微生物捕食者与被捕食者系统的生态动力学研究  

Research on Ecological Dynamics of Microbial Predator&Prey System

作　　者：郑国玺 唐彩虹 毛俊雯[2] ZHENG Guoxi;TANG Caihong;MAO Junwen(Department of Physics,Zhejiang Normal University,Jinhua 321004,China;School of Science,Huzhou University,Huzhou 313000,China)

机构地区：[1]浙江师范大学物理与电子信息工程学院,浙江金华321004 [2]湖州师范学院理学院,浙江湖州313000

出　　处：《湖州师范学院学报》2021年第10期22-27,共6页Journal of Huzhou University

基　　金：国家自然科学基金项目(11575059).

摘　　要：微生物系统的捕食与被捕食是常见的种群间相互作用类型.构建一个微生物捕食者(N_(1))与被捕食者(N_(2))模型,结合稳定性分析和数值模拟方法,得到菌群灭绝和稳定共存的控制条件,从而发现捕食细菌的死亡率(γ_(1))是影响微生物群落结构和稳定性的重要因素.进一步研究表明,模型系统平衡时的种群相对丰度与捕食细菌的生长速率、捕食能力有着密切的关系.该研究结果为理解微生物系统的动力学特征提供了重要的理论预测,对研究医学、农牧业和食品加工等相关生态系统的稳定性具有指导意义.The predator and prey interactions are popular in microbial systems.In this paper,we construct a model of microbial predator(N_(1))and prey(N_(2)).By taking the stability analysis and numerical simulations into account,we obtain two kinds of stable fixed points of microbial community:extinction and stable coexistence.The mortality of predatory bacteria(N_(1))plays an important role on the structure and stability of microbial community.Further studies show that the relative abundance of bacteria in equilibrium is greatly depend on the growth rate and predation ability of the predator.The results provide an important theoretical prediction to understand the kinetic characteristics of microbial community,and might give insights into the study of ecosystem stability related to medicine,animal agriculture and food processing.

关 键 词：微生物捕食-被捕食系统 稳定性分析 四阶Rugge-Kutta法 共存 

分 类 号：O175[理学—数学]