| 一类具有密度制约的捕食与被捕食系统的定性分析 |
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| 引用本文： | 李畅通.一类具有密度制约的捕食与被捕食系统的定性分析[J].西安工业大学学报,2012(7):517-521. |
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| 作者姓名： | 李畅通 |
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| 作者单位： | 西安工业大学理学院,西安710032 |
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| 基金项目： | 西安工业大学校长基金项目（XAGDXJJ1136） |
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| 摘 要： | 基于综合害虫控制策略,对捕食者具有密度制约的捕食与被捕食系统进行了定性分析.利用脉冲微分方程中的Floquet理论和比较方法,证明了当脉冲周期小于某临界值时,系统的害虫根除周期解是全局渐近稳定的,进一步给出了系统持久性的条件.
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| 关 键 词： | 全局稳定 周期解 持续生存 密度依赖 |
Qualititive Analysis of the Predator-prey Model with Density-dependent Mortality |
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| Authors: | LI Chang-tong |
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| Affiliation: | LI Chang-tong(School of Science,Xi’an Technological University,Xi’an 710032,China) |
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| Abstract: | Based on the strategy for integrated pest management,a predator-prey system with density dependent mortality rate is proposed and analyzed.It is proved by Floquet theory and differential comparison theory that there exists a globally asymptotically stable pest-free periodic solution when pulse period is smaller than critical value.Furthermore,the sufficient condition for the permanence of the system is established. |
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| Keywords: | globally asymptotically stable periodic solution permanence density dependence |
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