The Dynamics of a Stochastic Harrison Predation Model
The research of mathematical biology model has got the extensive application through the extensiveapplication through the development of a century. The study about mathematical biology become more and moreimportant in the 21th century. The intersectant domain will be researched mainly between mathematical biologyand other subjects. Compared with the determinate mathematical biology model, species ecology systems are oftensubject to environmental noise. It is important to discover whether the presence of a such noise affects these resultsthat we have obtained by applying the stochastic differential equation. In this paper, we study the dynamics of astochastic Harrison predator-prey model. By the comparison theorem of stochastic equations and Ito’s formula, weshow there is a unique positive solution to the model with positive initial value, which is uniformly bounded inmean.
Harrison functional response Brownian motions Ito’s formula uniformly bounded in mean
Hao PENG Weiming WANG
College of Mathematics and Information Science Wenzhou University Wenzhou, 325035 P.R. China
国内会议
杭州
英文
424-428
2011-08-07（万方平台首次上网日期，不代表论文的发表时间）