A5100429164- Mathematical and Theoretical Epidemiology and Ecology Models
- Nonlinear Differential Equations Analysis
- Evolution and Genetic Dynamics
- Differential Equations and Numerical Methods
- Fractional Differential Equations Solutions
- Mathematical Biology Tumor Growth
- Advanced Differential Equations and Dynamical Systems
- Nonlinear Dynamics and Pattern Formation
- Stability and Controllability of Differential Equations
- COVID-19 epidemiological studies
- Advanced Mathematical Modeling in Engineering
- Stochastic processes and statistical mechanics
- Nonlinear Partial Differential Equations
- Numerical methods for differential equations
- Fluid Dynamics and Vibration Analysis
- Quantum optics and atomic interactions
- Advanced Mathematical Physics Problems
- Industrial Vision Systems and Defect Detection
- Quantum Information and Cryptography
- Finite Group Theory Research
- Model Reduction and Neural Networks
- 3D Surveying and Cultural Heritage
- Structural Health Monitoring Techniques
- 3D Shape Modeling and Analysis
- Advanced Algebra and Geometry
China University of Petroleum, East China
2025
Lanzhou University
2015-2024
Gansu Agricultural University
2024
Jiaying University
2024
Tongji University
2020-2024
Lanzhou University of Finance and Economics
2013-2023
China Railway 18th Bureau Group Corporation
2023
Dalian University of Technology
2021-2023
China Railway Group (China)
2023
Chinese Institute for Brain Research
2023
We obtain full information about the existence and non-existence of travelling wave solutions for a general class diffusive Kermack–McKendrick SIR models with non-local delayed disease transmission. show that this is determined by basic reproduction number corresponding ordinary differential model, minimal speed explicitly delay (such as latent period) non-locality in transmission, spatial movement pattern infected individuals. The difficulty lack order-preserving property system, we...
This paper is concerned with entire solutions for bistable reaction-diffusion equations nonlocal delay in one-dimensional spatial domain. Here the are defined whole space and all time $t\in \mathbb {R}$. Assuming that equation has an increasing traveling wave solution nonzero speed using comparison argument, we prove existence of which behave as two coming from both ends $x$-axis annihilating at a finite time. Furthermore, show such unique up to space-time translations Liapunov stable. A key...
In this paper, we consider a Kermack-McKendrick epidemic model withnonlocal dispersal. We find that the existence and nonexistence oftraveling wave solutions are determined by reproduction number.To prove of nontrivial traveling solutions, weconstruct an invariant cone in bounded domain with initialfunctions being defined on, apply Schauder's fixed point theoremas well as limitingargument. Here, compactness support set dispersal kernel is needed when passing to unbounded proof. Moreover,...
Background: Doxorubicin (DOX), a broad-spectrum chemotherapy drug, is clinically employed to treat cancers especially for breast cancer and lung cancer. But its clinical applications are limited by the dose-dependent cardiac toxicity. Resveratrol (Res), polyphenolic antitoxin, has been proved be capable of improving cardiomyocyte calcium cycling up-regulating SIRT-1-mediated deacetylation inhibit DOX-induced cardiotoxicity. Purpose: The objective this study was develop solid lipid...
We construct new types of entire solutions for a class monostable delayed lattice differential equations with global interaction by mixing heteroclinic orbit the spatially averaged ordinary traveling wave fronts different speeds. also establish uniqueness and continuous dependence such an solution on parameters, as speeds, discrete Fisher-KPP equation.
The fault fracture body, consisting of faults, zones, cracks, and the matrix, plays a crucial role in controlling oil gas accumulation. Understanding its spatial distribution analyzing situ stress field are essential for optimizing well design fracturing operations. This study integrates geological, logging, seismic data, employs advanced techniques such as ant tracking to establish skeletal model body. Reverse modeling optimization reconstruction used construct three-dimensional...
LECSIM is a highly efficient logic simulator which integrates the advantages of event driven interpretive simulation and levelized compiled simulation. Two techniques contribute to high efficiency. First it employs zero-delay model with scheduling eliminate most unnecessary evaluations. Second, compiles central scheduler into simple local segments reduces overhead scheduling. Experimental results show that runs about 8-77 time faster than traditional unit-delay event-driven simulator. also...
This paper is concerned with the existence, uniqueness and stabilityof traveling curved fronts for reaction-diffusion bistable systemsin two-dimensional space. By establishing comparison theorem andconstructing appropriate supersolutions subsolutions, we provethe existence of fronts. Furthermore, show thatthe front globally stable. Finally, apply resultsto three important models in biology.