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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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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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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Gauss-diffusion processes for modeling the dynamics of a couple of interacting neurons by Aniello Buonocore, Luigia Caputo, Enrica Pirozzi, Maria Francesca Carfora

“…With the aim to describe the interaction between a couple of neurons a stochastic model is proposed and formalized. In such a model, maintaining statements of the Leaky Integrate-and-Fire framework, we include a random component in the synaptic current, whose role is to modify the equilibrium point of the membrane potential of one of the two neurons and when a spike of the other one occurs it is turned on. …”
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Threshold dynamics of stochastic SIRSW infectious disease model with multiparameter perturbation by Zhengwen Yin, Yuanshun Tan

“…Subsequently, we obtained the asymptotic stability of both the disease-free equilibrium and the endemic equilibrium of the deterministic model corresponding to the stochastic model through stochastic stability theory. The results indicated that high-intensity noise perturbation can inhibit the spread of the disease, and the dynamic behavior of the disease transitioned from persistence to extinction as noise intensity increased. …”
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Comparison between stochastic and deterministic selection-mutation models by Azmy S. Ackleh, Shuhua Hu

“…We show numerically that the mean behavior ofthe stochastic model in general agrees with the deterministic one.However, unlike the deterministic one, if the differences in thegrowth-to-mortality ratios are small in the pure selection case,it cannot be determined a priori which subpopulation will have thehighest probability of surviving and winning the competition.…”
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Modelling seasonal influenza in Israel by Oren Barnea, Rami Yaari, Guy Katriel, Lewi Stone

“…The results were corroborated by implementing a stochastic model and using a maximum likelihood approach. …”
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Evaluating growth measures in an immigration process subject to binomial and geometric catastrophes by Jesus R. Artalejo, A. Economou, M.J. Lopez-Herrero

“…., habitat destruction, environmentalcatastrophes). Many stochastic models have been developed to explain thebehavior of these populations. …”
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On a Stochastic Approach to Extensions of the Susceptible-Infected-Susceptible (SIS) Model Applied to Malaria by Abdoul Karim Drabo, Frédéric Bere, S. P. Clovis Nitiema

“…This work presents a stochastic model of malaria spread. We first calculated the basic reproduction number R0 of the models ShIhRhSh‐SvIv and ShLhIhRhSh‐SvLvIv in order to show that the malaria-free equilibrium is asymptotically stable; then, we used a finite Markov chain model to describe the interactions between the different compartments of the model SeLeIeReSe‐SaLaIaRaSa‐SvIv. …”
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3D channel modeling and space-time correlation analysis for V2V communications by Wenbo ZENG, Yigang HE, Bing LI, Guolong SHI, Feng ZHAO

“…To match complex wireless propagation scenarios,an improved 3D geometry-based stochastic model was proposed for vehicle to vehicle (V2V) communications channel.The exact relationship between the azimuth angle and elevation angle was taken into account and the corresponding space–time correlation function and space–Doppler power spectral density were derived,and the influence of important factors was analyzed.The observations and conclusions show that correlation characteristics is closely related to distribution of the scatterers and the angle of the antenna array under the non-isotropic scattering environment and is affected by the elevation angle of the antenna array under the isotropic scattering environment.And the space-time correlation characteristics in high vehicular traffic density is significantly lower than that in low vehicular traffic density.The corresponding simulation model is also derived by using a reasonable parameter calculation method.The simulation results validate the rationality of proposed model.It greatly improves analysis and simulation efficiency of V2V MIMO system.…”
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Fractional Order Stochastic Differential Equation with Application in European Option Pricing by Qing Li, Yanli Zhou, Xinquan Zhao, Xiangyu Ge

“…In addition, we make a comparison analysis between our proposed model, the classic Black-Scholes model, and the stochastic model with fractional Brownian motion. Numerical results suggest that our model leads to more accurate and lower standard deviation in the empirical study.…”
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Microscopic Fluctuations in Power-Grid Frequency Recordings at the Subsecond Scale by Benjamin Schäfer, Leonardo Rydin Gorjão, G. Cigdem Yalcin, Ellen Förstner, Richard Jumar, Heiko Maass, Uwe Kühnapfel, Veit Hagenmeyer

“…Third, we provide a simplified stochastic model involving positively correlated noise to reproduce the observed dynamics, possibly linked to frequency-dependent loads. …”
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Peano Theorems for Pedjeu–Ladde-Type Multi-Time Scale Stochastic Differential Equations Driven by Fractional Noises by Arcady Ponosov, Lev Idels

“…To encompass all commonly used particular classes of fractional multi-time scale stochastic models, including those with random delays and impulses at random times, we consider equations with nonlinear random Volterra operators rather than functions. …”
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A new crossover dynamics mathematical model of monkeypox disease based on fractional differential equations and the Ψ-Caputo derivative: Numerical treatments by N.H. Sweilam, S.M. Al-Mekhlafi, W.S. Abdel Kareem, G. Alqurishi

“…Also, the nonstandard modified Euler Maruyama method is used to study the fractional stochastic model. A comparison between Ψ-nonstandard finite difference method and Ψ-standard finite difference method is presented. …”
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