HOPF BIFURCATION AND THE STABILITY OF NON-LINEAR AGE-DEPENDENT POPULATION MODELS.

被引：0
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作者：
Swart, J.H. [1 ]
机构：
[1] Univ of Natal, Durban, S Afr, Univ of Natal, Durban, S Afr
来源：
Computers & mathematics with applications | 1988年 / 15卷 / 6-8期
关键词：
COMPUTER PROGRAMMING - Algorithms - MATHEMATICAL TECHNIQUES - Differential Equations;
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摘要：
The possibility of Hopf bifurcation into stable orbits is considered for the Gurtin-Maccamy model of age-dependent population dynamics, in which the mortality function depends only on the population while fertility is a fairly general function of age as well as population. In addition an algorithm is produced which provides a necessary condition for Hopf bifurcation to occur for arbitrary systems of ordinary differential equations.
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页码：555 / 564
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