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Permanence and almost periodic solution of a Lotka-Volterra model with mutual interference and time delays. (English) Zbl 1351.34080

Summary: In this paper, a Volterra model with mutual interference and time delays is investigated. By applying the comparison theorem of the differential equations and constructing a suitable Lyapunov functional, sufficient conditions which guarantee the permanence and existence of a unique globally attractive positive almost periodic solution of the system are obtained. Two suitable examples together with their numeric simulations are given to illustrate our results by using MatLab.

MSC:

34K14 Almost and pseudo-almost periodic solutions to functional-differential equations
92D25 Population dynamics (general)
34K25 Asymptotic theory of functional-differential equations
34C25 Periodic solutions to ordinary differential equations

Software:

Matlab
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References:

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