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Volume 4, Issue 4
Dynamic Analysis of Stochastic Spruce Budworm Differential Model with Time Delay

Xueqing He, Ming Liu & Xiaofeng Xu

DOI: 10.12150/jnma.2022.677

J. Nonl. Mod. Anal., 4 (2022), pp. 677-685.

Published online: 2023-08

[An open-access article; the PDF is free to any online user.]

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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.

  • Keywords

Spruce budworm model, Stochastic perturbation, Global solution.

  • AMS Subject Headings

34E10, 65C99

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JNMA-4-677, author = {He , XueqingLiu , Ming and Xu , Xiaofeng}, title = {Dynamic Analysis of Stochastic Spruce Budworm Differential Model with Time Delay}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2023}, volume = {4}, number = {4}, pages = {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.

}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2022.677}, url = {http://global-sci.org/intro/article_detail/jnma/21905.html} }
TY - JOUR T1 - Dynamic Analysis of Stochastic Spruce Budworm Differential Model with Time Delay AU - He , Xueqing AU - Liu , Ming AU - Xu , Xiaofeng JO - Journal of Nonlinear Modeling and Analysis VL - 4 SP - 677 EP - 685 PY - 2023 DA - 2023/08 SN - 4 DO - http://doi.org/10.12150/jnma.2022.677 UR - https://global-sci.org/intro/article_detail/jnma/21905.html KW - Spruce budworm model, Stochastic perturbation, Global solution. AB -

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.

Xueqing He, Ming Liu & Xiaofeng Xu. (2023). Dynamic Analysis of Stochastic Spruce Budworm Differential Model with Time Delay. Journal of Nonlinear Modeling and Analysis. 4 (4). 677-685. doi:10.12150/jnma.2022.677
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