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具有食饵互惠的随机三种群捕食模型的持续与灭绝 被引量:1

Persistence and extinction for a stochastic three species predation model with prey mutualism
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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.
出处 《黑龙江大学自然科学学报》 CAS 北大核心 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)
关键词 随机捕食模型 食饵互惠 持续生存 灭绝 stochastic predation model prey mutualism persistence extinction
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