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恒化器中两种群适应性生长模型
引用本文:郑承民,刘芳园.恒化器中两种群适应性生长模型[J].数学的实践与认识,2011,41(8).
作者姓名:郑承民  刘芳园
作者单位:新疆师范大学数学科学学院,新疆乌鲁木齐,830054
摘    要:研究两种微生物基于恒化器培养的数学模型.微生物1因适应生存环境营养供给的变化而具有休眠特性,表现为活跃生长与休眠两种生存状态.微生物2不能休眠.经过数学分析和数值模拟,结论是当系统生产常数μ_0<1时,两种微生物不能在恒化器中生存.而当μ_0>1,会出现多种稳定的极限状态E_i,i=1,2,3,4,5.数值模拟也显示出当营养吸收转化率和定量输入的营养浓度确定时,两种微生物的最大生长率决定了竞争结果.

关 键 词:适应性  稳定性  共存

The Models of Two Populations with Adaptive Nutrient Uptake in a Chemostat
ZHENG Cheng-min,LIU Fang-yuan.The Models of Two Populations with Adaptive Nutrient Uptake in a Chemostat[J].Mathematics in Practice and Theory,2011,41(8).
Authors:ZHENG Cheng-min  LIU Fang-yuan
Institution:ZHENG Cheng-min,LIU Fang-yuan (Institute of Mathematical Sciences,Xinjiang Normal University,Urumqi Xinjiang 830054,China)
Abstract:This paper discusses the models with two microbial populations based on a chemostat.Microbial population 1 will transition from a rapidly growing normal to a non-growing state and back in order to adapt the new settling environment.But the microbial population 2 can't be quiescent.After detailedly analysising and simulation it has when the system basic reproductive numberμ_0>1 then two populations will be asymptotic to a steady state of E_i,i = 1,2,3,4,5.But they will die out whenμ_0<1.
Keywords:adaption  stability  coexistence  
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