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- W2058732322 abstract "Consider the permanence and global asymptotic stability of models governed by the following Lotka-Volterra-type system: x ̇ i (t) = x i (t) {r i − α i x i (t) − a i x i−1 (t − γ i,i−1 ) − b i x i (t − γ i,i ) − c i x i+1 (t − γ i,i+1 )} , with initial conditions x i (t) = φ i (t) ≥ o, t ≤ t 0 , and φ i (t 0 ) > 0. 1 ≤ i ≤n . We define x 0 ( t ) = x n +1 ( t )≡0 and suppose that φ i ( t ), 1 ≤ i ≤ n , are bounded continuous functions on [ t 0 , + ∞) and γ i , α i , c i > 0, γ i , j ≥ 0, for all relevant i , j . Extending a technique of Saito, Hara and Ma[1] for n = 2 to the above system for n ≥ 2, we offer sufficient conditions for permanence and global asymptotic stability of the solutions which improve the well-known result of Gopalsamy." @default.
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- W2058732322 date "2003-11-01" @default.
- W2058732322 modified "2023-09-26" @default.
- W2058732322 title "Permanence and global stability in a Lotka-Volterra predator-prey system with delays" @default.
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- W2058732322 doi "https://doi.org/10.1016/s0893-9659(03)90124-8" @default.
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