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盐沼生态系统中植物和硫化物相互作用模型的稳定性分析

Stability Analysis of the Interaction Model Between Plantsand Sulfides in Salt Marsh Ecosystems
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摘要 研究了一类描述硫化物与植被相互作用反应扩散模型的空间动力学行为,通过线性稳定性分析以及构造Liapunov函数来讨论平衡点的局部稳定性与全局稳定性,并通过数值模拟验证了理论分析的结果. In this paper,the spatial dynamic behavior of a reaction-diffusion model describing the interaction between sulfide and vegetation is studied.The local stability and global stability of the equilibrium points are discussed by linear stability analysis and the construction of Liapunov function.And the theoretical analysis results are verified through numerical simulation.
作者 尹甜 喻凤斯 黄启华 YIN Tian;YU Feng Si;HUANG Qihua(School of Mathematics and Statistics,Southwest University,Chongqing 400715,China)
出处 《西南师范大学学报(自然科学版)》 CAS 2023年第4期60-66,共7页 Journal of Southwest China Normal University(Natural Science Edition)
关键词 反应扩散 平衡点 全局稳定性 reaction-diffusion equilibrium point global stability
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