A RENEWAL EQUATION WITH A BIRTH DEATH PROCESS AS A MODEL FOR PARASITIC INFECTIONS

被引：22

作者：

KRETZSCHMAR, M

机构：

来源：

JOURNAL OF MATHEMATICAL BIOLOGY | 1989年 / 27卷 / 02期

关键词：

D O I：

10.1007/BF00276103

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

引用

页码：191 / 221

页数：31

共 26 条

[1] REGULATION AND STABILITY OF HOST-PARASITE POPULATION INTERACTIONS .1. REGULATORY PROCESSES [J].

ANDERSON, RM ;

MAY, RM .

JOURNAL OF ANIMAL ECOLOGY, 1978, 47 (01) :219-247

[2]

[Anonymous], 1975, MATH THEORY INFECT D

[3]

BAILEY NTJ, 1967, ELEMENTS STOCHASTIC

[4]

Bellman R., 1963, DIFFERENTIAL DIFFERE, DOI 10.1063/1.3050672

[5] MATHEMATICAL-MODELS OF SCHISTOSOMIASIS [J].

COHEN, JE .

ANNUAL REVIEW OF ECOLOGY AND SYSTEMATICS, 1977, 8 :209-233

[6] On the integral equation of renewal theory [J].

Feller, W .

ANNALS OF MATHEMATICAL STATISTICS, 1941, 12 :243-267

[7] AN APPLICATION OF KERMACK-MCKENDRICK THEORY TO EPIDEMIOLOGY OF SCHISTOSOMIASIS [J].

GOFFMAN, W ;

WARREN, KS .

AMERICAN JOURNAL OF TROPICAL MEDICINE AND HYGIENE, 1970, 19 (02) :278-&

[8]

Hadeler K.P., 1984, Lecture Notes in Biomathematics, V54, P356

[9] NON-LINEAR HYPERBOLIC PARTIAL-DIFFERENTIAL EQUATIONS FOR THE DYNAMICS OF PARASITE POPULATIONS [J].

HADELER, KP ;

DIETZ, K .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1983, 9 (03) :415-430

[10] POPULATION-DYNAMICS OF KILLING PARASITES WHICH REPRODUCE IN THE HOST [J].

HADELER, KP ;

DIETZ, K .

JOURNAL OF MATHEMATICAL BIOLOGY, 1984, 21 (01) :45-65

← 1 2 3 →