Wikan A
Harstad College, Harstad, 9400, Norway
Theor Popul Biol. 1998 Apr;53(2):85-97. doi: 10.1006/tpbi.1997.1344.
Leslie matrix models with a wide range of density dependent survival probability functions pi are studied. It is shown that for all pi which lead to nonstationary behavior, the instability is introduced through a supercritical Hopf bifurcation and further, that the dynamics in the unstable parameter regions in most cases has a strong resemblance of 4-cycles, either exact or approximate. Even in the chaotic regime a qualitative character of 4-cycles is preserved. Copyright 1998 Academic Press.
研究了具有广泛密度依赖生存概率函数pi的莱斯利矩阵模型。结果表明，对于所有导致非平稳行为的pi，不稳定性是通过超临界霍普夫分岔引入的，而且，在大多数情况下，不稳定参数区域中的动力学与4周期具有很强的相似性，无论是精确的还是近似的。即使在混沌区域，4周期的定性特征也得以保留。版权所有1998年学术出版社。
