Traveling Wave Fronts of Delayed Lotka-Volterra System on Lattice

( views:206, downloads:0 )
ZHU Fu-guo()
Journal Title:
Journal of Biomathematics
Volume 27, Issue 01, 2012
Key Word:


  • [1]Volpert A I,Volpert V A,Volpert V A.Travelling Wave Solutions of Parabolic Systems[M].Providence,Rhode Island:AMS,1994.
  • [2]Ding W,Han M A.Traveling waves for a diffusive population models with time delays[J].Journal of Biomathematics,2005,20(1):11-16.
  • [3]霍罡,靳祯,张芬芬.一类SI传染病模型行波解的存在性[J].生物数学学报,2008,23(4):661-667.
  • [4]Keener J P.Propagation and its failure to coupled systems of discrete excitable cells[J].SIAM Journal on Applied Mathematics,1987,47(3):556-572.
  • [5]Wu J,Zou X.Asymptotic and periodic boundary value problems of mixed FDEs and wave solutions of lattice differential equations[J].Journal of Differential Equations,1997,135(2):315-357.
  • [6]黄建华,陆刚.时滞格微分方程组的行波解[J].数学年刊,2004,25(2):153-164.
  • [7]Huang J,Lu G,Zou X.Existence of traveling wave fronts of delayed lattice differential equations[J].Journal of Mathematical Analysis and Applications,2004,298(2):538-558.
  • [8]Ma S,Weng P,Zou X.Asymptotic speed of propagation and traveling wavefront in a lattice delayed differential equation[J].Nonlinear Analysis TMA,2006,65(10):1858-1890.
  • [9]Ma S,Zou X.Propagation and its failure in a lattice delayed differeutial equation with global interaction[J].Journal of Differential Equations,2005,212(1):129-190.
  • [10]Ma S,Zou X.Existence,uniqueness and stability of traveling waves in a discrete reaction-diffusion equation with delay[J].Journal of Differential Equations,2005,217(1):54-87.
  • [11]Lv G,Wang M.Existence,uniqueness and stability of traveling ave fronts of discrete quasi-linear equations with delay[J].Discrete and Continuous Dynamical Systems Series B,2010,13(2):415-433.
  • [12]Lin G,Li W T,Ma M.Travelling wave solutions in delayed reaction diffusion systems with applications to multi-species models[J].Discrete and Continuous Dynamical Systems Series B,2010,13(2):393-414.
  • [13]Li X S,Lin G.Traveling wavefronts in nonlocal dispersal and cooperative Lotka-Volterra system with delays[J].Applied Mathematics and Computation,2008,204(2):738-744.
  • [14]Huang J,Huang L.Traveling wavefronts in delayed cooperative and diffusive systems with non-local effects[J].Applied Mathematics-A Journal of Chinese Universities,2005,20(3):363-375.
  • [15]Shigesada N,Kawasaki K.Biological Invasions:Theory and Practice[M].Oxford:Oxford University Press,1997.
WanfangData CO.,Ltd All Rights Reserved
About WanfangData | Contact US
Healthcare Department, Fuxing Road NO.15, Haidian District Beijing, 100038 P.R.China
Tel:+86-010-58882616 Fax:+86-010-58882615