Paper Info
Title
Stochastic Nicholson-Type Delay Differential System
Abstract
Focusing on Nicholson-type delay differential system in random environments, we introduce the stochastic system to model the dynamics of Nicholson's blowflies population sizes with mortality rates perturbed by white noises. We study the existence and uniqueness of the global positive solution with nonnegative initial conditions. Then the ultimate boundedness in the mean of a solution is derived under the same condition. Moreover, we estimate the sample Lyapunov exponent of the solution, which is less than a positive vector. Finally, an example with its numerical simulations is carried out to support theoretical results.
Year
DOI
Venue
2021
10.1080/00207179.2019.1651941
INTERNATIONAL JOURNAL OF CONTROL
Keywords
DocType
Volume
Stochastic Nicholson-type delay differential system, Brownian motion, ultimate boundedness, Ito formula
Journal
94
Issue
ISSN
Citations 
5
0020-7179
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Wentao Wang100.34
Ce Shi201.35
Wei Chen31711246.70