Results 21 to 30 of about 931,046 (255)
Dynamical Behavior of a Nonautonomous Stochastic Modified Bazykin Model
Journal of Chemistry, 2019 In this article, a nonautonomous stochastic modified Bazykin model is introduced. The positive solution is proved to be unique and global for any initial data via stochastic comparison theorem and Itô formula.
Zhangzhi Wei, Zheng Wu, Lianglong Wang
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Dynamical Behavior of a Stochastic Ratio-Dependent Predator-Prey System
Journal of Applied Mathematics, 2012 This paper is concerned with a stochastic ratio-dependent predator-prey model with varible coefficients. By the comparison theorem of stochastic equations and the Itô formula, the global existence of a unique positive solution of the ratio-dependent ...
Zheng Wu, Hao Huang, Lianglong Wang
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Threshold dynamics of a stochastic mathematical model for Wolbachia infections
Journal of Biological Dynamics, 2023 A stochastic mathematical model is proposed to study how environmental heterogeneity and the augmentation of mosquitoes with [Formula: see text] bacteria affect the outcomes of dengue disease. The existence and uniqueness of the positive solutions of the
Jin Yang +4 more
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A Stochastic Holling-Type II Predator-Prey Model with Stage Structure and Refuge for Prey
Advances in Mathematical Physics, 2021 In this paper, we study a stochastic Holling-type II predator-prey model with stage structure and refuge for prey. Firstly, the existence and uniqueness of the global positive solution of the system are proved.
Wanying Shi +3 more
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Linear-implicit strong schemes for Itô-Galkerin approximations of stochastic PDEs [PDF]
, 2010 Linear-implicit versions of strong Taylor numerical schemes for finite dimensional Itô stochastic differential equations (SDEs) are shown to have the same order as the original scheme.
Shott, Stephen, Kloeden, Peter E.
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Stochastic Logistic Systems with Jumps
Journal of Applied Mathematics, 2014 This paper is concerned with a stochastic nonautonomous logistic model with jumps. In the model, the martingale and jump noise are taken into account. This model is new and more feasible and applicable.
Ruihua Wu, Ke Wang
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New result on the ultimate boundedness of solutions of certain third-order vector differential equations [PDF]
, 1983 summary:Sufficient conditions are established for ultimate boundedness of solutions of certain nonlinear vector differential equations of third-order. Our result improves on Tunc’s [C.
Fatmi, Larbi +6 more
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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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Axioms, 2023 In the predator–prey system, predators can affect the prey population by direct killing and predation fear. In the present study, we consider a delayed predator–prey model with fear and Beddington–DeAngelis functional response. The model incorporates not
Minjuan Cui +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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