| 一类捕食-食饵系统绝灭的充分条件 |
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| 引用本文： | 向中义. 一类捕食-食饵系统绝灭的充分条件[J]. 湖北民族学院学报(自然科学版), 2006, 24(3): 223-227 |
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| 作者姓名： | 向中义 |
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| 作者单位： | 湖北民族学院数学系 湖北恩施445000 |
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| 基金项目： | 国家自然科学基金资助项目(10471117),高校杰出科研人才创新工程项目(2005KYCX017) |
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| 摘 要： | 研究了一类具有生物和化学控制(周期释放天敌和喷洒杀虫剂)的两食饵-两捕食者模型的动力学性质.通过线性周期脉冲方程的F loquet理论和小幅扰动方法,证明当脉冲周期小于某个临界值时,存在一个全局渐近稳定的两个害虫根除周期解.
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| 关 键 词： | 两食饵-两捕食者模型 Floquet理论 脉冲扰动作用 绝灭 |
| 文章编号： | 1008-8423(2006)03-0223-05 |
| 修稿时间： | 2006-04-25 |
Sufficient Conditions of Extinction of a Predator-prey System |
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| XIANG Zhong-yi. Sufficient Conditions of Extinction of a Predator-prey System[J]. Journal of Hubei Institute for Nationalities(Natural Sciences), 2006, 24(3): 223-227 |
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| Authors: | XIANG Zhong-yi |
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| Abstract: | In this paper,the dynamic behaviors of a two-prey two-predator system with impulsive effect concerning biological control strategy-periodic releasing natural enemies and spraying pesticide at different time are investigated.By applying the Floquet theory of liner periodic impulsive equation and small amplitude perturbation method,we prove that there exists a globally asymptotically stable two-prey eradication periodic solution when the impulsive period is less than some critical value. |
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| Keywords: | two-prey two-predator Floquet theorem impulsive effect extinction |
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