J4 ›› 2012, Vol. 50 ›› Issue (03): 482-.

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Consistence and Asymptotic Distribution of Parameters Estimatorsof Food Limited Species Model with Random Perturbation

HAN Qixing1, SUN Weizhi2   

  1. 1. School of Mathematics, Changchun Normal University, Changchun 130032, China;2. College of Science, Changchun University of Science and Technology, Changchun 130022, China
  • Received:2011-06-28 Online:2012-05-26 Published:2012-05-28
  • Contact: SUN Weizhi E-mail:wzsun@nenu.edu.cn

Abstract:

We investigated a random food limit species modelN[DD(-*3]·[DD)〗(t)=N(t)〖JB((〗〖SX(〗K-N(t)〖〗K+CN(t)〖SX)〗〖JB))〗(r+αB[DD(-*3]·[DD)〗(t))using both stochastic differential equation theory and statistical theory, where B(t) is the 1dimensional standard
 Brownian motion with B(0)=0 and 0

Key words: foodlimit species model, maximum likelihood estimation, consistence, asymptotic distribution

CLC Number: 

  • O211.63