A discrete periodic lotka-volterra system with delays

In this paper, we investigate the following discrete periodic Lotka-Volterra system with delays: x(n+1)=x(n) exp b(n)− ∑ i=1 q a i(n)x(n−t i)− ∑ j=1 m c j(n)y(n−l i) , y(n+1)=y(n) exp r(n)− ∑ i=1 q d i(n)x(n−k i)− ∑ j=1 m e j(n)y(n−s i) , The sufficient and realistic conditions are obtained for the...

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Bibliographic Details
Published inComputers & mathematics with applications (1987) Vol. 47; no. 4; pp. 491 - 500
Main Authors Zeng, X.Y, Shi, B, Gai, M.J
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.02.2004
Subjects
Discrete Lotka-Volterra system
Periodicity
Permanence
Positive periodic solutions
Positive periodic solutions
Discrete Lotka-Volterra system
Permanence
Periodicity
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Summary:In this paper, we investigate the following discrete periodic Lotka-Volterra system with delays: x(n+1)=x(n) exp b(n)− ∑ i=1 q a i(n)x(n−t i)− ∑ j=1 m c j(n)y(n−l i) , y(n+1)=y(n) exp r(n)− ∑ i=1 q d i(n)x(n−k i)− ∑ j=1 m e j(n)y(n−s i) , The sufficient and realistic conditions are obtained for the existence of positive periodic solutions and the permanence for the above system.
ISSN:0898-1221
1873-7668
DOI:10.1016/S0898-1221(04)90040-5