A MODEL FOR THE GROWTH OF A POPULATION EXHIBITING STAGE STRUCTURE - CANNIBALISM AND COOPERATION

被引：15
作者：
FREEDMAN, HI
SO, JWH
WU, JH
机构：
[1] UNIV ALBERTA,INST APPL MATH,DEPT MATH,EDMONTON,AB T6G 2G1,CANADA
[2] YORK UNIV,DEPT MATH & STAT,N YORK,ON M3J 1P3,CANADA
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 1994年 / 52卷 / 1-3期
关键词：
CANNIBALISM; COOPERATION; EQUILIBRIUM; HOPF BIFURCATION; PERIODIC SOLUTION; SINGLE SPECIES; STABILITY; STAGE STRUCTURE; TIME DELAY;
D O I：
10.1016/0377-0427(94)90356-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A model of a stage-structured population with fixed maturity time for the immature stage and interaction terms that may be interpreted as cooperation or cannibalism is proposed. The existence and stability of the equilibrium set are discussed. In the case of cannibalism, it is shown by a numerical example how a Hopf bifurcation could result in a stable periodic solution.
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页码：177 / 198
页数：22
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