| 一类具反馈控制的偏利模型平衡点的稳定性 |
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| 引用本文： | 吴丽萍.一类具反馈控制的偏利模型平衡点的稳定性[J].延边大学理工学报,2022,0(1):30-36. |
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| 作者姓名： | 吴丽萍 |
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| 作者单位： | (闽江学院 数学与数据科学学院(软件学院), 福州 350108) |
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| 摘 要： | 研究一类具有反馈控制变量和出生率具有密度制约的偏利共生模型的平衡点稳定性.首先通过分析系统的平衡点,得到系统正平衡点和边界平衡点存在的条件; 其次通过构造适当的Lyapunov函数,得到在一定条件下系统的正平衡点和边界平衡点是全局稳定的; 最后利用数值模拟验证了所得结果的正确性.
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| 关 键 词： | 偏利模型 反馈控制 出生率密度制约 全局稳定 |
Stability of the equilibrium for a commensal symbiosis model with feedback controls |
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| WU Liping.Stability of the equilibrium for a commensal symbiosis model with feedback controls[J].Journal of Yanbian University (Natural Science),2022,0(1):30-36. |
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| Authors: | WU Liping |
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| Affiliation: | (College of Mathematics and Data Science(Software College), Minjiang University, Fuzhou 350108, China) |
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| Abstract: | Stability of the equilibrium for a commensal symbiosis model with density dependent birth rate and feedback controls is investigated.Firstly, the equilibrium of the system is analyzed, and the conditions for the existence of positive equilibrium and the boundary equilibrium are obtained.Secondly, by constructing some suitable Lyapunov functions, the global stability of the positive equilibrium and the boundary equilibrium is showed under some suitable assumptions.Finally, the conclusions are verified by data simulation. |
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| Keywords: | commensal symbiosis model feedback controls density dependent birth rate global stability |
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