메뉴 건너뛰기




Volumn 10, Issue , 2015, Pages 49-53

Nine challenges for deterministic epidemic models

Author keywords

Deterministic models; Endemic equilibrium; Multi strain systems; Non communicable diseases; Spatial models

Indexed keywords

COMMUNICABLE DISEASES; ENDEMIC DISEASE; EPIDEMIC; HUMAN; STATISTICAL MODEL; STATISTICS; STATISTICS AND NUMERICAL DATA; SUPERINFECTION; TRANSMISSION;

EID: 84939972211     PISSN: 17554365     EISSN: 18780067     Source Type: Journal    
DOI: 10.1016/j.epidem.2014.09.006     Document Type: Article
Times cited : (112)

References (36)
  • 2
    • 0027338915 scopus 로고
    • The effect of age-dependent host mortality on the dynamics of an endemic disease
    • Andreasen V. The effect of age-dependent host mortality on the dynamics of an endemic disease. Math. Biosci. 1993, 114:29-58.
    • (1993) Math. Biosci. , vol.114 , pp. 29-58
    • Andreasen, V.1
  • 4
    • 39649125153 scopus 로고    scopus 로고
    • Network epidemic models with two levels of mixing
    • Ball F., Neal P. Network epidemic models with two levels of mixing. Math. Biosci. 2008, 212:69-87.
    • (2008) Math. Biosci. , vol.212 , pp. 69-87
    • Ball, F.1    Neal, P.2
  • 5
    • 77950626560 scopus 로고    scopus 로고
    • HPV-16 infection and cervical cancer: modeling the influence of duration of infection and precancerous lesions
    • Baussano I., Ronco G., Segnan N., French K., Vineis P., Garnett G.P. HPV-16 infection and cervical cancer: modeling the influence of duration of infection and precancerous lesions. Epidemics 2010, 2:21-28.
    • (2010) Epidemics , vol.2 , pp. 21-28
    • Baussano, I.1    Ronco, G.2    Segnan, N.3    French, K.4    Vineis, P.5    Garnett, G.P.6
  • 6
    • 0036369855 scopus 로고    scopus 로고
    • Exciting chaos with noise: unexpected dynamics in epidemic outbreaks
    • Billings L., Schwartz I.B. Exciting chaos with noise: unexpected dynamics in epidemic outbreaks. J. Math. Biol. 2002, 44:31-48.
    • (2002) J. Math. Biol. , vol.44 , pp. 31-48
    • Billings, L.1    Schwartz, I.B.2
  • 7
    • 84867281549 scopus 로고    scopus 로고
    • On the formulation of epidemic models (an appraisal of Kermack and McKendrick)
    • Breda D., Diekmann O., de Graaf W.F., Pugliese A., Vermiglio R. On the formulation of epidemic models (an appraisal of Kermack and McKendrick). J. Biol. Dyn. 2012, 6(Suppl. 2):103-117.
    • (2012) J. Biol. Dyn. , vol.6 , pp. 103-117
    • Breda, D.1    Diekmann, O.2    de Graaf, W.F.3    Pugliese, A.4    Vermiglio, R.5
  • 9
    • 0141702339 scopus 로고    scopus 로고
    • Population dynamics of rapid fixation in cytotoxic T lymphocyte escape mutants of influenza A
    • Gog J.R., Rimmelzwaan G.F., Osterhaus A.D.M.E., Grenfell B.T. Population dynamics of rapid fixation in cytotoxic T lymphocyte escape mutants of influenza A. PNAS 2003, 100:11143-11147.
    • (2003) PNAS , vol.100 , pp. 11143-11147
    • Gog, J.R.1    Rimmelzwaan, G.F.2    Osterhaus, A.D.M.E.3    Grenfell, B.T.4
  • 10
    • 33748982385 scopus 로고    scopus 로고
    • Seasonal infectious disease epidemiology
    • Grassly N.C., Fraser C. Seasonal infectious disease epidemiology. Proc. R. Soc. B 2006, 273:2541-2550.
    • (2006) Proc. R. Soc. B , vol.273 , pp. 2541-2550
    • Grassly, N.C.1    Fraser, C.2
  • 12
    • 0034168871 scopus 로고    scopus 로고
    • Stochastic host-parasite interaction models
    • Herbert J., Isham V. Stochastic host-parasite interaction models. J. Math. Biol. 2000, 40:343-371.
    • (2000) J. Math. Biol. , vol.40 , pp. 343-371
    • Herbert, J.1    Isham, V.2
  • 13
    • 42649103642 scopus 로고    scopus 로고
    • Deterministic epidemic models with explicit household structure
    • House T., Keeling M.J. Deterministic epidemic models with explicit household structure. Math. Biosci. 2008, 213:29-39.
    • (2008) Math. Biosci. , vol.213 , pp. 29-39
    • House, T.1    Keeling, M.J.2
  • 14
    • 0026335575 scopus 로고
    • Assessing the variability of stochastic epidemics
    • Isham V.S. Assessing the variability of stochastic epidemics. Math. Biosci. 1991, 107:209-224.
    • (1991) Math. Biosci. , vol.107 , pp. 209-224
    • Isham, V.S.1
  • 15
    • 0033794910 scopus 로고    scopus 로고
    • Metapopulation moments: coupling, stochasticity and persistence
    • Keeling M.J. Metapopulation moments: coupling, stochasticity and persistence. J. Anim. Ecol. 2000, 69:725-736.
    • (2000) J. Anim. Ecol. , vol.69 , pp. 725-736
    • Keeling, M.J.1
  • 16
    • 84856531057 scopus 로고    scopus 로고
    • Age profile of immunity to influenza: effect of original antigenic sin
    • Kucharski A., Gog J.R. Age profile of immunity to influenza: effect of original antigenic sin. Theor. Pop. Biol. 2012, 81:102-112.
    • (2012) Theor. Pop. Biol. , vol.81 , pp. 102-112
    • Kucharski, A.1    Gog, J.R.2
  • 17
    • 0002232633 scopus 로고
    • Solutions of ordinary differential equations as limits of pure jump Markov processes
    • Kurtz T.G. Solutions of ordinary differential equations as limits of pure jump Markov processes. J. Appl. Prob. 1970, 7:49-58.
    • (1970) J. Appl. Prob. , vol.7 , pp. 49-58
    • Kurtz, T.G.1
  • 18
    • 0001249058 scopus 로고
    • Limit theorems for sequences of jump Markov processes approximating ordinary differential equations
    • Kurtz T.G. Limit theorems for sequences of jump Markov processes approximating ordinary differential equations. J. Appl. Prob. 1971, 8:344-356.
    • (1971) J. Appl. Prob. , vol.8 , pp. 344-356
    • Kurtz, T.G.1
  • 20
    • 63149106090 scopus 로고    scopus 로고
    • No coexistence for free: neutral null models for multistrain pathogens
    • Lipsitch M., Colijn C., Cohen E., Hanage W.P., Fraser C. No coexistence for free: neutral null models for multistrain pathogens. Epidemics 2009, 1:2-13.
    • (2009) Epidemics , vol.1 , pp. 2-13
    • Lipsitch, M.1    Colijn, C.2    Cohen, E.3    Hanage, W.P.4    Fraser, C.5
  • 21
    • 0347063875 scopus 로고    scopus 로고
    • Estimating variability in models for recurrent epidemics: assessing the use of moment closure techniques
    • Lloyd A.L. Estimating variability in models for recurrent epidemics: assessing the use of moment closure techniques. Theor. Pop. Biol. 2004, 65:49-65.
    • (2004) Theor. Pop. Biol. , vol.65 , pp. 49-65
    • Lloyd, A.L.1
  • 22
    • 1642284439 scopus 로고    scopus 로고
    • Progression age enhanced backward bifurcation in an epidemic model with super-infection
    • Martcheva M., Thieme H. Progression age enhanced backward bifurcation in an epidemic model with super-infection. J. Math. Biol. 2003, 46:385-424.
    • (2003) J. Math. Biol. , vol.46 , pp. 385-424
    • Martcheva, M.1    Thieme, H.2
  • 23
    • 53649100391 scopus 로고    scopus 로고
    • Tasmanian devil facial tumour disease: lessons for conservation biology
    • McCallum H. Tasmanian devil facial tumour disease: lessons for conservation biology. Trends Ecol. Evol. 2008, 23:631-637.
    • (2008) Trends Ecol. Evol. , vol.23 , pp. 631-637
    • McCallum, H.1
  • 26
    • 84939940632 scopus 로고    scopus 로고
    • Optimal vaccination strategies in an SIR epidemic model with time scales
    • Owuor O.N., Muller J., Kibet M.S. Optimal vaccination strategies in an SIR epidemic model with time scales. Appl. Math. 2013, 4:1-14.
    • (2013) Appl. Math. , vol.4 , pp. 1-14
    • Owuor, O.N.1    Muller, J.2    Kibet, M.S.3
  • 28
    • 78149372436 scopus 로고    scopus 로고
    • Contact network structure explains the changing epidemiology of pertussis
    • Rohani P., Zhong X., King A.A. Contact network structure explains the changing epidemiology of pertussis. Science 2010, 330:982-985.
    • (2010) Science , vol.330 , pp. 982-985
    • Rohani, P.1    Zhong, X.2    King, A.A.3
  • 29
  • 30
    • 84859451205 scopus 로고    scopus 로고
    • A universal model for mobility and migration patterns
    • Simini F., Gonzalez M.C., Maritan A., Barabasi A.-L. A universal model for mobility and migration patterns. Nature 2012, 484:96-100.
    • (2012) Nature , vol.484 , pp. 96-100
    • Simini, F.1    Gonzalez, M.C.2    Maritan, A.3    Barabasi, A.-L.4
  • 32
    • 34047120681 scopus 로고    scopus 로고
    • Seasonal dynamics of recurrent epidemics
    • Stone L., Olinky R., Huppert A. Seasonal dynamics of recurrent epidemics. Nature 2007, 446:533-536.
    • (2007) Nature , vol.446 , pp. 533-536
    • Stone, L.1    Olinky, R.2    Huppert, A.3
  • 34
    • 36749049140 scopus 로고    scopus 로고
    • SIR dynamics in random networks with heterogeneous connectivity
    • Volz E. SIR dynamics in random networks with heterogeneous connectivity. J. Math. Biol. 2008, 56:293-310.
    • (2008) J. Math. Biol. , vol.56 , pp. 293-310
    • Volz, E.1
  • 36
    • 17244380460 scopus 로고    scopus 로고
    • Sheep retrovirus structural protein induces lung tumours
    • Wootton S.K., Halbert C.L., Miller A.D. Sheep retrovirus structural protein induces lung tumours. Nature 2005, 434:904-907.
    • (2005) Nature , vol.434 , pp. 904-907
    • Wootton, S.K.1    Halbert, C.L.2    Miller, A.D.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.