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具有延迟群体感应的浮游植物系统解的存在性、唯一性和稳定性分析

Existence,Uniqueness and Stability Analysis of Phytoplankton System with Delayed Quorum Sensing
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摘要 基于基本的Lotka-Volterra数学模型,通过引入延迟项构建了具有延迟群体感应的浮游植物竞争模型,进一步分析了延迟系统解的存在、唯一性和平衡点的稳定性。数值模拟证明了理论结果的正确性。 Based on the classical Lotka-Volterra model,a competition model between the two populations of phytoplankton species is established with delayed quorum sensing mechanism.Some conditions are proposed to guarantee the existence,uniqueness and stability of equilibrium point and numerical simulations supports the theoretical results.
作者 华楠 黄炎 胡满峰
机构地区 江南大学理学院
出处 《江南大学学报（自然科学版）》 CAS 2011年第3期328-333,共6页 Joural of Jiangnan University (Natural Science Edition)　
基金 国家自然科学基金项目(10901073) 2010年校级大学生创新计划项目
关键词 延迟群体感应 存在性 唯一性 稳定性 delayed quorum sensing existence uniqueness stability
分类号 O175.1 [理学—基础数学]
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参考文献11

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共引文献34

江南大学学报（自然科学版）
2011年 第3期

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