Stability analysis of stochastic Ricker population model

被引:5
作者
Hritonenko, Natali
Rodkina, Alexandra
Yatsenko, Yuri
机构
[1] Prairie View A&M Univ, Dept Math, Prairie View, TX 77446 USA
[2] Univ W Indies, Dept Math & Comp Sci, Kingston 7, Jamaica
[3] Houston Baptist Univ, Coll Business & Econ, Houston, TX 77074 USA
关键词
D O I
10.1155/DDNS/2006/64590
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
A stochastic generalization of the Ricker discrete population model is studied under the assumption that noise impacts the population reproduction rate. The obtained results demonstrate that the demographic-type stochastic noise increases the risk of the population extinction. In particular, the paper establishes conditions on the noise intensity under which the population will extinct even if the corresponding population with no noise survives.
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页数:13
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