Limit cycles in a disease transmission model

被引:2
作者
Alwash, MAM
机构
[1] Department of Mathematics, Univ. of California, Los Angeles, Los Angeles
关键词
D O I
10.1016/S0096-3003(96)00174-9
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We show that certain disease transmission systems have stable limit cycles through Hopf bifurcation. Two-parameter families of systems with stable limit cycles are described. (C) Elsevier Science Inc., 1997.
引用
收藏
页码:85 / 92
页数:8
相关论文
共 4 条
[1]   A DISEASE TRANSMISSION MODEL IN A NONCONSTANT POPULATION [J].
DERRICK, WR ;
VANDENDRIESSCHE, P .
JOURNAL OF MATHEMATICAL BIOLOGY, 1993, 31 (05) :495-512
[2]  
Guckenheimer J., 1985, NONLINEAR OSCILLATIO
[3]   COMPUTING CENTER CONDITIONS FOR CERTAIN CUBIC SYSTEMS [J].
LLOYD, NG ;
PEARSON, JM .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1992, 40 (03) :323-336
[4]   THE CENTERS IN THE REDUCED KUKLES SYSTEM [J].
ROUSSEAU, C ;
SCHLOMIUK, D ;
THIBAUDEAU, P .
NONLINEARITY, 1995, 8 (04) :541-569