具有食饵互惠的随机三种群捕食模型的持续与灭绝  

Persistence and extinction for a stochastic three species predation model with prey mutualism

作　　者：赵治涛[1] 张开蕊[1] 张玲[2] 

机构地区：[1]黑龙江大学数学科学学院,哈尔滨150080 [2]佳木斯大学理学院,佳木斯154007

出　　处：《黑龙江大学自然科学学报》2017年第1期19-30,共12页Journal of Natural Science of Heilongjiang University

基　　金：国家自然科学基金资助项目(11201128);黑龙江省教育厅科学技术研究项目(12541621)

摘　　要：考虑一类随机三种群捕食模型的持续性与灭绝性,该系统两个具有互惠关系的食饵种群被一个捕食者种群捕食。在一些假设条件下,利用伊藤公式,建立种群持续生存与灭绝的充分性条件。数值模拟验证和补充了理论结果。The persistence and extinction for a stochastic three species predation model is considered. In this system, two preys cooperated with each other are caught by the third species. Under some assumptions, by using Itos formula, a sufficient condition of the persistence and extinction for the species is established. Some numerical simulations are carried out to support and supply the theoretical results.

关 键 词：随机捕食模型 食饵互惠 持续生存 灭绝 

分 类 号：O175[理学—数学]