| 害鼠治理中一类在食饵中具有不育控制的捕食与被捕食模型 |
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| 引用本文： | 冯晓梅,王文娟.害鼠治理中一类在食饵中具有不育控制的捕食与被捕食模型[J].北华大学学报(自然科学版),2016,17(4):439-443. |
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| 作者姓名： | 冯晓梅 王文娟 |
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| 作者单位： | 运城学院应用数学系,山西 运城,044000;运城学院应用数学系,山西 运城,044000 |
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| 基金项目： | 国家自然科学基金项目(11501498;11371313)，运城学院院级项目(XK2012002) |
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| 摘 要： | 研究了一类食饵中具有不育控制的捕食与被捕食模型,讨论了模型解的有界性及零平衡点和正平衡点的局部稳定性,通过构造适当的Lyapunov函数并运用La Salle’s不变原理,证明了正平衡点的全局稳定性.
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| 关 键 词： | 不育控制 捕食与被捕食系统 Lyapunov函数 全局渐近稳定 |
A Class of Predator-Prey Model with Infertility Control in the Prey for Integrated Harmful Rat Management |
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| Feng Xiaomei,Wang Wenjuan.A Class of Predator-Prey Model with Infertility Control in the Prey for Integrated Harmful Rat Management[J].Journal of Beihua University(Natural Science),2016,17(4):439-443. |
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| Authors: | Feng Xiaomei Wang Wenjuan |
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| Abstract: | A class of predator-prey model with infertility control in the prey is studied. The boundness of model solution and local stability of zero equilibrium and positive equilibrium are discussed. By constructing appropriate Lyapunov function and LaSalle’ s invariance principle,the global asymptotic stability of positive equilibrium is proved. |
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| Keywords: | infertility control predator-prey Lyapunov function global asymptotic stability |
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