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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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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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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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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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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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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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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Mathematical and statistical approaches in epidemiological investigation of hospital infection: A case study of the 2015 Middle East Respiratory Syndrome outbreak in Korea. by Youngsuk Ko, Eunok Jung

“…Mary's Hospital, the Republic of Korea. We developed a stochastic model based on individual case data to derive a likelihood function for disease transmission. …”
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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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Analysis of Investment Returns as Markov Chain Random Walk by Felix Okoe Mettle, Emmanuel Kojo Aidoo, Carlos Oko Narku Dowuona, Louis Agyekum

“…The main objective of this paper is to analyse investment returns using a stochastic model and inform investors about the best stock market to invest in. …”
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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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On the mathematical modelling of tumor-induced angiogenesis by Luis L. Bonilla, Vincenzo Capasso, Mariano Alvaro, Manuel Carretero, Filippo Terragni

“…To reduce this complexity, for a conceptual stochastic model we have explored how to take advantage of the system intrinsic multiscale structure: one might describe the stochastic dynamics of the cells at the vessel tip at their natural microscale, whereas the dynamics of the underlying fields is given by a deterministic mean field approximation obtained by an averaging at a suitable mesoscale. …”
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A Semiempirical MIMO Channel Model in Obstructed Viaduct Scenarios on High-Speed Railway by Tao Zhou, Cheng Tao, Liu Liu, Zhenhui Tan

“…The proposed MIMO model is based on the combination of realistic single-input single-output (SISO) channel measurement results and a theoretical geometry-based stochastic model (GBSM). Temporal fading characteristics involving K-factor and Doppler power spectral density (PSD) are derived from the wideband measurement under an obstructed viaduct on Zhengzhou-Xi’an HSR in China. …”
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Anti-correlation of LacI association and dissociation rates observed in living cells by Vinodh Kandavalli, Spartak Zikrin, Johan Elf, Daniel Jones

“…Here, we systematically test this assumption using cell-to-cell variability in gene expression as a window into the in vivo association and dissociation kinetics of the model transcription factor LacI. Using a stochastic model of the relationship between gene expression variability and binding kinetics, we performed single-cell gene expression measurements to infer association and dissociation rates for a set of 35 different LacI binding sites. …”
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Stochastic control with state constraints via the Fokker–Planck equation. Application to renewable energy plants with batteries by Bermúdez, Alfredo, Padín, Iago

“…In this paper we present a methodology for the development of bidding strategies and real-time control for electricity producers in a competitive electricity marketplace. Firstly, a stochastic model of a wind power plant with battery storage is stated in the framework of stochastic differential equations (SDE). …”
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Determination of the best time series model for forecasting annual rainfall of selected stations of Western Azerbaijan province by Somayeh Soltani gerdfaramarzi, Aref Saberi, Morteza Gheisouri

“…To investigate model static, Auto Correlation Function (ACF) and Partial Auto Correlation Function (PACF) was applied and with differencing method, the non-static data transformed to static data. In next step, stochastic models to estimate the annual rainfall average were used. …”
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