Stochastic Predator-Prey System Subject to Lévy Jumps by Xinzhu Meng, Xiaohong Wang

“…This paper investigates a new nonautonomous impulsive stochastic predator-prey system with the omnivorous predator. …”
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On moment inequalities and stochastic ordering for weighted reliability measures by Broderick O. Oluyede, Mekki Terbeche

“…We obtain stochastic inequalities, error bounds, and classification probability for a general class of distributions. …”
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Stability of Stochastic Differential Delay Systems with Delayed Impulses by Yanlei Wu

“…We investigate the stability of stochastic delay differential systems with delayed impulses by Razumikhin methods. …”
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Stochastic Linear Quadratic Control Problem on Time Scales by Yingjun Zhu, Guangyan Jia

“…This paper addresses a version of the stochastic linear quadratic control problem on time scales SΔLQ, which includes the discrete time and continuous time as special cases. …”
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Hyperbolic Cross Truncations for Stochastic Fourier Cosine Series by Zhihua Zhang

“…Based on our decomposition of stochastic processes and our asymptotic representations of Fourier cosine coefficients, we deduce an asymptotic formula of approximation errors of hyperbolic cross truncations for bivariate stochastic Fourier cosine series. …”
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Stochastic Control of Inertial Sea Wave Energy Converter by Mattia Raffero, Michele Martini, Biagio Passione, Giuliana Mattiazzo, Ermanno Giorcelli, Giovanni Bracco

“…The resulting response is obtained as the output of the coupled mechanic-hydrodynamic model of the device. A stochastic suboptimal controller, derived from optimal control theory, is defined and applied to ISWEC. …”
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Stochastic logic in biased coupled photonic probabilistic bits by Michael Horodynski, Charles Roques-Carmes, Yannick Salamin, Seou Choi, Jamison Sloan, Di Luo, Marin Soljačić

“…Our method relies on the insight that coherent Ising machines composed of coupled and biased optical parametric oscillators can emulate stochastic logic. We demonstrate the feasibility of our approach by using numerical simulations equivalent to the full density matrix formulation of coupled optical parametric oscillators.…”
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The mean and noise of stochastic gene transcription with cell division by Qi Wang, Lifang Huang, Kunwen Wen, Jianshe Yu

“…Cell division is a stochastic and complex process. In this paper, we study the impact of cell division on the mean and noise of mRNA numbers by using a two-state stochastic model of transcription. …”
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Modeling and Stochastic Model Updating of Bolt-Jointed Structure by Ming Zhan, Qintao Guo, Lin Yue, Baoqiang Zhang

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Quasilinear Stochastic Cauchy Problem in Abstract Colombeau Spaces by Irina V. Melnikova, Uljana A. Alekseeva

“…Generalized solutions to the abstract Cauchy problem for a quasilinear equation with the generator of an integrated semigroup and with terms reflecting nonlinear perturbations and white noise type perturbations are under consideration. An abstract stochastic Colombeau algebra is constructed, and solutions in the algebra are studied.…”
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Stochastic model of economic cycles and its econometric application by Karmalita Viacheslav

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Dynamics Analysis of a Stochastic SIR Epidemic Model by Feng Rao

“…We investigate an SIR epidemic model with stochastic perturbations. We assume that stochastic perturbations are of a white noise type which is directly proportional to the distances of three variables from the steady-state values, respectively. …”
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Flow, Wind, and Stochastic Connectivity Modeling Infectious Diseases by C. Udriste, I. Tevy, A. S. Rasheed

“…We are interested in mathematical analysis, bringing new results on studied evolutionary models: infection flow together with a differential inclusion, bounds of evolution, dual description of disease evolution, log-optimal and rapid path, epidemic wind (geometric dynamics), stochastic equations of evolution, and stochastic connectivity. …”
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On stochastic differential equations driven by skew stable processes by Henrikas Pragarauskas

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The Analytical Solutions for Stochastic Fractional-Space Burgers’ Equation by Farah M. Al-Askar, Wael W. Mohammed, M. El-Morshedy

“…We consider here the stochastic fractional-space Burgers’ equation (SFSBs’E) forced by multiplicative noise. …”
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Nonlinear stochastic Markov processes and modeling uncertainty in populations by H.Thomas Banks, Shuhua Hu

“…Here we derive a class of stochastic formulations for which such an alternate representation is readily found.…”
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Stochastic dynamics of SIRS epidemic models withrandom perturbation by Qingshan Yang, Xuerong Mao

“…In this paper, we consider a stochastic SIRS model with parameterperturbation, which is a standard technique in modeling populationdynamics. …”
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Trivariate Stochastic Weather Model for Predicting Maize Yield by Patrick Chidzalo, Phillip O. Ngare, Joseph K. Mung’atu

“…Stochastic analyses are applied on the pdf and process to account for nonlinearity and nonstationarity, and also establish a corresponding stochastic differential equation (SDE) for maize yield. …”
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Largest Lyapunov Exponents and Bifurcations of Stochastic Nonlinear Systems by C.W.S. To, D.M. Li

“…Two commonly adopted expressions for the largest Lyapunov exponents of linearized stochastic systems are reviewed. Their features are discussed in light of bifurcation analysis and one expression is selected for evaluating the largest Lyapunov exponent of a linearized system. …”
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A non-autonomous stochastic predator-prey model by Aniello Buonocore, Luigia Caputo, Enrica Pirozzi, Amelia G. Nobile

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