News & Announcements
Links
Dynamic Analysis of Stochastic Spruce Budworm Differential Model with Time Delay
  
View Full Text  View/Add Comment  Download reader
KeyWord:Spruce budworm model; Stochastic perturbation; Global solution
Author NameAffiliation
Xueqing He Department of Mathematics, Northeast Forestry University, Harbin, Heilongjiang 150040, China 
Ming Liu Department of Mathematics, Northeast Forestry University, Harbin, Heilongjiang 150040, China 
Xiaofeng Xu School of Mathematical Sciences, Heilongjiang University, Harbin, Heilongjiang 150080, China 
Hits: 5
Download times: 13
Abstract:
      In this paper, we consider a stochastic spruce budworm differential model with time delay. Based on the nonnegative initial conditions, the existence and uniqueness of the global positive solution are easily found. Then, we obtain the ultimate boundedness of solution in mean under the same conditions. Furthermore, we verify that the sample Lyapunov exponent of solution is less than a positive constant. Finally, numerical examples are presented to show the consistency of the theoretical results.