食饵种群具有Smith增长的一类捕食系统的经济捕获模型  

A economic harvesting model of predator-prey system for prey species with Smith growth

作　　者：俞美华[1] 

机构地区：[1]东南大学成贤学院基础部,江苏南京210088

出　　处：《高师理科学刊》2015年第10期28-32,共5页Journal of Science of Teachers＇College and University

摘　　要：建立了一类食饵具有Smith增长的捕食系统的经济捕获模型.运用微分方程稳定性理论研究了模型平衡点的稳定性,并得到平衡点渐近稳定的充分条件.对结论进行了生态解释,并且运用Matlab对平衡点的稳定性进行了仿真.Constructed an economic harvesting model of predator-prey system for prey species with Smith growth.The stability of the equilibriums was studied andthe sufficient conditions of the stability for the equilibriums were obtained by the stability theory of ordinary differential equation.The ecological significances for the above conclusions were explained and the stability of the equilibriums was illustrated by Matlab.

关 键 词：Smith增长 捕食系统 经济捕获 稳定性 

分 类 号：O175.1[理学—数学] Q141[理学—基础数学]