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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A two-stage stochastic planning model for locating product collection centers in green logistics networks by Reza Eslamipoor

“…Finally, the numerical results obtained from both models are presented, and the ability of the proposed stochastic model in using non-deterministic data has been examined.…”
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Stochastic Approaches to Energy Markets: From Stochastic Differential Equations to Mean Field Games and Neural Network Modeling by Luca Di Persio, Mohammed Alruqimi, Matteo Garbelli

“…The review guides navigating and leveraging the latest stochastic modelling techniques for enhanced decision making and improved market operations.…”
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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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MATHEMATICAL MODEL OF LOOSELY-COUPLED INERTIAL–SATELLITE AIR NAVIGATION COMPLEX by D. A. Sakharuk

“…The paper considers a mathematical model of loosely-coupled inertial-satellite navigation complex which has been developed in the class of linear discrete stochastic models. A specific feature of the considered algorithms for integration of navigation data is the possibility to use parametrical optimum evaluation of the linear Kalman filters constructed on the basis of equations. …”
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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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Numerical modelling of reinforced concrete beams with fracture-plastic material by O. Sucharda, J. Brozovsky

“…The original tests were performed by Bresler- Scordelis. A stochastic modelling based on LHS (Latin Hypercube Sampling) has been performed for the reinforced concrete beam. …”
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Toward a deeper understanding of a basic cascade by U. Saint-Mont

“…Not least due to technical difficulties, continuous stochastic models, such as the classic p model, have been preferred over discrete cascades. …”
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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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Numerical modelling of reinforced concrete beams with fracture-plastic material by O. Sucharda, J. Brozovsky

“…The original tests were performed by Bresler- Scordelis. A stochastic modelling based on LHS (Latin Hypercube Sampling) has been performed for the reinforced concrete beam. …”
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Resource-constrained project scheduling problem: Review of recent developments by Sahar Khajesaeedi, Seyed Jafar Sadjadi, Farnaz Barzinpour, Reza Tavakkoli Moghaddam

“…Key developments include the evolution of hybrid metaheuristics, multi-objective optimization approaches, and the integration of stochastic models to enhance robustness against uncertainties. …”
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STOCHASTIC FINITE ELEMENT MODEL UPDATING BASED ON POLYNOMIAL CHAOTIC EXPANSION AND KL DIVERGENCE by XU ZeWei, PENG ZhenRui, ZHANG YaFeng, BAI Yu

“…Considering the influence of structural parameter uncertainty on response and the problem of large calculation of stochastic model updating, a stochastic finite element model updating method based on polynomial chaotic expansion and KL divergence is proposed. …”
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Information-theoretic bounds for accuracy of letter encoding and pattern recognition via ensembles of datasets M.M. Lange 1, A.M. Lange 1 by M.M. Lange, A.M. Lange

“…In this paper, we study stochastic models for discrete letter encoding and object classification via ensembles of different modality datasets. …”
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Type-dependent stochastic Ising model describing the dynamics of a non-symmetric feedback module by Manuel González-Navarrete

“…We study an alternative approach to model the dynamical behaviors of biological feedback loop, that is, a type-dependent spin system, this class of stochastic models was introduced by Fernández et. al [13], and are useful since take account to inherent variability of gene expression.We analyze a non-symmetric feedback module being an extension for the repressilator, the first synthetic biological oscillator, invented by Elowitz and Leibler [7]. …”
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The Holling Type II Population Model Subjected to Rapid Random Attacks of Predator by Jevgeņijs Carkovs, Jolanta Goldšteine, Kārlis Šadurskis

“…Assuming that the averaged dynamical system is the classic Holling type II population model with asymptotically stable limit cycle, we prove that the dynamics of stochastic model may be approximated with a two-dimensional Gaussian Markov process with unboundedly increasing variances.…”
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Interference Analysis and Modeling of Positioning Reference Signals in 5G NTN by Alejandro Gonzalez-Garrido, Jorge Querol, Henk Wymeersch, Symeon Chatzinotas

“…This study provides a stochastic model for the interference generated by PRS transmissions in a 5G NTN scenario. …”
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