Stochastic Delay Logistic Model under Regime Switching
Abstract and Applied Analysis, 2012 This paper is concerned with a delay logistical model under regime switching diffusion in random environment. By using generalized Itô formula, Gronwall's inequality, and Young's inequality, some sufficient conditions for existence of global positive ...
Zheng Wu, Hao Huang, Lianglong Wang
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Analysis of a stochastic delay competition system driven by Lévy noise under regime switching
Electronic Journal of Qualitative Theory of Differential Equations, 2017 This paper is concerned with a stochastic delay competition system driven by Lévy noise under regime switching. Both the existence and uniqueness of the global positive solution are examined.
Shiying Li, Shuwen Zhang
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Stochastic Semilinear Evolution Equations: Lyapunov Function, Stability, and Ultimate Boundedness
Journal of Mathematical Analysis and Applications, 1997 The exponential stability in the mean square sense (MSS), stability in probability and exponential ultimate boundedness (EUB in the MSS: \(E |X^x(t) |^2 \leq ce^{- \beta t} |x|^2+M\)) are considered for the mild solutions of stochastic semilinear evolution equations \(dX=(AX+F(X)) dt+ B(X) dW(t)\) in a real Hilbert space.
Liu, Ruifeng, Mandrekar, Vidyadhar
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Application of inequalities technique to dynamics analysis of a stochastic eco-epidemiology model
Journal of Inequalities and Applications, 2016 This paper formulates an infected predator-prey model with Beddington-DeAngelis functional response from a classical deterministic framework to a stochastic differential equation (SDE).
Tao Feng +3 more
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, 2023 Abstract For the solutions of stochastic systems, stochastic ultimate boundedness has always been a very important property. Thus, in this paper, we will investigate a stochas-tic delayed Lotka-Volterra food chain chemostat model. Firstly, we prove the existence and uniqueness of global positive solution for this model. Then we future prove the
Chenyu Liu, Xiaofeng Zhang
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Ultimate Boundedness of Solutions for Certain Third Order Nonlinear Differential Equations [PDF]
, 2016 We investigate in this paper, the ultimate boundedness of solutions for certain special class of third order nonlinear differential equations. Using suitable complete Lyapunov function, we obtain the criteria for the ultimate boundedness of solutions for
Olutimo, Akinwale L.
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Dynamical Behavior of a Stochastic Food-Chain System with Beddington-DeAngelis Functional Response
Abstract and Applied Analysis, 2014 We investigate a stochastic Food-Chain System dx(t)=[r1(t)-a11(t)x-(a12(t)y/(1+β1(t)x+γ1(t)y))]xdt+σ1(t)xdB1(t), dy(t)=[r2(t)-a21(t)y+(a22(t)x/(1+β1(t)x+γ1(t)y))-(a23(t)z/(1+β2(t)y+γ2(t)z))]ydt+σ2(t)ydB2(t), dz(t)=[-r3(t)+(a31(t)y/(1+β2(t)y+γ2(t)z))-a32 ...
Yanming Ge, Zigen Song
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Asymptotic Behaviour and Extinction of Delay Lotka-Volterra Model with Jump-Diffusion
Journal of Applied Mathematics, 2014 This paper studies the effect of jump-diffusion random environmental perturbations on the asymptotic behaviour and extinction of Lotka-Volterra population dynamics with delays.
Dan Li, Jing’an Cui, Guohua Song
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Comparison of Triply Periodic Minimal Surface Energy Absorbers Under Uniaxial Compressive Loading
Advanced Engineering Materials, EarlyView.This study investigates LCD 3D printed Triply Periodic Minimal Surface (TPMS) structures as mechanical energy absorbers. By comparing various base designs and layered combinations under uniaxial compression, it identifies that a Diamond‐Gyroid sandwich structure offers superior performance.
Sergej Grednev +2 more
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Controle de sistemas lineares sujeitos a zona morta no atuador: Vanessa Dilda ; orientador, Eugênio de Bona Castelan Neto, coorientador, Romeu Reginatto [PDF]
, 2013 Tese (doutorado) - Universidade Federal de Santa Catarina, Centro Tecnológico, Programa de Pós-Graduação em Engenharia de Automação e Sistemas, Florianópolis, 2013.Nesta tese são abordados os problemas de análise de estabilidade e síntese de ...
Dilda, Vanessa
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