| 一类食饵带疾病的随机食饵-捕食者模型的渐近性质 |
| |
| 引用本文： | 谭杨,郭子君.一类食饵带疾病的随机食饵-捕食者模型的渐近性质[J].北华大学学报(自然科学版),2014,0(4):421-426. |
| |
| 作者姓名： | 谭杨 郭子君 |
| |
| 作者单位： | 谭杨 (铜仁职业技术学院,贵州 铜仁,554300)； 郭子君 (华南农业大学应用数学研究所,广东 广州,510642)； |
| |
| 基金项目： | 国家自然科学基金项目(项目编号：30971694) |
| |
| 摘 要： | 研究了一类食饵带有疾病的食饵-捕食者随机模型,分析了模型的有界性,在没有附加条件下证明了模型的解是随机最终有界的和随机系统中染病食饵种群与捕食者种群均几乎处处依指数趋于灭绝,最后研究了随机系统围绕确定性系统的地方病平衡点的渐近性质,得到了随机模型的解存在稳定分布的充分条件.
|
| 关 键 词： | 食饵-捕食者模型 随机干扰 随机最终有界 随机渐近稳定 |
Asymptotic Behavior of a Stochastic Model of Predator-prey System with Disease in the Prey |
| |
| Institution: | Tan Yang, Guo Zijun ( 1. Tongren Polytechnic College, Tongren 554300, China ; 2. Institute of Applied Mathematics, South-China Agricultural University, Guangzhou 510642, China) |
| |
| Abstract: | A stochastic model of a predator-prey system with disease in the prey population is proposed and analyzed. The solution of the model will be stochastically ultimate boundedness without any additional condition. The infected prey and predator tend to extinct exponentially. The asymptotic behavior around the other equilibrium of the deterministic system is examined that is not the equilibrium of the stochastic system. |
| |
| Keywords: | predator-prey model random disturbance stochastically ultimate boundedness stochastic stability |
| 本文献已被 CNKI 维普 等数据库收录！ |
