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

摘要

Spruce Budworm is the most destructive defoliator of coniferous forests in Western North America .This paper discusses a randomized Spruce Budworm model with Hollingin 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.