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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.
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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
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ESI Highly Cited Papers on the List: 0 Unfold All
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