Author:
Wang Wentao,Deng Guifeng,Chen Wei
Abstract
AbstractConsidering stochastic perturbations of white and color noises, we introduce the Markov switched stochastic Nicholson-type delay system with patch structure. By constructing a traditional Lyapunov function we show that solutions of the addressed system are not only positive, but also do not explode to infinity in finite time and, in fact, are ultimately bounded. Then we estimate its ultimate boundedness, moment, and Lyapunov exponent. Finally, we present an example of numerical simulations to verify theoretical results.
Funder
Natural Scientific Research Fund of Zhejiang Province of China
Shanghai Talent Development Fund
‘Xulun’ Scholar Plan of Shanghai Lixin University of Accounting and Finance
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Algebra and Number Theory,Analysis
Cited by
3 articles.
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