| 一类反馈控制捕食-食饵系统平衡点的全局吸引 |
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| 引用本文： | 施春玲,王逸勤,陈育栎. 一类反馈控制捕食-食饵系统平衡点的全局吸引[J]. 福州大学学报(自然科学版), 2015, 43(5): 582-586 |
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| 作者姓名： | 施春玲 王逸勤 陈育栎 |
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| 作者单位： | 福州大学至诚学院, 福建 福州 350002,福建教育学院, 福建 福州 350002,福州大学至诚学院, 福建 福州 350002 |
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| 摘 要： | 研究一类多时滞Lotka-Volterra捕食-食饵系统,通过构造多个Lyapunov函数,建立捕食-食饵系统正平衡点的全局吸引的充分性条件.并进一步证明了当食饵种群绝灭,有其它食物来源的捕食者也能稳定在某个值.
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| 关 键 词： | 捕食-食饵系统；平衡点；时滞；全局吸引 |
Global attractivity of the equilibrium point in a predator-prey system with several delays |
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| SHI Chunling,WANG Yiqin and CHEN Yuli. Global attractivity of the equilibrium point in a predator-prey system with several delays[J]. Journal of Fuzhou University(Natural Science Edition), 2015, 43(5): 582-586 |
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| Authors: | SHI Chunling WANG Yiqin CHEN Yuli |
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| Affiliation: | Zhicheng College, Fuzhou University, Fuzhou, Fujian, 350002, China,Fujian Institute of Education, Fuzhou, Fujian 350002, China and Zhicheng College, Fuzhou University, Fuzhou, Fujian, 350002, China |
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| Abstract: | We study method of multiple Lyapunov functionals, we obtain the sufficient conditions that the positive equilibrium a Lotka-Volterra Predator-Prey system with several delays. By using the point of Predator-Prey system is the global stability. Furthermore, under other condition we establish that the prey is tending to zero while the predator who has other foods will stabilize at a certain solution |
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