Kybernetika 53 no. 4, 612-629, 2017

Existence and global attractivity of positive almost periodic solutions for a kind of fishing model with pure-delay

Tianwei Zhang and Yongzhi LiaoDOI: 10.14736/kyb-2017-4-0612

Abstract:

By using some analytical techniques, modified inequalities and Mawhin's continuation theorem of coincidence degree theory, some sufficient conditions for the existence of at least one positive almost periodic solution of a kind of fishing model with delay are obtained. Further, the global attractivity of the positive almost periodic solution of this model is also considered. Finally, three examples are given to illustrate the main results of this paper.

Keywords:

almost periodic solution, coincidence degree, fishing model, global attractivity

Classification:

34K13, 92D25

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