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author:

Xia, Y. (Xia, Y..) [1] | Cao, J. (Cao, J..) [2]

Indexed by:

Scopus

Abstract:

By using comparison theorem and constructing suitable Lyapunov functional, we study the following periodic Lotka-Volterra model with M-predators and N-preys by "pure-delay type" {{x}i(t)= x i(t)[bi(t) -∑nk=1a {ik}(t)xk(t-τxk(t))- ∑n {l=1}cil(t)yl(t-σil(t))], & i=1,2, N. yj(t)=yj(t)[[-rj(t) + ∑ N{k=1}djk(t)xk(t- ζjk(t))-∑Ml=1ejl(t) yl(t-ηjl(t))] & \quad j=1,2, M. A set of easily verifiable sufficient conditions are obtained for the existence and global attractivity of a unique positive almost periodic solution of the above model, which improve and generalize some known results. © Springer 2005.

Keyword:

Global attractivity; Periodic and almost periodic solution; Predator-prey system; Pure-delay type

Community:

  • [ 1 ] [Xia, Y.]Department of Mathematics, Fuzhou University, Fuzhou, Fujian 350002, China
  • [ 2 ] [Xia, Y.]Department of Mathematics, Southeast University, Nanjing 210096, China
  • [ 3 ] [Cao, J.]Department of Mathematics, Southeast University, Nanjing 210096, China

Reprint 's Address:

  • [Cao, J.]Department of Mathematics, Southeast University, Nanjing 210096, China

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Source :

Nonlinear Dynamics

ISSN: 0924-090X

Year: 2005

Issue: 3

Volume: 39

Page: 275-304

0 . 6 4 7

JCR@2005

5 . 2 0 0

JCR@2023

JCR Journal Grade:2

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 0

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