具有捕获项的三种群浮游生态系统的动力学分析  

Dynamic Analysis of Three Species of Plankton Ecosystem with Harvesting term

作　　者：郭艳芬[1] 江志超[2] 刘少南 张静[2] 毕晓华[2] GUO Yan-fen;JIAN Zhi-chao;LIU Shao-nan;ZHANG Jing;BI Xiao-hua(Fundamental Education Department, Beijing Polytechnic College, Beijing 100042, China;Fundamental Science Department, North China Institute of Aerospace Engineering, Langfang 065000, China;Hebei Normal University School of Mathematics and Information Science, Shijiazhuang 050024, China)

机构地区：[1]北京工业职业技术学院基础教育学院,北京100042 [2]北华航天工业学院基础部,河北廊坊065000 [3]河北师范大学数学与信息科学学院,河北石家庄050024

出　　处：《数学的实践与认识》2019年第11期282-291,共10页Mathematics in Practice and Theory

基　　金：国家自然科学基金(11801014,11875001);河北省自然科学基金(A2018409004);北华航天工业学院博士基金项目(BKY-2016-01);北京工业职业技术学院科研项目(bgzyky 201744z);河北省高校百名优秀创新人才支持计划(Ⅲ)第二批;2019河北省人才培养工程资助项目

摘　　要：研究了三种群NP-P-Z浮游生态系统,考虑捕获和扩散的影响.重点考察了无扩散系统正平衡点的局部和全局渐近稳定性,最优捕获策略和扩散系统的图灵不稳定性.最后,利用数值模拟验证了理论的正确性.In this paper,a three species NP-P-Z of plankton ecosystem is investigated considering the effects of harvesting and diffusion. The local and global asymptotic stability of the positive equilibrium of the non-diffusion system and optimal harvesting policy are investigated. For the diffusion system, the conditions of Turing instability are given. At last,numerical simulations are used to verify the correctness of the theory.

关 键 词：NP-P-Z模型 全局稳定性 最优捕获 图灵不稳定性 

分 类 号：O175[理学—数学] Q178[理学—基础数学]