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Volumn 2, Issue 2, 2008, Pages 221-239

An epidemic model with post-contact prophylaxis of distributed length i. thresholds for disease persistence and extinction

Author keywords

(class) age structure; Basic reproduction number; Compact attractor; Disease extinction; Disease persistence; Distributed time delay; Endemic equilibria; Semiflow; Standard (or frequency dependent) incidence

Indexed keywords

ARTICLE; EPIDEMIC; HUMAN; THEORETICAL MODEL;

EID: 79960526336     PISSN: 17513758     EISSN: 17513766     Source Type: Journal    
DOI: 10.1080/17513750801915277     Document Type: Article
Times cited : (5)

References (12)
  • 1
    • 0034927101 scopus 로고    scopus 로고
    • Endemic models with arbitrarily distributed periods of infection. II. Fast disease dynamics and permanent recovery
    • Feng, Z., and Thieme, H. R., 2000. Endemic models with arbitrarily distributed periods of infection. II. Fast disease dynamics and permanent recovery. SIAM J. Appl. Math., 61:983–1012.
    • (2000) SIAM J. Appl. Math. , vol.61 , pp. 983-1012
    • Feng, Z.1    Thieme, H.R.2
  • 2
    • 0037397232 scopus 로고    scopus 로고
    • A population-dynamic model for evaluating the potential spread of drug-resistant influenza virus infections during community-based use of antivirals
    • Ferguson, N. M., Mallett, S., Jackson, H., Roberts, N., and Ward, P., 2003. A population-dynamic model for evaluating the potential spread of drug-resistant influenza virus infections during community-based use of antivirals. J. Antimicrob. Chemother., 51:977–990.
    • (2003) J. Antimicrob. Chemother. , vol.51 , pp. 977-990
    • Ferguson, N.M.1    Mallett, S.2    Jackson, H.3    Roberts, N.4    Ward, P.5
  • 5
    • 84990581010 scopus 로고
    • Differential equation models for some parasitic infections: Methods for the study of asymptotic behavior
    • Hirsch, W. M., Hanisch, H., and Gabriel, J.-P., 1985. Differential equation models for some parasitic infections:Methods for the study of asymptotic behavior. Comm. Pure Appl. Math., 38:733–753.
    • (1985) Comm. Pure Appl. Math. , vol.38 , pp. 733-753
    • Hirsch, W.M.1    Hanisch, H.2    Gabriel, J.-P.3
  • 6
    • 0016646791 scopus 로고
    • On the variation of the solution of a nonlinear integral equation
    • Londen, S.-O., 1975. On the variation of the solution of a nonlinear integral equation. J. Math. Anal. Appl., 52:430–449.
    • (1975) J. Math. Anal. Appl. , vol.52 , pp. 430-449
    • Londen, S.-O.1
  • 7
    • 1642462098 scopus 로고    scopus 로고
    • Containing pandemic influenza with antiviral agents
    • Longini, I. M., Halloran, M. E., Nizam, N., and Yang, Y., 2004. Containing pandemic influenza with antiviral agents. Am. J. Epidemiol., 159:623–633.
    • (2004) Am. J. Epidemiol. , vol.159 , pp. 623-633
    • Longini, I.M.1    Halloran, M.E.2    Nizam, N.3    Yang, Y.4
  • 8
    • 0019382844 scopus 로고
    • Stability in a class of cyclic epidemic models with delay
    • Stech, H. W., and Williams, M., 1981. Stability in a class of cyclic epidemic models with delay. J. Math. Biol., 11:95–103.
    • (1981) J. Math. Biol. , vol.11 , pp. 95-103
    • Stech, H.W.1    Williams, M.2
  • 10
    • 85024522019 scopus 로고    scopus 로고
    • An epidemic model with post-contact prophylaxis of distributed length. II. Stability and oscillations if treatment is fully effective
    • Thieme, H. R., Tridane, A., and Kuang, Y., An epidemic model with post-contact prophylaxis of distributed length. II. Stability and oscillations if treatment is fully effective. preprint, under review
    • Preprint, under review
    • Thieme, H.R.1    Tridane, A.2    Kuang, Y.3
  • 11
    • 2242489679 scopus 로고    scopus 로고
    • Global stability in cyclic epidemic models with disease fatalities
    • Thieme, H. R., and van den Driessche, P., 1999. Global stability in cyclic epidemic models with disease fatalities. Fields Inst. Commun., 21:459–472.
    • (1999) Fields Inst. Commun. , vol.21 , pp. 459-472
    • Thieme, H.R.1    van den Driessche, P.2
  • 12


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.