutions are firstly given. Using comparison principle equations obtained, stability criterion analyzed both from local global points view. When diffusion properly introduced, existence traveling waves obtained by constructing pair upper–lower Schauder's fixed point theorem....
Based on literature [J. Q. Li, Z. E. Ma and F. Zhang, Stability analysis for an epidemic model with stage structure, J. Appl. Math. Comput. 9 (2008) 1672–1679], incorporating the recovery of infected population length infectious periods, a modified disease SIS delay was investigated. First, criteria keeping stability were given. Next, in order to lower level individuals minimize cost treatment, mixed, early late therapeutic strategies introduced into our model, respectively. Then we...
This paper deals with a diffusive stage structured model withstate-dependent delay which is assumed to be an increasing functionof the population density. Compared constant delay, thestate--dependent makes dynamic behavior more complex. Forthe state--dependent system, dependentof diffusion coefficients, while equilibrium state ofconstant system not destabilized by diffusion. Throughcalculating minimum wave speed, we find that sloweddown state-dependent delay. Then, existence of...