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- W2108950290 abstract "Abstract By using Lebesgue’s dominated convergence theorem and constructing a suitable Lyapunov functional, we study the following almost-periodic Lotka–Volterra model with $M$ predators and $N$ prey of the integro-differential equations begin{alignat*}{2} dot{x}_i(t)amp=x_i(t)biggl[b_i(t)-a_{ii}(t)x_i(t)-sum_{k=1,kneq i}^{N}a_{ik}(t)int_{-infty}^tH_{ik}(t-sigma)x_k(sigma),mathrm{d}sigma amphskip45mm-sum_{l=1}^{M}c_{il}(t)int_{-infty}^tK_{il}(t-sigma)y_l(sigma),mathrm{d}sigmabiggr],ampquad iamp=1,2,dots,N, dot{y}_j(t)amp=y_j(t)biggl[-r_j(t)-e_{jj}(t)y_j(t) +sum_{k=1}^{N}d_{jk}(t)int_{-infty}^tP_{jk}(t-sigma)x_k(sigma),mathrm{d}sigma amphskip45mm-sum_{l=1,lneq j}^{M} e_{jl}(t)int_{-infty}^tQ_{jl}(t-sigma)y_l(sigma),mathrm{d}sigmabiggr],ampquad jamp=1,2,dots,M. end{alignat*} Some sufficient conditions are obtained for the existence of a unique almost-periodic solution of this model. Several examples show that the obtained criteria are new, general and easily verifiable." @default.
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- W2108950290 date "2007-02-01" @default.
- W2108950290 modified "2023-09-28" @default.
- W2108950290 title "ALMOST-PERIODIC SOLUTIONS FOR AN ECOLOGICAL MODEL WITH INFINITE DELAYS" @default.
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- W2108950290 doi "https://doi.org/10.1017/s0013091504001233" @default.
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