Stochastic Delay Population Dynamics under Regime Switching: Global Solutions and Extinction by Zheng Wu, Hao Huang, Lianglong Wang

“…By using generalized Itô formula, Gronwall inequality and Young’s inequality, some sufficient conditions for existence of global positive solutions and stochastically ultimate boundedness are obtained, respectively. …”
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Observer-Based Robust Control for Switched Stochastic Systems with Time-Varying Delay by Guoxin Chen, Zhengrong Xiang, Hamid Reza Karimi

“…This paper investigates the problem of observer-based robust control for a class of switched stochastic systems with time-varying delay. Based on the average dwell time method, an exponential stability criterion for switched stochastic delay systems is proposed. …”
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Fatigue Damage Evaluation of Pile-Supported Bridges under Stochastic Ice Loads by Tianyu Wu, Wenliang Qiu, Guangrun Wu

“…On the basis of measured statistical data of ice parameters and stochastic ice loads spectrum of Bohai Sea, the time histories of the stochastic ice loads of Bohai Sea are simulated. …”
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Risk-Aware Stochastic Vehicle Trajectory Prediction With Spatial-Temporal Interaction Modeling by Yuxiang Feng, Qiming Ye, Eduardo Candela, Jose Javier Escribano-Macias, Bo Hu, Yiannis Demiris, Panagiotis Angeloudis

Subjects: “…Stochastic trajectory prediction…”
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Postural Stability in Parkinson’s Disease Patients Is Improved after Stochastic Resonance Therapy by Oliver Kaut, Daniel Brenig, Milena Marek, Niels Allert, Ullrich Wüllner

“…We performed a double-blind, randomized sham-controlled study to test the effects of stochastic resonance (whole body vibration) therapy on postural stability in PD. …”
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Probability Density Evolution Algorithm for Stochastic Dynamical Systems Based on Fractional Calculus by Yang Yan, Xiaohong Yu

“…With the increasing load and speed of trains, the problems caused by various random excitations (such as safety and passenger comfort) have become more prominent and thus arises the necessity to analyze stochastic dynamical systems, which is important in both academic and engineering circles. …”
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Lattice Methods for Pricing American Strangles with Two-Dimensional Stochastic Volatility Models by Xuemei Gao, Dongya Deng, Yue Shan

“…The aim of this paper is to extend the lattice method proposed by Ritchken and Trevor (1999) for pricing American options with one-dimensional stochastic volatility models to the two-dimensional cases with strangle payoff. …”
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A Mechanistic, Stochastic Model Helps Understand Multiple Sclerosis Course and Pathogenesis by Isabella Bordi, Renato Umeton, Vito A. G. Ricigliano, Viviana Annibali, Rosella Mechelli, Giovanni Ristori, Francesca Grassi, Marco Salvetti, Alfonso Sutera

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Numerical Solutions to Optimal Portfolio Selection and Consumption Strategies under Stochastic Volatility by Lei Ge, Qiang Zhang

“…Based on the method of dynamic programming, this paper uses analysis methods governed by the nonlinear and inhomogeneous partial differential equation to study modern portfolio management problems with stochastic volatility, incomplete markets, limited investment scope, and constant relative risk aversion (CRRA). …”
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Solution of the Stochastic Heat Equation with Nonlinear Losses Using Wiener-Hermite Expansion by Mohamed A. El-Beltagy, Noha A. Al-Mulla

“…In the current work, the Wiener-Hermite expansion (WHE) is used to solve the stochastic heat equation with nonlinear losses. WHE is used to deduce the equivalent deterministic system up to third order accuracy. …”
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Stochastic Inversion Method for Concrete Dams on the Basis of Bayesian Back Analysis Theory by Chongshi Gu, Xin Cao, Bo Xu

“…In view of the uncertain characteristics of concrete dams, a stochastic inverse model is proposed in this study to solve the undetermined mechanical parameters with sequential and spatial randomness using measured displacement data and Bayesian back analysis theory. …”
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Approximations of Numerical Method for Neutral Stochastic Functional Differential Equations with Markovian Switching by Hua Yang, Feng Jiang

“…Stochastic systems with Markovian switching have been used in a variety of application areas, including biology, epidemiology, mechanics, economics, and finance. …”
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Parameter Estimation for Stochastic Differential Equations Driven by Mixed Fractional Brownian Motion by Na Song, Zaiming Liu

“…We study the asymptotic properties of minimum distance estimator of drift parameter for a class of nonlinear scalar stochastic differential equations driven by mixed fractional Brownian motion. …”
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Option Pricing Based on Modified Advection-Dispersion Equation: Stochastic Representation and Applications by Longjin Lv, Luna Wang

“…In this paper, we first investigate the stochastic representation of the modified advection-dispersion equation, which is proved to be a subordinated stochastic process. …”
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Positive Recurrence and Extinction of Hybrid Stochastic SIRS Model with Nonlinear Incidence Rate by Liang Chen, Shan Wang

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Quantum Stochastic Cable Equation Acting on Functionals of Discrete-Time Normal Martingales by Yuling Tang, Caishi Wang, Suling Ren, Jinshu Chen

“…In this paper, we consider a quantum stochastic cable equation in terms of operators from S(M) to S⁎(M). …”
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Breaking barriers in two-party quantum cryptography via stochastic semidefinite programming by Akshay Bansal, Jamie Sikora

“…In this work, we use stochastic selection, an idea from stochastic programming, to circumvent such limitations. …”
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Stationary Distribution and Periodic Solution of Stochastic Toxin-Producing Phytoplankton–Zooplankton Systems by Chunjin Wei, Yingjie Fu

“…In this paper, we investigate the dynamics of autonomous and nonautonomous stochastic toxin-producing phytoplankton–zooplankton system. …”
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Existence and Uniqueness Results for a Class of Fractional Integro-Stochastic Differential Equations by Ayed. R. A. Alanzi, Shokrya S. Alshqaq, Raouf Fakhfakh, Abdellatif Ben Makhlouf

“…The objective of this paper is to demonstrate the existence and uniqueness (EU) of solutions to a class of Fractional Integro-Stochastic Differential Equations (FISDEs) by utilizing the fixed-point technique (FPT) and stochastic techniques. …”
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Dynamic Analysis of a Stochastic SEQIR Model and Application in the COVID-19 Pandemic by Shijie Liu, Maoxing Liu

“…In this study, a deterministic SEQIR model with standard incidence and the corresponding stochastic epidemic model are explored. In the deterministic model, the reproduction number is given, and the local asymptotic stability of the equilibria is proved. …”
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