PAIR FORMATION MODELS WITH MATURATION PERIOD

被引:32
作者
HADELER, KP
机构
[1] EMORY UNIV, DEPT MATH, ATLANTA, GA 30322 USA
[2] GEORGIA INST TECHNOL, CTR DYNAM SYST, ATLANTA, GA 30332 USA
关键词
DEMOGRAPHY; 2-SEX PROBLEM; AGE STRUCTURE; PAIR FORMATION; DELAY EQUATION; HOMOGENEOUS EQUATION;
D O I
10.1007/BF00160370
中图分类号
Q [生物科学];
学科分类号
07 ; 0710 ; 09 ;
摘要
The standard model for pair formation is generalized to include a maturation period. This model in the form of three coupled delay equations is a special case of the general age-structured model for a two-sex population. The exact conditions for the existence of an exponential (persistent) two-sex solution are derived. It is shown that this solution is unique and locally stable. In order to achieve these results the theory of homogeneous differential equations is extended to a class of homogeneous delay equations.
引用
收藏
页码:1 / 15
页数:15
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