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| 具双密度制约和Non-Monotonic型功能反应的捕食系统的周期性与全局稳定性 | |
| 引用本文： | 王欣欣. 具双密度制约和Non-Monotonic型功能反应的捕食系统的周期性与全局稳定性[J]. 东北师大学报(自然科学版), 2009, 41(1) |
| 作者姓名： | 王欣欣 |
| 作者单位： | 北华大学数学学院,吉林,吉林,132021 |
| 基金项目： | 国家高技术研究发展计划(863计划) |
| 摘 要： | 利用比较原理和重合度理论与Lyapunov函数,研究了一类具有双密度制约和Non-Monotonic型功能性反应食饵-捕食者系统的持久性和全局周期解的存在性及其全局稳定性,得到了周期系统存在唯一全局渐近稳定的正周期解的充分条件.所得结论推广了已有的结果. |
| 关 键 词： | 食饵-捕食者系统 Non-Monotonic型功能反应 持久性 重合度理论 正周期解 全局渐近稳定性 |
Global stability and periodicity of predator-prey system with double density restrict and Non-Monotonic type functional response |
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| WANG Xin-xin. Global stability and periodicity of predator-prey system with double density restrict and Non-Monotonic type functional response[J]. Journal of Northeast Normal University (Natural Science Edition), 2009, 41(1) | |
| Authors: | WANG Xin-xin |
| Affiliation: | WANG Xin-xin(College of Mathematics,Beihua University,Jilin 132021,China) |
| Abstract: | The persistence of a class of predator-prey system is investigated with double density restrict and non-monotonic type functional response,the existence and the global stability of its global positive periodic solution by using comparability theorem,coincidence degree theory and lyapunov functions.the sufficient conditions are obtained which guarantee the existence of the global asymptotic stable positive periodic solution of the periodic system.These obtained results generalize the main result. |
| Keywords: | predator-prey system Non-Monotonic type functional response persistence coincidence degree theory positive periodic solution global asymptotic stability |
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