Existence and Uniqueness of Positive Solutions of a Randomized Spruce Budworm Model

Yan Qiu Li; Hai Long Gao

doi:10.4028/www.scientific.net/AMR.785-786.1198

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 785-786Existence and Uniqueness of Positive Solutions of...

Existence and Uniqueness of Positive Solutions of a Randomized Spruce Budworm Model

Abstract:

Spruce Budworm is the most destructive defoliator of coniferous forests in Western North America .This paper discusses a randomized Spruce Budworm model with HollingIII Functional Response. Using results from lyapunov function, we show that the positive solution of the associated stochastic differential equation does not explode to infinity in a finite time under simple assumption .It is shown to improve existing results.

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Periodical:

Advanced Materials Research (Volumes 785-786)

Pages:

1198-1202

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.785-786.1198

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Online since:

September 2013

Authors:

Yan Qiu Li, Hai Long Gao

Keywords:

Explode, Functional Response, Ito Formula, Randomized, Spruce Budworm Model

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