Some New Results on the Lotka-Volterra System with Variable Delay

Yangzi Hu, Fuke Wu, Chengming Huang

Type: Article

Publication Date: 2014-01-01

Citations: 0

DOI: https://doi.org/10.1155/2014/537674

Abstract

This paper discusses the stochastic Lotka-Volterra system with time-varying delay. The nonexplosion, the boundedness, and the polynomial pathwise growth of the solution are determined once and for all by the same criterion. Moreover, this criterion is constructed by the parameters of the system itself, without any uncertain one. A two-dimensional stochastic delay Lotka-Volterra model is taken as an example to illustrate the effectiveness of our result.

Locations

Project Euclid (Cornell University) - View - PDF
DOAJ (DOAJ: Directory of Open Access Journals) - View
Abstract and Applied Analysis - View - PDF

Similar Works

Action	Title	Year	Authors
+	Novel Stability Criteria of A Lotka-Volterra System with Time-varying Delays	2007	Wenjun Xiong Jigui Jian Jinde Cao
+	Stochastic Lotka–Volterra system with infinite delay	2009	Yong Xu Fuke Wu Yimin Tan
+	Stochastic Lotka–Volterra models with multiple delays	2010	Yangzi Hu Fuke Wu Chengming Huang
+	Permanence and asymptotic properties of fuzzy stochastic delay Lotka-Volterra model	2014	Qimin Zhang Shuo Ma Hongfu Yang
+	Generalized Stochastic Delay Lotka–Volterra Systems	2009	Juliang Yin Xuerong Mao Fuke Wu
+ PDF Chat	Global Asymptotic Stability of Stochastic Nonautonomous Lotka-Volterra Models with Infinite Delay	2013	Fengying Wei Yuhua Cai
+	Asymptotic Behaviour of Stochastic Delay Lotka-Volterra Model with Fractional Brownian Motion	2010	Qi Zhang
+	Analysis on stochastic delay Lotka–Volterra systems driven by Lévy noise	2014	Qun Liu Qingmei Chen Zhenhai Liu
+	Stochastic Lotka–Volterra model with infinite delay	2008	Li Wan Qinghua Zhou
+	Bifurcation Analysis in a Lotka-Volterra Model with Delay	2012	Chang Jin Xu
+	Asymptotic stability of stochastic delay Lotka-Volterra model with fractional Brownian motion	2010	Qimin Zhang Xining Li
+	The improved results on the stochastic Kolmogorov system with time-varying delay	2015	Yangzi Hu Fuke Wu
+	A Variable Delay Lotka-Volterra Population Model with White Noise	2010	Enwen Zhu
+	The Lotka-Volterra Competition System with Discrete and Distributed Time Delays	2008	Zhang Jia-fang
+	Permanence for a Discrete Periodic Lotka-Volterra System with Delays	2010	Qiuhong Chen
+	Stability in distribution of stochastic Lotka–Volterra delay system under regime switching	2017	Yanchao Zang Pingjun Hou Yuzhu Tian
+	A discrete periodic lotka-volterra system with delays	2004	Xianghua Zeng B. Shi Mingjiu Gai
+	Discrete Lotka–Volterra systems with time delay and its stability analysis	2025	Yusaku Yamamoto Tadatoshi Yamamoto T. Kuroiwa Kurumi Oka Emiko Ishiwata Masashi Iwasaki
+	GLOBAL SOLUTIONS AND BOUNDEDNESS OF STOCHASTIC FUNCTIONAL KOLMOGOROV SYSTEM WITH INFINITE DELAY	2009	Yong Xu Fuke Wu Shigeng Hu
+	The Analysis of Stochastic Lotka–Volterra Model in Polluted Environment	2016	Boqiang Cao Xining Li Qiang Li Ying Zhang

Works That Cite This (0)

Action	Title	Year	Authors

Works Cited by This (5)

Action	Title	Year	Authors
+	Stochastic Lotka–Volterra models with multiple delays	2010	Yangzi Hu Fuke Wu Chengming Huang
+	Existence results and the moment estimate for nonlocal stochastic differential equations with time-varying delay	2011	Yangzi Hu Chengming Huang
+	Stochastic Lotka–Volterra Population Dynamics with Infinite Delay	2009	Fuke Wu Yong Xu
+	Environmental Brownian noise suppresses explosions in population dynamics	2002	Xuerong Mao Glenn Marion Eric Renshaw
+	Asymptotic properties of stochastic population dynamics	2008	Sulin Pang Feiqi Deng Xuerong Mao