An Approximation Solution to Refinery Crude Oil Scheduling Problem with Demand Uncertainty Using Joint Constrained Programming by Qianqian Duan, Genke Yang, Guanglin Xu, Changchun Pan

“…Compared to deterministic models in existing works, the stochastic model can be more practical for optimizing crude oil operations. …”
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IMT to Satellite Stochastic Interference Modeling and Coexistence Analysis of Upper 6 GHz-Band Service by Reza Aghazadeh Ayoubi, Dario Tagliaferri, Filippo Morandi, Luca Rinaldi, Laura Resteghini, Christian Mazzucco, Umberto Spagnolini

“…Furthermore, we propose an approximate geometrical-based stochastic model of interference (GSMI) as an alternative method to SMI when the clutter-loss distribution is unavailable. …”
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Dynamics of a General Stochastic Nonautonomous Lotka-Volterra Model with Delays and Impulsive Perturbations by Qing Wang, Yongguang Yu, Shuo Zhang

“…The influences of the stochastic noises, and the impulsive perturbations on the properties of the stochastic model are also discussed. The critical value between weak persistence and extinction is obtained. …”
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Modeling the Dependence of Losses of a Financial Portfolio Using Nested Archimedean Copulas by Wendkouni Yaméogo, Diakarya Barro

“…In financial analysis, stochastic models are more and more used to estimate potential outcomes in a risky framework. …”
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Application of Discrete-time semi-Markov Model to the Stochastic forecasting of Capital assests as stock. by Nafiu, Lukman Abiodun, Patrick, Weke, Alieu Jallow, Mamadou, Carolyne, Ogutu

“…In this paper, we developed and applied a stochastic model based on Discrete-time Semi Markov chain approach and its generalizations to study the high frequency price dynamics of traded stocks. …”
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Stochastic dynamics and survival analysis of a cell population model with random perturbations by Cristina Anton, Alan Yong

“…We show that the stochastic model has a unique positive solution and we find conditions for extinction and persistence of the cell population. …”
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Large-Scale MIMO Transmitters for CR-NOMA in Fixed Physical Space: The Effect of Realistic System Impairments Using Stochastic Geometry by Emmanuel Ampoma Affum, Samuel Tweneboah-Koduah, Owusu Agyeman Antwi, Benjamin Asubam Weyori, Willie Ofosu

“…Unlike Geometric-based Stochastic Models (GBSMs), existing works on the impact of HWI on cooperative-relay (CR) Non-Orthogonal Multiple Access (NOMA) systems employ the Correlated-based Stochastic Model (CBSM), which does not capture realistic propagation mechanisms. …”
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An Ambit Stochastic Approach to Pricing Electricity Forward Contracts: The Case of the German Energy Market by Luca Di Persio, Isacco Perin

“…We propose an ambit stochastic model to study the electricity forward prices. …”
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Morphogenesis of the tumor patterns by Elena Izquierdo-Kulich, José Manuel Nieto-Villar

“…The mathematical modeling of tumor growth allows us to describethe most important regularities of these systems. A stochastic model, basedon the most important processes that take place at the level of individual cells,is proposed to predict the dynamical behavior of the expected radius of thetumor and its fractal dimension. …”
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Identification of a Stochastic Dynamic Model for Aircraft Flight Attitude Based on Measured Data by Haiquan Li, Xiaoqian Chen, Jiatu Zhang, Bochen Wang, Jiahui Peng, Liang Wang

“…Finally, a set of measured flight data is used to verify that the identified stochastic model has obvious advantages over the traditional deterministic model when the aircraft is maneuvering in flight. …”
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On a spike train probability model with interacting neural units by Antonio Di Crescenzo, Maria Longobardi, Barbara Martinucci

“…We investigate an extension of the spike train stochastic model based on the conditionalintensity, in which the recovery function includes an interaction between several excitatoryneural units. …”
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Optimal control and analysis of a stochastic SEIR epidemic model with nonlinear incidence and treatment by Jinji Du, Chuangliang Qin, Yuanxian Hui

“…The dynamic analysis of the stochastic model was studied and we found that the model has an ergodic stationary distribution when $ R_{0}^{s} > 1 $. …”
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Dynamics of stochastic mutation to immunodominance by Yu Wu, Xiaopeng Zhao, Mingjun Zhang

“…Monte Carlo simulations of the stochastic model show abounding complex phenomena, and patterns observed from the numerical simulations shed lights on long term trends of immunodominance.…”
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Global stability of a multi-group model with vaccination age, distributed delay and random perturbation by Jinhu Xu, Yicang Zhou

“…A multi-group epidemic model withdistributed delay and vaccination age has been formulated and studied.Mathematical analysis shows that the global dynamics of the model is determinedby the basic reproduction number $\mathcal{R}_0$:the disease-free equilibrium is globally asymptotically stable if $\mathcal{R}_0\leq1$,and the endemic equilibrium is globally asymptotically stable if $\mathcal{R}_0>1$.Lyapunov functionals are constructed by the non-negative matrix theory and a novel grouping techniqueto establish the global stability.The stochastic perturbation of the model is studied and it is provedthat the endemic equilibrium of the stochastic model is stochastically asymptotically stablein the large under certain conditions.…”
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Dynamical Behavior of Stochastic Markov Switching Hepatitis B Epidemic Model with Saturated Incidence Rate by Chun Lu

“…Its condition implies that when white noise is small, in the stochastic model, there exists a stochastic positive equilibrium state without changing the basic properties of its corresponding deterministic model. …”
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Survival and Stationary Distribution in a Stochastic SIS Model by Yanli Zhou, Weiguo Zhang, Sanling Yuan

“…Then, the long-term asymptotic behavior of the model is studied: when R0≤1, we show how the solution spirals around the disease-free equilibrium of deterministic system under some conditions; when R0>1, we show that the stochastic model has a stationary distribution under certain parametric restrictions. …”
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Dynamics and density function of a HTLV-1 model with latent infection and Ornstein-Uhlenbeck process by Yan Ren, Yan Cheng, Yuzhen Chai, Ping Guo

“…Subsequently, we establish a sufficient condition for the existence of a stochastic model stationary distribution. Based on this condition, the local probability density function expression of the model near the quasi-equilibrium point is solved by combining it with the Fokker-Planck equation. …”
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The 𝑀-Wright Function in Time-Fractional Diffusion Processes: A Tutorial Survey by Francesco Mainardi, Antonio Mura, Gianni Pagnini

“…Furthermore, these processes provide stochastic models suitable for describing phenomena of anomalous diffusion of both slow and fast types.…”
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A Cooperative Dual to the Nash Equilibrium for Two-Person Prescriptive Games by H. W. Corley, Phantipa Kwain

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Optimal Control Harmony: Navigating Deterministic and Stochastic Realms with a Two-Strain Model Using Pontryagin’s Maximum Principle. by Kayanja, Andrew, Abola, Benard, Kikawa, Cliff R., Oyo, Benedict, Ssematima, Amos

“…In this paper, we study optimal control solutions using a two-strain SARS-CoV-2 deterministic epidemic model characterized by standard incidence, alongside a two-strain stochastic model incorporating a random transmission rate. …”
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