AN EPIDEMIOLOGICAL MODEL WITH A DELAY AND A NONLINEAR INCIDENCE RATE

被引:94
作者
HETHCOTE, HW
LEWIS, MA
VANDENDRIESSCHE, P
机构
[1] MATH INST,CTR MATH BIOL,OXFORD OX1 3LB,ENGLAND
[2] UNIV VICTORIA,DEPT MATH,VICTORIA V8W 2Y2,BC,CANADA
关键词
D O I
10.1007/BF00276080
中图分类号
Q [生物科学];
学科分类号
07 ; 0710 ; 09 ;
摘要
引用
收藏
页码:49 / 64
页数:16
相关论文
共 10 条
[1]   STABILITY OF STAGE-STRUCTURED POPULATION-MODELS [J].
BRAUER, F ;
MA, Z .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1987, 126 (02) :301-315
[2]  
Hale J., 1977, APPL MATH SCI, V3
[3]  
HETHCOTE H W, 1976, Mathematical Biosciences, V28, P335, DOI 10.1016/0025-5564(76)90132-2
[4]   NON-LINEAR OSCILLATIONS IN EPIDEMIC MODELS [J].
HETHCOTE, HW ;
STECH, HW ;
VANDENDRIESSCHE, P .
SIAM JOURNAL ON APPLIED MATHEMATICS, 1981, 40 (01) :1-9
[5]   STABILITY ANALYSIS FOR MODELS OF DISEASES WITHOUT IMMUNITY [J].
HETHCOTE, HW ;
STECH, HW ;
VANDENDRIESSCHE, P .
JOURNAL OF MATHEMATICAL BIOLOGY, 1981, 13 (02) :185-198
[6]  
Hethcote HW, 1981, DIFF EQUAT, P65
[7]  
HETHCOTE HW, 1988, APPLIED MATH ECOLOGY
[8]   INFLUENCE OF NONLINEAR INCIDENCE RATES UPON THE BEHAVIOR OF SIRS EPIDEMIOLOGIC MODELS [J].
LIU, WM ;
LEVIN, SA ;
IWASA, Y .
JOURNAL OF MATHEMATICAL BIOLOGY, 1986, 23 (02) :187-204
[9]   DYNAMIC BEHAVIOR OF EPIDEMIOLOGIC MODELS WITH NONLINEAR INCIDENCE RATES [J].
LIU, WM ;
HETHCOTE, HW ;
LEVIN, SA .
JOURNAL OF MATHEMATICAL BIOLOGY, 1987, 25 (04) :359-380