A5102941357- Mathematical and Theoretical Epidemiology and Ecology Models
- Evolution and Genetic Dynamics
- COVID-19 epidemiological studies
- Nonlinear Differential Equations Analysis
- Fractional Differential Equations Solutions
- Mathematical Biology Tumor Growth
- Advanced Mathematical Modeling in Engineering
- Advancements in Solid Oxide Fuel Cells
- Stochastic processes and statistical mechanics
- Differential Equations and Numerical Methods
- Catalysts for Methane Reforming
- Fuel Cells and Related Materials
- Stability and Controllability of Differential Equations
- Evolutionary Game Theory and Cooperation
- Nonlinear Partial Differential Equations
- Membrane Separation and Gas Transport
- Flavonoids in Medical Research
- Advanced Differential Equations and Dynamical Systems
- Bioactive natural compounds
- Service and Product Innovation
- Geomechanics and Mining Engineering
- Firm Innovation and Growth
- Face and Expression Recognition
- Carbon Dioxide Capture Technologies
- Advanced Decision-Making Techniques
Jilin University of Finance and Economics
2013-2024
Dalian Institute of Chemical Physics
2024
Xi'an Shiyou University
2022
Shanghai Jiao Tong University
2020
Shanghai Ninth People's Hospital
2020
Hangzhou Dianzi University
2015
Northeast Normal University
2009-2013
We study the dynamics of a stochastic SIQR epidemic disease with quarantine-adjusted incidence in this article. In order to find sufficient conditions for ergodicity and extermination model, we construct suitable Lyapunov functions results model. From results, that when white noise is relatively large, infectious diseases will become extinct; also shows intervention play an important part controlling spread disease.
In this paper, we present a regime-switching SIR epidemic model with ratio-dependent incidence rate and degenerate diffusion. We utilize the Markov semigroup theory to obtain existence of unique stable stationary distribution. prove that densities distributions solutions can converge in L1 an invariant density under certain condition. Moreover, sufficient conditions for extinction disease, which means disease will die out probability one, are given two cases. Meanwhile, threshold parameter...
We consider the properties of Green’s function for nonlinear fractional differential equation boundary value problem:<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:msubsup><mml:mrow><mml:mi mathvariant="bold">D</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn><mml:mo>+</mml:mo></mml:mrow><mml:mrow><mml:mi>α</mml:mi></mml:mrow></mml:msubsup><mml:mi>u</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>t</mml:mi><mml:mo...
The goal of this paper is to introduce and initiate a study stochastic SIRS epidemic model with standard incidence which perturbed by both white telegraph noises. We first show persistence in the mean then establish sufficient conditions for extinction disease. Moreover, case persistence, we obtain existence positive recurrence solutions means structuring suitable Lyapunov function regime switching. Meanwhile, threshold between system also obtained. Finally, test our theory conclusion simulations.
We establish the existence of periodic solutions second order nonautonomous singular coupled systems x ′′ + a 1 ( t ) = f , y )) e for a.e. ∈ [0, T ], 2 ]. The proof relies on Schauder′s fixed point theorem.
This paper concerns a stochastic Lotka-Volterra model with two predators competing for one prey. The sufficient conditions which guarantee the principle of competitive exclusion this perturbed are given by using Lyapunov analysis methods. Numerical simulations set parameter values presented to illustrate analytical findings.
In this paper, we propose a stochastic virus infection model with nonlytic immune response, where the transmission rate is realistically modeled as being subject to continuous fluctuations, represented by Ornstein–Uhlenbeck process. Firstly, establish existence and uniqueness of global solution for its invariant set, ensuring robustness applicability model. Next, constructing appropriate Lyapunov functions, derive sufficient conditions extinction stationary distribution These elucidate key...
The balanced Boolean functions satisfying the strict avalanche criterion (SAC) are widely used in stream cipher and block cipher. By introducing representation matrix of transition function function, we provide a special method for seeking SAC. Moreover, strong (SSAC) is defined general formula number SSAC obtained.
In this study, a stochastic SIRS epidemic model that features constant immigration and general incidence rate is investigated. Our findings show the dynamical behaviors of system can be predicted using threshold $ R_0^S $. If < 1 $, disease will become extinct with certainty, given additional conditions. Conversely, if > has potential to persist. Moreover, necessary conditions for existence stationary distribution positive solution in event persistence determined. theoretical are validated...