捕食-被捕食微分方程种群模型的研究综述

捕食-被捕食微分方程种群模型的研究综述 Research Summary to Population Model of Predator-Prey Differential Equations 汪维刚 WANG Weigang 1 first-author 史娟荣 SHI Juanrong 2 莫嘉琪 MO Jiaqi 3 安庆师范学院桐城教学部 安庆师范学院桐城教学部 Tongcheng Teaching Department,Anging Teacher’s College Tongcheng Teaching Department,Anging Teacher’s College 安徽机电职业技术学院基础教学部 安徽机电职业技术学院基础教学部 Department of Basic Teaching,Anhui Technical College of Mechanical and Electrical Engineering Department of Basic Teaching,Anhui Technical College of Mechanical and Electrical Engineering 安徽师范大学数学系 安徽师范大学数学系 Department of Mathematics,Anhui Normal University Department of Mathematics,Anhui Normal University 分别从捕食-被捕食微分方程种群模型的定性研究,种群模型的古典整体解,种群模型的周期解,种群模型的脉冲解,捕食-被捕食种群时滞问题,多种群间的反应扩散模型和奇摄动种群模型渐近解等方面论述了捕食-被捕食微分方程种群模型近年来的研究成果.探讨了种群模型今后研究方向并对发展前景作了瞻望. The research achievements about the typical population model,the qualitative study of population model,the classic integral solution of population model,the periodical solution of population model,the periodic solution of population model,the time delay problem of predator-prey population,the reaction diffusion model in multi-populations and the asymptotic solution of singular perturbation population model are recounted respectively.Finally,we simply look into the future for the research area. 捕食-被捕食 种群模型 周期解 predator-prey population model periodical solution 10.14188/j.1671-8836.2015.04.001 O175 国家自然科学基金资助项目（11202106）;安徽省高等学校省级自然科学研究重点项目（KJ2013A133） 2015-04-01 2021-03-31 4 61