Results 21 to 30 of about 652,852 (288)
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
doaj +1 more source
Permanence and extinction of a high-dimensional stochastic resource competition model with noise
Advances in Difference Equations, 2018 In this paper, we investigate the asymptotic behavior for a kind of resource competition model with environmental noises. Considering the impact of white noise on birth rate and death rate separately, we first prove the existence of a positive solution ...
Li Wang, Xiaoqiang Wang, Qimin Zhang
doaj +1 more source
A posteriori error estimation for stochastic static problems [PDF]
, 2014 To solve stochastic static field problems, a discretization by the Finite Element Method can be used. A system of equations is obtained with the unknowns (scalar potential at nodes for example) being random variables. To solve this stochastic system, the
MAC, Hung, CLENET, Stephane
core +1 more source
Advances in Mathematical Physics, 2015 A stochastic nonautonomous N-species Lotka-Volterra model with delays and impulsive perturbations is investigated. For this model, sufficient conditions for extinction, nonpersistence in the mean, weak persistence and stochastic permanence are given ...
Qing Wang, Yongguang Yu, Shuo Zhang
doaj +1 more source
Asymptotic behavior and numerical simulations of a Lotka-Volterra mutualism system with white noises
Advances in Difference Equations, 2017 In the present paper, a stochastic mutualism model subject to white noises is established. We first investigate the existence and uniqueness of globally positive solution of the stochastic model.
Shengliang Guo, Yijun Hu
doaj +1 more source
Discrete Dynamics in Nature and Society, 2016 This paper is devoted to stochastic delayed one-predator and two-competing-prey systems with two kinds of different functional responses. By establishing appropriate Lyapunov functions, the globally positive solution and stochastic boundedness are ...
Changjian Wang +3 more
doaj +1 more source
Permanence and Extinction of a Stochastic Delay Logistic Model with Jumps [PDF]
Mathematical Problems in Engineering, 2014 This paper is concerned with a stochastic delay logistic model with jumps. Sufficient and necessary conditions for extinction are obtained as well as stochastic permanence. Numerical simulations are introduced to support the theoretical analysis results.
Chun Lu, Xiaohua Ding
openaire +1 more source
Permanents of doubly stochastic matrices
Discrete Mathematics, 1986 Let \(\mu_ k(n)\) denote the minimum value of the permanent of all \(n\times n\) (0,1) matrices whose row and column sums equal k. It has been conjectured that \[ \lim_{n\to \infty}[\mu_ k(n)]^{1/n}=(k-1)^{k- 1}/k^{k-2}. \] The author shows that if \(\prod^{n}_{j=1}\sum^{n}_{i=1}a_{ij}\prod_{k\neq 1}(1- a_{kj})\leq per A\) for any \(n\times n\) doubly ...
openaire +3 more sources
Long-Term Behavior of Lotka–Volterra Model with Lévy Jump in Countable State-Dependent Environments
MathematicsIn this study, we analyze a multi-species mutualistic Lotka–Volterra model with Lévy jumps and regime-switching. A defining feature of the work lies in modeling the random environment through state-dependent switching in an infinite countable state space.
Huijie Ji +3 more
doaj +1 more source
Dynamics Analysis of a Stochastic SIR Epidemic Model
Abstract and Applied Analysis, 2014 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.
Feng Rao
doaj +1 more source