Article
Automation & Control Systems
Zhenfeng Shi, Daqing Jiang, Ningzhong Shi, Ahmed Alsaedi
Summary: In this paper, we propose a stochastic virus infection model with multitarget cells and exposed state, and theoretically prove the positivity and globality of the solution. We also obtain the existence and uniqueness of the ergodic stationary distribution of the stochastic system, as well as the exact expression of the probability density function around the quasi-endemic equilibrium.
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
(2022)
Article
Mathematics, Applied
Dongchen Shangguan, Zhijun Liu, Lianwen Wang, Ronghua Tan
Summary: Two types of stochastic epidemic models were studied, incorporating infectivity in the latent period and household quarantine measures. The results showed that stochastic perturbations and household quarantine measures have a significant impact on both periodicity and stationary distribution, as supported by numerical simulations.
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING
(2022)
Article
Physics, Fluids & Plasmas
Antonio Rodriguez, Fernando D. Nobre, Constantino Tsallis
Summary: In this study, we numerically investigate the temperature and duration of the initial quasi-stationary state of an isolated d-dimensional classical inertial alpha-XY ferromagnet with long-range two-body interactions. We find that the temperature depends on (alpha, d, U, N) with negligible changes for dimensions d = 1, 2, 3. Additionally, the scaling of temperature and duration with system size does not depend on U.
Article
Economics
Minsoo Jeong
Summary: This paper presents a novel approach to model financial time series that captures both persistency and long term stationarity. The provided statistical theory and empirical evidence support the existence and characteristic behavior of such series in real financial data.
ECONOMIC MODELLING
(2022)
Article
Engineering, Multidisciplinary
Truong Ngoc Cuong, Hwan-Seong Kim, Duy Anh Nguyen, Sam-Sang You
Summary: This paper introduces a novel approach utilizing system dynamics to address the dynamic behaviors and control synthesis of supply chain systems. By analyzing system data, it is found that the supply chain is affected by the bullwhip effect, and a novel control algorithm is proposed to stabilize shipment flows.
APPLIED MATHEMATICAL MODELLING
(2021)
Article
Astronomy & Astrophysics
Jian Wu, Curtis Struck, Bruce G. Elmegreen, Elena D'Onghia
Summary: Previous models have shown that a time-independent surface density distribution that follows an exponential divided by radius can be generated in a two-dimensional galaxy disc through stochastic scattering of stars with a constant inward scattering bias. In this study, we demonstrate that similar profiles can also arise from an outward scattering bias, even though the disc surface density decreases slowly over time due to a net stellar outflow. The trend towards a near-exponential surface profile remains robust, even when the scattering intensity has moderate radial and time dependences, as long as certain limitations on the scattering rates are met.
MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY
(2023)
Article
Statistics & Probability
Xiaotian Zheng, Athanasios Kottas, Bruno Sanso
Summary: The study introduces a framework for constructing stationary MTD models that extend beyond linear, Gaussian dynamics. Conditions for first-order strict stationarity are explored, with inference and prediction developed under the Bayesian framework with structured priors for mixture weights. Model properties are investigated analytically and via synthetic data examples, with real data applications illustrating Poisson and Lomax examples.
JOURNAL OF COMPUTATIONAL AND GRAPHICAL STATISTICS
(2022)
Article
Ecology
Graziella V. DiRenzo, David A. W. Miller, Blake R. Hossack, Brent H. Sigafus, Paige E. Howell, Erin Muths, Evan H. C. Grant
Summary: First-order dynamic occupancy models (FODOMs) capture ecological dynamics caused by covariates, but can be extended with a second-order Markov process to incorporate site memory when covariates are not available. This modeling framework allows for reliable inference on site occupancy, colonization, extinction, turnover, and detection probabilities.
Article
Mathematics, Applied
Miaomiao Gao, Daqing Jiang
Summary: This paper considers a Lotka-Volterra food chain chemostat model with distributed delay and stochastic perturbations, obtaining conditions for the existence of a stationary distribution where two species can coexist in the long term.
APPLIED MATHEMATICS LETTERS
(2022)
Article
Physics, Fluids & Plasmas
Antonio Rodriguez, Fernando D. Nobre, Constantino Tsallis
Summary: This study investigates a classical alpha-XY inertial model with N two-component rotators, showing the existence of a quasi-stationary state in the long-range interaction regime and a crossover to a Boltzmann-Gibbs temperature in a sufficiently long time. The duration of this quasi-stationary state is found to depend on N, alpha, and d, with a proposed scaling relationship that is proportional to N^(A(alpha/d))e^(-B(N)(alpha/d)^2). Furthermore, universal behavior in the exponent A(alpha/d) and the coefficient B(N) is observed when comparing the XY and Heisenberg cases.
Article
Statistics & Probability
Hanjun Zhang, Yongxiang Mo
Summary: In this paper, we obtain a concise result on the domain of attraction of the quasi-stationary distribution for the general lambda 0-positive absorbing Markov processes, including some existing results. We also apply our result to the multi-dimensional Ornstein-Uhlenbeck process and provide a subset of the domain of attraction for its minimal quasi-stationary distribution.
STATISTICS & PROBABILITY LETTERS
(2023)
Article
Mathematical & Computational Biology
Fahima Ouicher, Tewfik Kernane
Summary: This paper proposes two new approximations to calculate the joint quasi-stationary distribution (QSD) of susceptible and infected individuals in the SIR stochastic epidemic model, and derives the marginal QSD of infected individuals. These approximations depend on the basic reproduction number R-0 and assign a positive probability to all transient states in the QSD. Numerical comparisons are conducted to assess the accuracy of these approximations.
INTERNATIONAL JOURNAL OF BIOMATHEMATICS
(2022)
Article
Mathematics, Applied
Miaomiao Gao, Daqing Jiang, Tasawar Hayat, Ahmed Alsaedi
Summary: This paper investigates the dynamical behavior of a stochastic food chain chemostat model, proving the existence and uniqueness of the global positive solution and demonstrating the system has a unique ergodic stationary distribution through constructing suitable Lyapunov functions. It also discusses the extinction of microorganisms in two cases, and conducts numerical experiments to support the theoretical results.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(2021)
Article
Mathematics, Applied
Zhewen Chen, Xiaohui Liu, Chunjin Wei
Summary: This paper discusses a stochastic Kawasaki disease model perturbed by both white noise and color noise, and establishes the sufficient condition for the existence of a unique ergodic stationary distribution using Khasminskii's theorem and constructing stochastic Lyapunov functions with regime switching. The paper concludes with a brief summary.
APPLIED MATHEMATICS LETTERS
(2021)
Article
Statistics & Probability
Arnaud Guillin, Boris Nectoux, Liming Wu
Summary: In this work, we have proven the existence and uniqueness of a quasi-stationary distribution for hypoelliptic Hamiltonian dynamics of a system of N particles in R-d interacting with Lennard-Jones type potentials or with repulsive Coulomb potentials.
PROBABILITY THEORY AND RELATED FIELDS
(2023)
Correction
Medicine, General & Internal
Rami Yaari, Ehud Kaliner, Itamar Grotto, Guy Katriel, Jacob Moran-Gilad, Danit Sofer, Ella Mendelson, Elizabeth Miller, Amit Huppert
Article
Medicine, General & Internal
Rami Yaari, Ehud Kaliner, Itamar Grotto, Guy Katriel, Jacob Moran-Gilad, Danit Sofer, Ella Mendelson, Elizabeth Miller, Amit Huppert
Article
Multidisciplinary Sciences
R. Yaari, G. Katriel, L. Stone, E. Mendelson, M. Mandelboim, A. Huppert
JOURNAL OF THE ROYAL SOCIETY INTERFACE
(2016)
Article
Mathematics, Applied
Matania Ben-Artzi, Guy Katriel
NUMERISCHE MATHEMATIK
(2019)
Article
Statistics & Probability
Guy Katriel
STATISTICS & PROBABILITY LETTERS
(2019)
Article
Mathematics, Applied
Mark Elin, Fiana Jacobzon, Guy Katriel
JOURNAL OF EVOLUTION EQUATIONS
(2019)
Article
Mathematics
Mark Elin, Fiana Jacobzon, Guy Katriel
MICHIGAN MATHEMATICAL JOURNAL
(2019)
Article
Engineering, Industrial
Tamar Gadrich, Guy Katriel
Summary: This study discusses estimating the defect rate using observations from imperfect inspectors. By constructing two types of estimators and studying their performance, it is shown that the ML estimator outperforms other types of estimators. A comparison with the Capture-Recapture method is also conducted.
PROBABILITY IN THE ENGINEERING AND INFORMATIONAL SCIENCES
(2021)
Article
Automation & Control Systems
Guy Katriel
SYSTEMS & CONTROL LETTERS
(2020)
Article
Cell Biology
Nir Gavish, Rami Yaari, Amit Huppert, Guy Katriel
Summary: Israel was one of the first countries to administer mass vaccination and booster campaign. Their success in curbing the Delta variant resurgence influenced other countries' decision, highlighting the importance of rapid response and vaccinating younger age groups.
SCIENCE TRANSLATIONAL MEDICINE
(2022)
Article
Biochemical Research Methods
Nir Gavish, Guy Katriel
Summary: This study explores the optimal allocation of COVID-19 vaccines to children using mathematical and computational methods. It considers trade-offs between different goals and finds that vaccinating adolescents in the 10-19 age group is optimal, even when assuming they are less susceptible to the virus. The inclusion of the 0-9 age group in the optimal allocation depends on the basic reproduction number.
PLOS COMPUTATIONAL BIOLOGY
(2022)
Article
Biology
Guy Katriel
Summary: This study provides a mathematical exploration of the dispersal-induced growth phenomenon, characterizes the important factors and parameters conditions for generating the DIG effect.
JOURNAL OF MATHEMATICAL BIOLOGY
(2022)
Article
Biology
Nir Gavish, Guy Katriel
Summary: Optimizing vaccine allocations among different segments of the population is crucial for effective vaccination campaigns. Typically, priority is given to vaccinating individuals with the highest risk of being infected. However, this study shows that for leaky vaccines and highly transmissible infections, the optimal allocation strategy is to prioritize vaccinating those who are least likely to be infected.
PROCEEDINGS OF THE ROYAL SOCIETY B-BIOLOGICAL SCIENCES
(2022)
Article
Mathematics
Mark Elin, Fiana Jacobzon, Guy Katriel
RIVISTA DI MATEMATICA DELLA UNIVERSITA DI PARMA
(2019)