an:07026018
Zbl 1408.34067
Wang, Wentao; Wang, Liqing; Chen, Wei
Stochastic Nicholson's blowflies delayed differential equations
EN
Appl. Math. Lett. 87, 20-26 (2019).
00428215
2019
j
34K60 34K12 92D25 60J65
stochastic delayed differential equation; Brownian motion; ultimate boundedness; It?? formula
Summary: In this paper, we consider a class of stochastic Nicholson's blowflies delayed differential equations. Firstly, we obtain the existence and uniqueness of the global positive solution with nonnegative initial conditions. Then the ultimate boundedness in mean of solution is derived under the same condition. Moreover, we estimate the sample Lyapunov exponent of the solution, which is less than a positive constant. In the end, an example with its numerical simulations is carried out to validate the analytical results.