EXTINCTION IN AUTONOMOUS REACTION-DIFFUSION LOTKA-VOLTERRA SYSTEMS WITH NONLOCAL DELAYS

被引：0
作者：
Zhong Li [1 ]
机构：
[1] College of Math,and Computer Science,Fuzhou University
来源：
AnnalsofAppliedMathematics | 2015年 / 31卷 / 02期
关键词：
extinction; autonomous; reaction-diffusion; Lotka-Volterra; nonlocal delays;
D O I：
暂无
中图分类号：
O175 [微分方程、积分方程];
学科分类号：
070104 ;
摘要：
In this paper,we consider an autonomous reaction-diffusion Lotka-Volterra systems with nonlocal delays.Using an iterative technique,we prove that n- 1 species are driven to extinction while the remaining species are globally stable.Finally,we present an example to verify our main result.
引用
收藏
页码：182 / 189
页数：8
相关论文
共 16 条
  • [1] Hopf bifurcation analysis in a diffusive food-chain model with time delay
    Tian, Canrong
    Zhang, Lai
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2013, 66 (10) : 2139 - 2153
  • [2] Asymptotic behavior of the reaction–diffusion model of plankton allelopathy with nonlocal delays[J] . Zhong Li,Fengde Chen,Mengxin He.Nonlinear Analysis: Real World Applications . 2011 (3)
  • [3] Extinction in nonautonomous competitive Lotka–Volterra systems with infinite delay[J] . Francisco Montes de Oca,Liliana Pérez.Nonlinear Analysis . 2011 (2)
  • [4] Global stability in a diffusive Holling–Tanner predator–prey model[J] . Shanshan Chen,Junping Shi.Applied Mathematics Letters . 2011 (3)
  • [5] Global asymptotic stability of Lotka–Volterra competition reaction–diffusion systems with time delays[J] . Yuan-Ming Wang.Mathematical and Computer Modelling . 2010 (1)
  • [6] A predator–prey system with stage-structure for predator and nonlocal delay[J] . Zhigui Lin,Michael Pedersen,Lai Zhang.Nonlinear Analysis . 2009 (3)
  • [7] Global stability of a reaction-diffusion predator–prey model with a nonlocal delay[J] . Rui Xu,Zhien Ma.Mathematical and Computer Modelling . 2009 (1)
  • [8] Convergence of solutions for Volterra–Lotka prey–predator systems with time delays[J] . Yanling Li,Jianhua Wu.Applied Mathematics Letters . 2008 (2)
  • [9] Global asymptotic stability of 3-species Lotka–Volterra models with diffusion and time delays[J] . Yuan-Ming Wang.Applied Mathematics and Computation . 2007 (1)
  • [10] Global asymptotic stability of Lotka–Volterra competition systems with diffusion and time delays[J] . C.V. Pao.Nonlinear Analysis: Real World Applications . 2003 (1)
12