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Exponential stability of pseudo almost periodic delayed Nicholson‐type system with patch structure
Author(s) -
Wang Wentao,
Liu Fuyao,
Chen Wei
Publication year - 2018
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.5364
Subject(s) - mathematics , exponential stability , ergodic theory , mathematical analysis , type (biology) , stability (learning theory) , exponential function , exponential dichotomy , exponential growth , ordinary differential equation , differential equation , nonlinear system , computer science , ecology , physics , quantum mechanics , machine learning , biology
In this paper, we consider the existence and global exponential stability of positive pseudo almost periodic solutions for a delayed Nicholson‐type system with patch structure. With the aid of ergodic theory and differential inequality technique, we prove the existence and global exponential stability of positive pseudo almost periodic solutions for the addressed system, which generalize and improve some known results. Specially, an example and its numerical simulations are provided to manifest the effectiveness of theoretical results.