PRELUDE TO HOPF-BIFURCATION IN AN EPIDEMIC MODEL - ANALYSIS OF A CHARACTERISTIC EQUATION ASSOCIATED WITH A NON-LINEAR VOLTERRA INTEGRAL-EQUATION

被引:21
作者
DIEKMANN, O
MONTIJN, R
机构
关键词
D O I
10.1007/BF02154757
中图分类号
Q [生物科学];
学科分类号
07 ; 0710 ; 09 ;
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页码:117 / 127
页数:11
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共 20 条
[1]   THE EFFECT OF INTEGRAL CONDITIONS IN CERTAIN EQUATIONS MODELING EPIDEMICS AND POPULATION-GROWTH [J].
BUSENBERG, S ;
COOKE, KL .
JOURNAL OF MATHEMATICAL BIOLOGY, 1980, 10 (01) :13-32
[2]  
CUSHING JM, 1979, LECTURE NOTES MATH, V737, P50
[3]  
CUSHING JM, 1980, J INTEGRAL EQUATIONS, V2, P339
[4]  
CUSHING JM, 1980, UNPUB P INT C NONLIN
[5]  
DIEKMANN O, 1980, TW197 MATH CTR REP
[6]  
DIEKMANN O, 1981, NONLINEAR DIFFERENTI, P133
[7]  
DIEKMANN O, 1981, TW219 MATH CTR REP
[8]   PERIODIC-SOLUTIONS OF AN EPIDEMIC MODEL [J].
GRIPENBERG, G .
JOURNAL OF MATHEMATICAL BIOLOGY, 1980, 10 (03) :271-280
[9]   BEHAVIOR NEAR CONSTANT SOLUTIONS OF FUNCTIONAL DIFFERENTIAL EQUATIONS [J].
HALE, JK .
JOURNAL OF DIFFERENTIAL EQUATIONS, 1974, 15 (02) :278-294
[10]   HOPF-BIFURCATION FOR FUNCTIONAL-EQUATIONS [J].
HALE, JK ;
DEOLIVEIRA, JCF .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1980, 74 (01) :41-59