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Permanence and almost periodic solution of a multispecies Lotka-Volterra mutualism system with time varying delays on time scales
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.Comment: 31page