基于比率且包含食饵避难的HollingTanner模型分析

基于比率且包含食饵避难的HollingTanner模型分析

侯强，靳祯

中北大学数学系, 山西太原 030051

收稿日期:2008-09-10 修回日期:1900-01-01 出版日期:2009-04-24 发布日期:2009-11-26
通讯作者: 侯强

Analysis of a HollingTanner model with ratiodependence
incorporating a prey refuge

HOU Qiang， JIN Zhen

Mathematics Department, North University of China, Taiyuan 030051, Shanxi, China

Received:2008-09-10 Revised:1900-01-01 Online:2009-04-24 Published:2009-11-26
Contact: HOU Qiang

摘要/Abstract

摘要：

考虑了一个基于比率且包含食饵避难的HollingTanner模型。分析了系统平衡点存在和局部渐近稳定性,并构造Lyapunov函数证明了正平衡点的全局渐近稳

定性。利用分岔理论,发现系统在正平衡点经历了Hopf分岔,且出现了惟一的极限环。

关键词: 分岔, 比率依赖, HollingTanner模型, 局部渐近稳定

Abstract:

A HollingTanner model with ratiodependence incorporating a prey refuge was discussed. The existence and local asymptotic stability of the equilibria of the system were

analyzed, and global asymptotic stability of the positive equilibrium was proved by constructing the Lyapunov function. By using bifurcation theory, it was shown that the system

experiences Hopf bifurcation at positive equicibrium, and the uniqueness of the limit cycle of the system was found.

Key words: HollingTanner model, local asymptotic stability, bifurcation, ratiodependent

中图分类号:

O17515

侯强，靳祯. 基于比率且包含食饵避难的HollingTanner模型分析[J]. J4, 2009, 44(3): 56-60 .

HOU Qiang， JIN Zhen. Analysis of a HollingTanner model with ratiodependence
incorporating a prey refuge[J]. J4, 2009, 44(3): 56-60 .

参考文献

相关文章 4

[1]	刘华,叶勇,魏玉梅,杨鹏,马明,冶建华,马娅磊. 一类离散宿主-寄生物模型动态研究[J]. 山东大学学报（理学版）, 2018, 53(7): 30-38.
[2]	白宝丽,张建刚,杜文举,闫宏明. 一类随机的SIR流行病模型的动力学行为分析[J]. 山东大学学报（理学版）, 2017, 52(4): 72-82.
[3]	张伟强,刘扬正*. 统一超混沌系统的构建与电路实现[J]. J4, 2011, 46(7): 30-34.
[4]	刘华,刘志广,苏敏,李自珍, . 聚集效应对宿主—寄生物种群模型动态行为的影响[J]. J4, 2008, 43(8): 31-34 .

多维度评价

Viewed

Full text

Abstract

Cited

Shared

Discussed