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| Dynamic Analysis of Stochastic Spruce Budworm Differential Model with Time Delay |
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| KeyWord:Spruce budworm model Stochastic perturbation Global solution |
| Author Name | Affiliation | | 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 |
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| 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. |
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