单种群增长最简数学模型的一点注释

A NOTE ON A SIMPLEST GROWTH MODEL OF SINGLE-SPECIES POPUTATION

生态学的数学模型中最简单的是只考虑一个种群的生长过程。若假定在瞬时间δt中,每一个体产生的新个体数为αδt,于是得到描述单个种群增长的数学模型 dN=Nαdt=αNdt,α>0 （1）式中N是时间t时种群的个体数,而α为内禀（Intrinsic）增长率,这方程的解为 N=N0eαt （2）

In this paper we have reviewed the simplest stochastic growth model of single-species populationdN=aNdt+NdB (3)where B(t) is a wiener process. It was obtained by Maywe considered the other stochastic growth model(7)where X(t) is a Gaussian stationary process.We have analysed and compared their character and relation.