Year: 2022
Author: Xueqing He, Ming Liu, Xiaofeng Xu
Journal of Nonlinear Modeling and Analysis, Vol. 4 (2022), Iss. 4 : pp. 677–685
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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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2022.677
Journal of Nonlinear Modeling and Analysis, Vol. 4 (2022), Iss. 4 : pp. 677–685
Published online: 2022-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 9
Keywords: Spruce budworm model Stochastic perturbation Global solution.