| 椰心叶甲虫综合防治脉冲动力学模型的周期解 |
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| 引用本文： | 宋洋,周洪健,王凯华.椰心叶甲虫综合防治脉冲动力学模型的周期解[J].数学的实践与认识,2020(6):201-211. |
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| 作者姓名： | 宋洋 周洪健 王凯华 |
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| 作者单位： | 海南师范大学数学与统计学院 |
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| 基金项目： | 海南省自然科学基金(117097)。 |
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| 摘 要： | 椰心叶甲虫是棕榈科植物最主要的害虫之一.论文针对两类寄生蜂攻击椰心叶甲虫不同年龄阶段的特点,建立了阶段结构的脉冲定期喷洒药物和释放天敌的综合防治模型.通过重合度理论和分析工具,证明了该模型周期解的存在性,给出了周期解存在的充分条件,并通过数值模拟验证了理论结果的有效性.
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| 关 键 词： | 椰心叶甲 脉冲 周期解 重合度 |
Periodic Solution of Impulsive Dynamical Model for Integrated Control of Brontispa longissima |
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| SONG Yang,ZHOU Hong-jian,WANG Kai-hua.Periodic Solution of Impulsive Dynamical Model for Integrated Control of Brontispa longissima[J].Mathematics in Practice and Theory,2020(6):201-211. |
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| Authors: | SONG Yang ZHOU Hong-jian WANG Kai-hua |
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| Institution: | (School of Mathematics and Statistics,Hainan Normal University,Haikou 571158,China) |
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| Abstract: | Brontispa longissima is one of the most serious pests of palm plants.A impulsive integrated control model with spraying pesticides and releasing natural enemies at fixed time was established according to the characteristics that two kinds of natural enemies attacking Brontispa longissima at different age stages.The existence of the periodic solution was proved by using the coincidence degree theory and analysis techniques,and the sufficient condition for the existence of the periodic solution was also given.Finally,the analytic result was verified by some numerical simulations. |
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| Keywords: | Brontispa longissima impulse periodic solution coincidence degree |
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