|
|||||
|
|
| 具有随机扰动和比率依赖的Holling型捕食系统的正解存在性 | |
| 引用本文： | 华盈盈,杨志春 .具有随机扰动和比率依赖的Holling型捕食系统的正解存在性[J].重庆师范大学学报(自然科学版),2011,28(5):41-44. |
| 作者姓名： | 华盈盈 杨志春 |
| 作者单位： | 重庆师范大学数学学院,重庆,400047 |
| 基金项目： | 国家自然科学基金项目(No.10971240); 重庆市自然科学基金科研项目(No.CSTC2008BB2364); 重庆市教委科研项目(No.KJ080806) |
| 摘 要： | 本文在Holling-(n+1)功能性反应随机捕食系统正解存在性的已有结论基础上,进一步研究将此模型基于比率依赖理论,讨论对一类基于比率依赖的Holling-(n+1)型的随机捕食系统的正解全局存在性.该模型在随机白噪声的干扰环境下,通过借助Lyapunov函数方法和伊藤公式,详细得出该系统的正解在有限时间内不会爆破,... |
| 关 键 词： | Holling-(n+1)型随机捕食系统 Lyapunov函数方法 伊藤公式 全局存在性 |
The Existence of Positive Solutions of a Random Perturbations of the Ratio of Holling-rely on (n+1) Type Predator-Prey Systems |
|
| HUA Ying-ying,YANG Zhi-chun .The Existence of Positive Solutions of a Random Perturbations of the Ratio of Holling-rely on (n+1) Type Predator-Prey Systems [J].Journal of Chongqing Normal University:Natural Science Edition,2011,28(5):41-44. |
|
| Authors: | HUA Ying-ying YANG Zhi-chun |
| Institution: | HUA Ying-ying,YANG Zhi-chun(College of Mathematics,Chongqing Normal University,Chongqing 400047,China) |
| Abstract: | In this paper,previous studies Holling-(n +1) random predator functional response system,the existence of positive solutions on the basis of further study this model is based on ratio-dependent theory,a class discussion based on the ratio-dependent Holling-(n+1) of random-type predator-prey system global existence of positive solutions.This model in random white noise interference environment,Lyapunov function method and through the help of formula ITO,detailed positive solutions that the system in a limite... |
| Keywords: | Holling-(n 1) stochastic predator-prey system Lyapunov function method ITO formula global existence |
| 本文献已被 CNKI 万方数据 等数据库收录！ | |
| 点击此处可从《重庆师范大学学报(自然科学版)》浏览原始摘要信息 | |
| 点击此处可从《重庆师范大学学报(自然科学版)》下载免费的PDF全文 | |