Detailed analysis of a nonlinear prey-predator model

被引:82
作者
Danca, M
Codreanu, S
Bako, B
机构
[1] UNIV BABES BOLYAI,DEPT THEORET PHYS,R-3400 CLUJ NAPOCA,ROMANIA
[2] TECH UNIV CLUJ NAPOCA,CLUJ NAPOCA,ROMANIA
关键词
deterministic chaos; two-dimensional mapping; strange attractor; Hopf bifurcation; prey-predator model; nonlinear dynamics;
D O I
10.1023/A:1004918920121
中图分类号
Q6 [生物物理学];
学科分类号
071011 ;
摘要
A model of competition between populations of two species, described by a two dimensional map, is analytically and numerically studied. A rich dynamics is observed.
引用
收藏
页码:11 / 20
页数:10
相关论文
共 6 条
[1]  
BASYKIN AD, 1974, PROBLEMS MATH GENETI, V103
[2]   A MODEL OF PREDATOR PREY DYNAMICS AS MODIFIED BY THE ACTION OF A PARASITE [J].
FREEDMAN, HI .
MATHEMATICAL BIOSCIENCES, 1990, 99 (02) :143-155
[3]  
Landa PS, 1993, MATH RES, V72, P23
[4]  
MARTELLI M, 1992, PURE APPL MATH, V62
[5]  
NGUNG TV, IC93391 INT CTR THEO
[6]  
Volterra V, 1931, Lecons sur la Theorie Mathematique de la Lutte pour la Vie