Dynamic complexities in a host-parasite model

被引:0
|
作者
Shi, Honghua [1 ]
Gao, Meng
Li, Zizhen
Ding, Dewen
机构
[1] Ocean Univ China, Dept Math, Qingdao 266071, Peoples R China
[2] Ocean Univ China, Coll Environm Sci & Engn, Qingdao 266003, Peoples R China
[3] Sch Math & Stat, Lanzhou 730000, Peoples R China
[4] SOA, Inst Oceanog 1, Qingdao 266061, Peoples R China
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中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this study, host and parasite populations whose generations are non-overlapping are modeled by difference equations. The effect of immunity on the model is investigated qualitatively. Many forms of complex dynamics are observed, including (a) non-unique dynamics, meaning that several attractors coexist, (b) basins of attraction with fractal properties (pattern of self-similarity and fractal basin boundaries), (c) supertransients, (d) attractor crises, (e) chaotic bands with narrow or wide periodic windows.
引用
收藏
页码:914 / 916
页数:3
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