메뉴 건너뛰기




Volumn 66, Issue 4, 2004, Pages 841-864

Coexistence of multiple pathogen strains in stochastic epidemic models with density-dependent mortality

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; BIOLOGICAL MODEL; COMMUNICABLE DISEASE; COMPARATIVE STUDY; EPIDEMIC; EPIDEMIOLOGY; HUMAN; STATISTICS;

EID: 3042695162     PISSN: 00928240     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.bulm.2003.11.007     Document Type: Article
Times cited : (42)

References (57)
  • 1
    • 2442617064 scopus 로고    scopus 로고
    • Competitive exclusion and coexistence for pathogens in an epidemic model with variable population size
    • Ackleh A.S., Allen L.J.S. Competitive exclusion and coexistence for pathogens in an epidemic model with variable population size. J. Math. Biol. 47:2003;153-168
    • (2003) J. Math. Biol. , vol.47 , pp. 153-168
    • Ackleh, A.S.1    Allen, L.J.S.2
  • 3
    • 0004449663 scopus 로고    scopus 로고
    • Stochastic differential equations and persistence time for two interacting populations
    • Allen E.J. Stochastic differential equations and persistence time for two interacting populations. Dyn. Cont., Discrete Impulsive Syst. 5:1999;271-281
    • (1999) Dyn. Cont., Discrete Impulsive Syst. , vol.5 , pp. 271-281
    • Allen, E.J.1
  • 5
    • 0346338100 scopus 로고    scopus 로고
    • A comparison of three different stochastic population models with regard to persistence time
    • Allen L.J.S., Allen E.J. A comparison of three different stochastic population models with regard to persistence time. Theor. Popul. Biol. 64:2003;439-449
    • (2003) Theor. Popul. Biol. , vol.64 , pp. 439-449
    • Allen, L.J.S.1    Allen, E.J.2
  • 6
    • 0033979874 scopus 로고    scopus 로고
    • Comparison of deterministic and stochastic SIS and SIR models in discrete time
    • Allen L.J.S., Burgin A.M. Comparison of deterministic and stochastic SIS and SIR models in discrete time. Math. Biosci. 163:2000;1-31
    • (2000) Math. Biosci. , vol.163 , pp. 1-31
    • Allen, L.J.S.1    Burgin, A.M.2
  • 7
    • 0242522862 scopus 로고    scopus 로고
    • The dynamics of two viral infections in a single host population with applications to hantavirus
    • Allen L.J.S., Langlais M., Phillips C.J. The dynamics of two viral infections in a single host population with applications to hantavirus. Math. Biosci. 186:2003;191-217
    • (2003) Math. Biosci. , vol.186 , pp. 191-217
    • Allen, L.J.S.1    Langlais, M.2    Phillips, C.J.3
  • 8
    • 0031203954 scopus 로고    scopus 로고
    • The dynamics of cocirculating influenza strains conferring partial cross-immunity
    • Andreasen V., Lin J., Levin S.A. The dynamics of cocirculating influenza strains conferring partial cross-immunity. J. Math. Biol. 35:1997;825-842
    • (1997) J. Math. Biol. , vol.35 , pp. 825-842
    • Andreasen, V.1    Lin, J.2    Levin, S.A.3
  • 9
    • 0029557912 scopus 로고
    • Pathogen coexistence induced by density dependent host mortality
    • Andreasen V., Pugliese A. Pathogen coexistence induced by density dependent host mortality. J. Theor. Biol. 177:1995;159-165
    • (1995) J. Theor. Biol. , vol.177 , pp. 159-165
    • Andreasen, V.1    Pugliese, A.2
  • 10
    • 0345959467 scopus 로고    scopus 로고
    • Limits of a multi-patch SIS epidemic model
    • Arrigoni F., Pugliese A. Limits of a multi-patch SIS epidemic model. J. Math. Biol. 45:2002;419-440
    • (2002) J. Math. Biol. , vol.45 , pp. 419-440
    • Arrigoni, F.1    Pugliese, A.2
  • 13
    • 0032896314 scopus 로고    scopus 로고
    • Stochastic and deterministic models for SIS epidemics among a population partitioned into households
    • Ball F.G. Stochastic and deterministic models for SIS epidemics among a population partitioned into households. Math. Biosci. 156:1999;41-67
    • (1999) Math. Biosci. , vol.156 , pp. 41-67
    • Ball, F.G.1
  • 14
    • 0033235817 scopus 로고    scopus 로고
    • The distribution of general final state random variables for stochastic epidemic models
    • Ball F.G., O'Neill P.D. The distribution of general final state random variables for stochastic epidemic models. J. Appl. Prob. 36:1999;473-491
    • (1999) J. Appl. Prob. , vol.36 , pp. 473-491
    • Ball, F.G.1    O'Neill, P.D.2
  • 16
    • 0024572669 scopus 로고
    • A competitive exclusion principle for pathogen virulence
    • Bremermann H.J., Thieme H.R. A competitive exclusion principle for pathogen virulence. J. Math. Biol. 27:1989;179-190
    • (1989) J. Math. Biol. , vol.27 , pp. 179-190
    • Bremermann, H.J.1    Thieme, H.R.2
  • 17
    • 0030128038 scopus 로고    scopus 로고
    • Competitive exclusion in gonorrhea models and other sexually transmitted diseases
    • Castillo-Chavez C., Huang W., Li J. Competitive exclusion in gonorrhea models and other sexually transmitted diseases. SIAM J. Appl. Math. 56:1996;494-508
    • (1996) SIAM J. Appl. Math. , vol.56 , pp. 494-508
    • Castillo-Chavez, C.1    Huang, W.2    Li, J.3
  • 18
    • 0033356422 scopus 로고    scopus 로고
    • Competitive exclusion and coexistence of multiple strains in an SIS STD model
    • Castillo-Chavez C., Huang W., Li J. Competitive exclusion and coexistence of multiple strains in an SIS STD model. SIAM J. Appl. Math. 59:1999;1790-1811
    • (1999) SIAM J. Appl. Math. , vol.59 , pp. 1790-1811
    • Castillo-Chavez, C.1    Huang, W.2    Li, J.3
  • 19
    • 0032555053 scopus 로고    scopus 로고
    • On the relationship between evolution of virulence and host demography
    • Castillo-Chavez C., Velasco-Hernández J.X. On the relationship between evolution of virulence and host demography. J. Theor. Biol. 192:1998;437-444
    • (1998) J. Theor. Biol. , vol.192 , pp. 437-444
    • Castillo-Chavez, C.1    Velasco-Hernández, J.X.2
  • 20
    • 0033963691 scopus 로고    scopus 로고
    • Stochastic simulation and the detection of immunity to helminth infections
    • Chan M.-S., Mutapi F., Woolhouse M.E.J., Isham V.S. Stochastic simulation and the detection of immunity to helminth infections. Parasitology. 120:2000;161-169
    • (2000) Parasitology , vol.120 , pp. 161-169
    • Chan, M.-S.1    Mutapi, F.2    Woolhouse, M.E.J.3    Isham, V.S.4
  • 22
    • 0012217934 scopus 로고    scopus 로고
    • The onset of oscillatory dynamics in models of multiple disease strains
    • Dawes J.H.P., Gog J.R. The onset of oscillatory dynamics in models of multiple disease strains. J. Math. Biol. 45:2002;471-510
    • (2002) J. Math. Biol. , vol.45 , pp. 471-510
    • Dawes, J.H.P.1    Gog, J.R.2
  • 23
    • 0041758423 scopus 로고    scopus 로고
    • Coexistence of different serotypes of dengue virus
    • Esteva L., Vargas C. Coexistence of different serotypes of dengue virus. J. Math. Biol. 46:2003;31-47
    • (2003) J. Math. Biol. , vol.46 , pp. 31-47
    • Esteva, L.1    Vargas, C.2
  • 24
    • 0031137301 scopus 로고    scopus 로고
    • Competitive exclusion in a vector-host model for the dengue fever
    • Feng Z., Velasco-Hernández J.X. Competitive exclusion in a vector-host model for the dengue fever. J. Math. Biol. 35:1997;523-544
    • (1997) J. Math. Biol. , vol.35 , pp. 523-544
    • Feng, Z.1    Velasco-Hernández, J.X.2
  • 25
    • 0037468827 scopus 로고    scopus 로고
    • Ecological and immunological determinants of influenza evolution
    • Ferguson N.M., Galvani A.P., Bush R.M. Ecological and immunological determinants of influenza evolution. Nature. 422:2003;428-433
    • (2003) Nature , vol.422 , pp. 428-433
    • Ferguson, N.M.1    Galvani, A.P.2    Bush, R.M.3
  • 26
    • 0003220545 scopus 로고    scopus 로고
    • A stochastic model for extinction and recurrence of epidemics: Estimation and inference for measles outbreaks
    • Finkenstadt B.F., Bjornstad O.N., Grenfell B.T. A stochastic model for extinction and recurrence of epidemics: estimation and inference for measles outbreaks. Biostatistics. 3, 4:2002;493-510
    • (2002) Biostatistics , vol.34 , pp. 493-510
    • Finkenstadt, B.F.1    Bjornstad, O.N.2    Grenfell, B.T.3
  • 29
    • 0028268241 scopus 로고
    • Antigenic diversity and the transmission dynamics of Plasmodium falciparum
    • Gupta S., Trenholme K., Anderson R.M., Day K.P. Antigenic diversity and the transmission dynamics of Plasmodium falciparum. Science. 263:1994;961-963
    • (1994) Science , vol.263 , pp. 961-963
    • Gupta, S.1    Trenholme, K.2    Anderson, R.M.3    Day, K.P.4
  • 30
    • 0034168871 scopus 로고    scopus 로고
    • On stochastic host-parasite interaction models
    • Herbert J., Isham V.S. On stochastic host-parasite interaction models. J. Math. Biol. 40:2000;343-371
    • (2000) J. Math. Biol. , vol.40 , pp. 343-371
    • Herbert, J.1    Isham, V.S.2
  • 32
    • 0025635294 scopus 로고
    • The coexistence of competing parasites I. The role of cross species infection
    • Hochberg M.E., Holt R.D. The coexistence of competing parasites I. The role of cross species infection. Am. Nat. 136:1990;517-541
    • (1990) Am. Nat. , vol.136 , pp. 517-541
    • Hochberg, M.E.1    Holt, R.D.2
  • 33
    • 0032146796 scopus 로고    scopus 로고
    • A stochastic model of schistosomiasis immuno-epidemiology
    • Isham V., Chan M.-S. A stochastic model of schistosomiasis immuno-epidemiology. Math. Biosci. 151:1998;179-198
    • (1998) Math. Biosci. , vol.151 , pp. 179-198
    • Isham, V.1    Chan, M.-S.2
  • 35
    • 0027305851 scopus 로고
    • The stochastic SI model with recruitment and deaths I. Comparison with the closed SIS model
    • Jacquez J.A., Simon C.P. The stochastic SI model with recruitment and deaths I. comparison with the closed SIS model. Math. Biosci. 117:1993;77-125
    • (1993) Math. Biosci. , vol.117 , pp. 77-125
    • Jacquez, J.A.1    Simon, C.P.2
  • 41
    • 0000251449 scopus 로고
    • Community equilibria and stability, and an extension of the competitive exclusion principle
    • Levin S.A. Community equilibria and stability, and an extension of the competitive exclusion principle. Am. Nat. 104:1970;413-423
    • (1970) Am. Nat. , vol.104 , pp. 413-423
    • Levin, S.A.1
  • 43
    • 0028162163 scopus 로고
    • Superinfection, metapopulation dynamics, and the evolution of virulence
    • May R.M., Nowak M.A. Superinfection, metapopulation dynamics, and the evolution of virulence. J. Theor. Biol. 170:1994;95-114
    • (1994) J. Theor. Biol. , vol.170 , pp. 95-114
    • May, R.M.1    Nowak, M.A.2
  • 44
    • 0029126910 scopus 로고
    • Coinfection and the evolution of parasite virulence
    • May R.M., Nowak M.A. Coinfection and the evolution of parasite virulence. Proc. R. Soc. Lond. B. 261:1995;209-215
    • (1995) Proc. R. Soc. Lond. B , vol.261 , pp. 209-215
    • May, R.M.1    Nowak, M.A.2
  • 47
    • 0032494966 scopus 로고    scopus 로고
    • Evolution of virulence: A unified framework for coinfection and superinfection
    • Mosquera J., Adler F.R. Evolution of virulence: a unified framework for coinfection and superinfection. J. Theor. Biol. 195:1998;293-313
    • (1998) J. Theor. Biol. , vol.195 , pp. 293-313
    • Mosquera, J.1    Adler, F.R.2
  • 48
    • 0000635179 scopus 로고    scopus 로고
    • The quasi-stationary distribution of the closed endemic SIS model
    • Nåsell I. The quasi-stationary distribution of the closed endemic SIS model. Adv. Appl. Prob. 28:1996;895-932
    • (1996) Adv. Appl. Prob. , vol.28 , pp. 895-932
    • Nåsell, I.1
  • 49
    • 2542509066 scopus 로고    scopus 로고
    • On the quasi-stationary distribution of the stochastic logistic epidemic
    • Nåsell I. On the quasi-stationary distribution of the stochastic logistic epidemic. Math. Biosci. 156:1999;21-40
    • (1999) Math. Biosci. , vol.156 , pp. 21-40
    • Nåsell, I.1
  • 50
    • 24544434555 scopus 로고    scopus 로고
    • Endemicity, persistence, and quasi-stationarity
    • C. Castillo-Chavez, S. Blower, P. van den Driessche, D. Kirschner, & A.-A. Yakubu. New York: Springer
    • Nåsell I. Endemicity, persistence, and quasi-stationarity. Castillo-Chavez C., Blower S., van den Driessche P., Kirschner D., Yakubu A.-A. Mathematical Approaches for Emerging and Reemerging Infectious Diseases An Introduction. 2002;199-227 Springer, New York
    • (2002) Mathematical Approaches for Emerging and Reemerging Infectious Diseases An Introduction , pp. 199-227
    • Nåsell, I.1
  • 51
    • 0028031923 scopus 로고
    • Superinfection and the evolution of parasite virulence
    • Nowak M.A., May R.M. Superinfection and the evolution of parasite virulence. Proc. R. Soc. Lond. B. 255:1994;81-89
    • (1994) Proc. R. Soc. Lond. B , vol.255 , pp. 81-89
    • Nowak, M.A.1    May, R.M.2
  • 52
    • 0003538319 scopus 로고
    • New York and London: Plenum Press
    • Ortega J.M. Matrix Theory. 1987;Plenum Press, New York and London
    • (1987) Matrix Theory
    • Ortega, J.M.1
  • 53
    • 0036238636 scopus 로고    scopus 로고
    • On the evolutionary coexistence of parasite strains
    • Pugliese A. On the evolutionary coexistence of parasite strains. Math. Biosci. 177, 178:2002;355-375
    • (2002) Math. Biosci. , vol.177-178 , pp. 355-375
    • Pugliese, A.1
  • 55
    • 0036229603 scopus 로고    scopus 로고
    • The interplay between determinism and stochasticity in childhood diseases
    • Rohani P., Keeling M.J., Grenfell B.T. The interplay between determinism and stochasticity in childhood diseases. Am. Nat. 159:2002;469-481
    • (2002) Am. Nat. , vol.159 , pp. 469-481
    • Rohani, P.1    Keeling, M.J.2    Grenfell, B.T.3
  • 56
    • 0032030433 scopus 로고    scopus 로고
    • Extinction times and phase transitions for spatially structured closed epidemics
    • Swinton J. Extinction times and phase transitions for spatially structured closed epidemics. Bull. Math. Biol. 60:1998;215-230
    • (1998) Bull. Math. Biol. , vol.60 , pp. 215-230
    • Swinton, J.1
  • 57
    • 3042582744 scopus 로고    scopus 로고
    • An Introduction to Stochastic Modeling
    • New York: Academic Press
    • Taylor H.M., Karlin S. An Introduction to Stochastic Modeling. 3rd edn :1998;Academic Press, New York
    • (1998) 3rd Edn
    • Taylor, H.M.1    Karlin, S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.