SPATIAL COMPLEXITY OF A PREDATOR-PREY MODEL WITH BOTH NOISE AND DIFFUSION

被引：1
|
作者：
Song, Li-Peng [1 ]
Hou, Wei [2 ]
Han, Xie [1 ]
Sun, Gui-Quan [2 ]
机构：
[1] N Univ China, Dept Comp Sci & Technol, Taiyuan 030051, Shanxi, Peoples R China
[2] N Univ China, Dept Math, Taiyuan 030051, Shanxi, Peoples R China
来源：
FLUCTUATION AND NOISE LETTERS | 2012年 / 11卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Predator-prey; noise; pattern formation; chaos; STOCHASTIC RESONANCE; DYNAMICS; SYSTEMS;
D O I：
10.1142/S021947751250006X
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we present a predator-prey model with Holling II functional response, including noise and diffusion. The model with diffusion only has target wave dynamics in the two-dimensional space. However, the waves are destroyed when noise is introduced. Furthermore, the spatially extended system with noise exhibits chaotic phenomena. These results may explain some of the findings in real ecosystems.
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页数：11
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