共查询到16条相似文献,搜索用时 62 毫秒
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研究了一类具有抑制剂和质载的非均匀恒化器模型.首先,采用锥映射上不动点指标理论得到了物种共存的充分条件.然后,根据度理论及摄动理论,研究了模型正平衡态解的唯一性和稳定性.结果表明当抑制剂的影响充分大时,模型存在唯一的渐近稳定的共存解.最后,利用比较原理和一致持续理论研究了系统的长时行为,并采用数值模拟的方法对所得结论进行了验证和补充. 相似文献
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本文提出了一个具有时滞的周期非均匀单种营养基——双种微生物的竞争恒化器模型,利用半群理论, 获得了该模型解的存在唯一性. 进一步, 建立了该模型的竞争排斥原理, 给出了两竞争物种共存的充分条件. 相似文献
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董庆来 《数学的实践与认识》2014,(17)
基于"比例依赖"理论,研究了一类具有时滞和Watt型功能反应函数的恒化器模型.详细讨论了正平衡点的局部渐近稳定性,证明了系统在特定的时滞参量值下将产生Hopf分支.利用Lyapunov-LaSalle不变性原理,得到了正平衡点全局渐近稳定的充分条件. 相似文献
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本文讨论了一类在单种营养物输入的未搅拌恒化器中的简单食物网模型,该模型除了营养物以外,还包含有一个捕食者种群和两个竞争的食饵种群.应用Dancer不动点指数和度理论的知识,给出了该系统共存态存在的充分必要条件. 相似文献
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本文研究具有周期脉冲输入营养基和Beddington-DeAnglis功能反应捕食一食饵系统.通过分析营养基和食饵的子系统,获得系统的边界周期解.对边界周期解稳定性的分析,得到了捕食者侵入的阈值. 相似文献
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研究了一类在污染环境下的具有脉冲输入和资源循环的Monod型恒化器模型,利用Floquet定理和脉冲微分方程解的比较定理,我们得出了系统的微生物灭绝周期解全局渐近稳定以及系统持久的充分条件. 相似文献
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Hua Nie Jian-hua Wu 《应用数学学报(英文版)》2006,22(2):257-264
This paper is concerned with the unstirred chemostat model with two-species and one non-reproducingresource.The global attractivity of the positive steady-state solutions of the original system is established.Moreover,the effects of the growth rate on the unique positive equilibrium of the single population model arestudied. 相似文献
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Hua Nie 《Journal of Mathematical Analysis and Applications》2007,334(2):889-908
This paper deals with a chemostat model with an internal inhibitor. First, the elementary stability and asymptotic behavior of solutions of the system are determined. Second, the effects of the inhibitor are considered. It turns out that the parameter μ, which measures the effect of the inhibitor, plays a very important role in deciding the stability and longtime behavior of solutions of the system. The results show that if μ is sufficiently large, this model has no coexistence solution and one of the semitrivial equilibria is a global attractor when the maximal growth rate a of the species u lies in certain range; but when a belongs to another range, all positive solutions of this model are governed by a limit problem, and two semitrivial equilibria are bistable. The main tools used here include monotone system theory, degree theory, bifurcation theory and perturbation technique. 相似文献
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1 Introduction This paper is concerned with competition of two organisms in an un-stirred chemostat-typesystem in the presence of an inhibitor. The basic assumption is that the inhibitor is from anexternal source and is lethal to one competitor but not to the other competitor which can takeit up harmlessly. The pioneering work in this direction is that of Lenski and Hattingh. Theyconsidered the effect of the inhibitor on populations of the two organisms in a "well-stirred" bio- 相似文献
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研究营养基被污染且脉冲扰动的时滞Chemostat模型.利用离散动力系统频闪映射,得到了微生物种群灭绝周期解,且它是全局吸引的;利用时滞脉冲微分方程理论,得到了系统持久的条件.结论提示了时滞增长反应对Chemostat的产量起着重要的作用. 相似文献
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讨论了带有扩散和Beddington-DeAngelis响应函数的捕食模型在齐次Dirichlet边界条件下的正平衡态,给出了正平衡态存在的一个充要条件,当猎物种群相互干扰强的时候,得到正平衡态的稳定性与唯一性。 相似文献