SCOPUS 정보 검색 플랫폼 - 논문 보기

메뉴 건너뛰기

Journal of Mathematical Biology

Volumn 23, Issue 2, 1986, Pages 187-204

Influence of nonlinear incidence rates upon the behavior of SIRS epidemiological models

(3) Liu, Wei min a,b Levin, Simon A a Iwasa, Yoh a

a Department of Obstetrics Gynecology (United States)

b INSTITUTE OF BIOCHEMISTRY AND CELL BIOLOGY (China)

Author keywords

Epidemiology; Hopf bifurcation; infectious diseases; nonlinear incidence rates; periodicities

Indexed keywords

EPIDEMIOLOGY; INFECTION; MATHEMATICAL MODEL; NONBIOLOGICAL MODEL; NONHUMAN;

HUMAN; INFECTION; MATHEMATICS; MODELS, BIOLOGICAL; PROBABILITY; SUPPORT, NON-U.S. GOV'T; SUPPORT, U.S. GOV'T, NON-P.H.S.;

EID: 0022298258 PISSN: 03036812 EISSN: 14321416 Source Type: Journal
DOI: 10.1007/BF00276956 Document Type: Article

Times cited : (676)

References (20)

1
- 0018656345
- Population biology of infectious diseases: pt.1
- (1979) Nature , vol.280 , pp. 361-367
- Anderson, R.M.¹ May, R.M.²

2
- 0021690803
- Seasonality and period-doubling bifurcation in an epidemic model
- (1984) J. Theor. Biol. , vol.110 , pp. 665-679
- Aron, J.¹ Schwartz, I.²

3
- 0003742917
- 2nd edn, Griffin, London
- (1975) The mathematical theory of infectious diseases and its applications
- Bailey, N.T.J.¹

4
- 0018041874
- A generalization of the Kermack-McKendrick deterministic epidemic model
- (1978) Math. Biosci. , vol.42 , pp. 41-61
- Capasso, V.¹ Serio, G.²

5
- 0003399571
- Springer, Berlin Heidelberg New York
- (1982) Methods of bifurcation theory , pp. 353-360
- Chow, S.-N.¹ Hale, J.K.²

6
- 0018509236
- A deterministic model for measles
- (1979) Z. Naturforsch. , vol.34 c , pp. 647-648
- Cunningham, J.¹

7
- 0002454064
- The incidence of infectious diseases under the influence of seasonal fluctuations
- (1976) Lect. Notes Biomath. , vol.11 , pp. 1-15
- Dietz, K.¹

8
- 84934668561
- Gabriel, J. P., Hanisch, H., Hirsch, W. M.: Dynamic equilibria of helminthic infections? In: Chapman, D. G., Gallucci, V. F. (eds.) Quantitative population dynamics. Intern. Cooperative Publ. House, Maryland, Stat. Ecology Series 13, 83–104, 1981

9
- 0003478288
- Springer, Berlin Heidelberg New York Tokyo,150, 156
- (1983) Nonlinear oscillations, dynamical systems and bifurcations of vector fields
- Guckenheimer, J.¹ Holmes, P.²

10
- 0002619890
- Nonlinear oscillations in epidemic models
- (1981) SIAM Journal on Applied Mathematics , vol.40 , pp. 1-9
- Hethcote, H.W.¹ Stech, H.W.² Van den Driessche, P.³

11
- 0002449311
- Periodicity and stability in epidemic models: a survey
- S. N., Busenberg, K. L., Cooke, Academic Press, New York London Toronto Sydney San Francisco
- (1981) Differential equations and applications in ecology, epidemics, and population problems , pp. 65-82
- Hethcote, H.W.¹ Stech, H.W.² Van den Driessche, P.³

12
- 0015739604
- Recurrent outbreak of measles, chickenpox, and mumps: I. Seasonal variation in contact rates
- (1973) Am. J. Epidemiology , vol.98 , pp. 458-468
- London, W.P.¹ Yorke, J.A.²

13
- 0018357820
- Population biology of infectious diseases: pt. 2
- (1979) Nature , vol.280 , pp. 455-461
- May, R.M.¹ Anderson, R.M.²

14
- 84934668560
- Rand, R. H.: Derivation of the Hopf bifurcation formula using Lindstedt's perturbation method and MACSYMA. In: Pavelle, R. (ed.) Applications of computer algebra. Klumer Academic Pub. 1985

15
- 77957185501
- An age-structured model of pre-and post-vaccination measles transmission
- (1984) IMA J. Math. Applied in Med. Biol. , vol.1 , pp. 169-191
- Schenzle, D.¹

16
- 0021990877
- Multiple stable recurrent outbreaks and predictability in seasonally forced nonlinear epidemic models
- (1985) J. Math. Biol. , vol.21 , pp. 347-362
- Schwartz, I.B.¹

17
- 34948901219
- Generalizations of some stochastic epidemic models
- (1969) Math. Biosci. , vol.4 , pp. 395-402
- Severo, N.C.¹

18
- 0008430748
- The law of mass action in epidemiology
- (1945) Proceedings of the National Academy of Sciences , vol.31 , pp. 24-34
- Wilson, E.B.¹ Worcester, J.²

19
- 0008419852
- The law of mass action in epidemiology, II
- (1945) Proceedings of the National Academy of Sciences , vol.31 , pp. 109-116
- Wilson, E.B.¹ Worcester, J.²

20
- 0015711463
- Recurrent outbreak of measles, chickenpox, and mumps: II
- (1973) Am. J. Epidemiology , vol.98 , pp. 469-482
- Yorke, J.A.¹ London, W.P.²

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.