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Li, Yongkun; Wang, Pan

Permanence and almost periodic solution of a multispecies Lotka-Volterra mutualism system with time varying delays on time scales. (English) Zbl 1422.92121

Adv. Difference Equ. 2015, Paper No. 230, 29 p. (2015).
Summary: In this paper, we consider the almost periodic dynamics of a multispecies Lotka-Volterra mutualism system with time varying delays on time scales. By establishing some dynamic inequalities on time scales, a permanence result for the model is obtained. Furthermore, by means of the almost periodic functional hull theory on time scales and Lyapunov functional, some criteria are obtained for the existence, uniqueness and global attractivity of almost periodic solutions of the model. Our results complement and extend some scientific work in recent years. Finally, an example is given to illustrate the main results.

Cited in 6 Documents

MSC:

92D25 Population dynamics (general)
34K13 Periodic solutions to functional-differential equations
34N05 Dynamic equations on time scales or measure chains
93B52 Feedback control
92D40 Ecology
34K14 Almost and pseudo-almost periodic solutions to functional-differential equations

Keywords:

permanence; almost periodic solution; mutualism system; time delay; time scale
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References:

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