메뉴 건너뛰기




Volumn 5, Issue 2, 2005, Pages 175-188

Competitive exclusion in SIS and SIR epidemic models with total cross immunity and density-dependent host mortality

Author keywords

Competitive exclusion; Cross immunity; Epidemic models

Indexed keywords


EID: 18144419366     PISSN: 15313492     EISSN: None     Source Type: Journal    
DOI: 10.3934/dcdsb.2005.5.175     Document Type: Article
Times cited : (39)

References (34)
  • 1
    • 2442617064 scopus 로고    scopus 로고
    • Competitive exclusion and coexistence for pathogens in an epidemic model with variable population size
    • A.S. Ackleh and L.J.S. Allen, 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
  • 2
    • 0030021378 scopus 로고    scopus 로고
    • Environmentally-driven epizootics
    • L.J.S. Allen and P.J. Cormier, Environmentally-driven epizootics, Math. Biosci., 131 (1996), 51-80.
    • (1996) Math. Biosci. , vol.131 , pp. 51-80
    • Allen, L.J.S.1    Cormier, P.J.2
  • 3
    • 0242522862 scopus 로고    scopus 로고
    • The dynamics of two viral infections in a single host population with applications to hantavirus
    • L.J.S. Allen, M. Langlais and C.J. Phillips, 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
  • 4
    • 0020335555 scopus 로고
    • Coevolution of hosts and parasites
    • R.M. Anderson and R.M. May, Coevolution of hosts and parasites, Parasitology, 85 (1982), 411-426.
    • (1982) Parasitology , vol.85 , pp. 411-426
    • Anderson, R.M.1    May, R.M.2
  • 5
    • 0031203954 scopus 로고    scopus 로고
    • The dynamics of cocirculating influenza strains conferring partial cross-immunity
    • V. Andreasen, J. Lin and S.A. Levin, 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
  • 6
    • 0029557912 scopus 로고
    • Pathogen coexistence induced by density dependent host mortality
    • V. Andreasen and A. Pugliese, 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
  • 7
    • 0034723414 scopus 로고    scopus 로고
    • A tale of two futures: HIV and antiretroviral therapy in San Francisco
    • S. M. Blower and H.B. Gershengorn, A tale of two futures: HIV and antiretroviral therapy in San Francisco, Science, 287 (2000), 650-654.
    • (2000) Science , vol.287 , pp. 650-654
    • Blower, S.M.1    Gershengorn, H.B.2
  • 8
    • 0024572669 scopus 로고
    • A competitive exclusion principle for pathogen virulence
    • H. J. Bremermann and H.R. Thieme, 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
  • 9
    • 0030128038 scopus 로고    scopus 로고
    • Competitive exclusion in gonorrhea models and other sexually transmitted diseases
    • C. Castillo-Chavez, W. Huang and J. Li, 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
  • 10
    • 0031131720 scopus 로고    scopus 로고
    • The effects of females' susceptibility on the coexistence of multiple pathogen strains of sexually transmitted diseases
    • C. Castillo-Chavez, W. Huang and J. Li, The effects of females' susceptibility on the coexistence of multiple pathogen strains of sexually transmitted diseases, J. Math. Biol., 35 (1996), 503-522.
    • (1996) J. Math. Biol. , vol.35 , pp. 503-522
    • Castillo-Chavez, C.1    Huang, W.2    Li, J.3
  • 11
    • 0033356422 scopus 로고    scopus 로고
    • Competitive exclusion and coexistence of multiple strains in an SIS STD model
    • C. Castillo-Chavez, W. Huang and J. Li, 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
  • 12
    • 0032555053 scopus 로고    scopus 로고
    • On the relationship between evolution of virulence and host demography
    • C. Castillo-Chavez and J.X. Velasco-Hernández, 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
  • 13
    • 0012217934 scopus 로고    scopus 로고
    • The onset of oscillatory dynamics in models of multiple disease strains
    • J.H.P. Dawes and J. R. Gog, 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
  • 14
    • 0002091257 scopus 로고
    • How does transmission of infection depend on population size?
    • D. Mollison (Ed.), Cambridge University Press, Cambridge
    • M. de Jong, O. Diekmann and H. Heesterbeek, How does transmission of infection depend on population size? In: EPIDEMIC MODELS: THEIR STRUCTURE AND RELATION TO DATA, D. Mollison (Ed.), Cambridge University Press, Cambridge, 1995.
    • (1995) Epidemic Models: Their Structure and Relation to Data
    • De Jong, M.1    Diekmann, O.2    Heesterbeek, H.3
  • 15
    • 0043263962 scopus 로고    scopus 로고
    • Homoclinic orbits in a disease transmission model with nonlinear incidence and nonconstant population
    • W. R. Derrick and P. van den Driessche, Homoclinic orbits in a disease transmission model with nonlinear incidence and nonconstant population, Discrete and Continuous Dynamical Systems-Series B, 3 (2003), 299-309.
    • (2003) Discrete and Continuous Dynamical Systems-series B , vol.3 , pp. 299-309
    • Derrick, W.R.1    Van Den Driessche, P.2
  • 16
    • 0041758423 scopus 로고    scopus 로고
    • Coexistence of different serotypes of dengue virus
    • L. Esteva and C. Vargas, 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
  • 17
    • 0031137301 scopus 로고    scopus 로고
    • Competitive exclusion in a vector-host model for the dengue fever
    • Z. Feng and J.X. Velasco-Hernández, 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
  • 18
    • 0000236104 scopus 로고
    • Epidemic models: Thresholds and population regulation
    • W.M. Getz and J. Pickering, Epidemic models: thresholds and population regulation. Amer. Nat., 121 (1983), 892-898.
    • (1983) Amer. Nat. , vol.121 , pp. 892-898
    • Getz, W.M.1    Pickering, J.2
  • 19
    • 0025635294 scopus 로고
    • The coexistence of competing parasites I, the role of cross-species infection
    • M.E. Hochberg and R.D. Holt, The coexistence of competing parasites I, The role of cross-species infection, Amer. Nat., 136 (1990), 517-541.
    • (1990) Amer. Nat. , vol.136 , pp. 517-541
    • Hochberg, M.E.1    Holt, R.D.2
  • 20
    • 0000251449 scopus 로고
    • Community equilibria and stability, and an extension of the competitive exclusion principle
    • S.A. Levin, Community equilibria and stability, and an extension of the competitive exclusion principle, Amer. Nat., 104 (1970), 413-423.
    • (1970) Amer. Nat. , vol.104 , pp. 413-423
    • Levin, S.A.1
  • 21
    • 0000432785 scopus 로고
    • Selection of intermediate rates of increase in parasite-host systems
    • S. Levin and D. Pimentel, Selection of intermediate rates of increase in parasite-host systems, Amer. Nat., 117 (1981), 308-315.
    • (1981) Amer. Nat. , vol.117 , pp. 308-315
    • Levin, S.1    Pimentel, D.2
  • 22
    • 0029007986 scopus 로고
    • The evolution of virulence in sexually transmitted HIV/AIDS
    • M. Lipsitch and M.A. Nowak, The evolution of virulence in sexually transmitted HIV/AIDS, J. Theor. Biol., 174 (1995), 427-440.
    • (1995) J. Theor. Biol. , vol.174 , pp. 427-440
    • Lipsitch, M.1    Nowak, M.A.2
  • 23
    • 0023070210 scopus 로고
    • Dynamical behavior of epidemiological models with nonlinear incidence rates
    • W-M. Liu, H. W. Hethcote, and S. A. Levin, Dynamical behavior of epidemiological models with nonlinear incidence rates, J. Math. Biol., 25 (1987), 359-380.
    • (1987) J. Math. Biol. , vol.25 , pp. 359-380
    • Liu, W.-M.1    Hethcote, H.W.2    Levin, S.A.3
  • 24
    • 0022298258 scopus 로고
    • Influence of nonlinear incidence rates upon the behavior of SIRS epidemiological models
    • W-M. Liu, S. A. Levin, and Y. Iwasa, Influence of nonlinear incidence rates upon the behavior of SIRS epidemiological models, J. Math. Biol., 23 (1986), 187-204.
    • (1986) J. Math. Biol. , vol.23 , pp. 187-204
    • Liu, W.-M.1    Levin, S.A.2    Iwasa, Y.3
  • 25
    • 0021085051 scopus 로고
    • Epidemiology and genetics in the coevolution of parasites and hosts
    • R.M. May and R.M. Anderson, Epidemiology and genetics in the coevolution of parasites and hosts, Proc. R. Soc. Lond. B, 219 (1983), 281-313.
    • (1983) Proc. R. Soc. Lond. B , vol.219 , pp. 281-313
    • May, R.M.1    Anderson, R.M.2
  • 26
    • 0028162163 scopus 로고
    • Superinfection, metapopulation dynamics, and the evolution of virulence
    • R. May and M.A. Nowak, Superinfection, metapopulation dynamics, and the evolution of virulence, J. Theor. Biol., 170 (1995), 95-114.
    • (1995) J. Theor. Biol. , vol.170 , pp. 95-114
    • May, R.1    Nowak, M.A.2
  • 27
    • 0029126910 scopus 로고
    • Coinfection and the evolution of parasite virulence
    • R.M. May, M.A. Nowak, 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
  • 29
    • 0032494966 scopus 로고    scopus 로고
    • Evolution of virulence: A unified framework for coinfection and superinfection
    • J. Mosquera and F.R. Adler, 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
  • 30
    • 0028031923 scopus 로고
    • Superinfection and the evolution of parasite virulence
    • M.A. Nowak and R.M. May, 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
  • 31
    • 0036238636 scopus 로고    scopus 로고
    • On the evolutionary coexistence of parasite strains
    • A. Pugliese, 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
  • 32
    • 0028995656 scopus 로고
    • The dynamics of multiple infection and the evolution of virulence
    • M. van Baalen and M.W. Sabelis, The dynamics of multiple infection and the evolution of virulence, Amer. Nat., 146 (1995), 881-910.
    • (1995) Amer. Nat. , vol.146 , pp. 881-910
    • Van Baalen, M.1    Sabelis, M.W.2
  • 33
    • 0036845274 scopus 로고    scopus 로고
    • Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
    • P. van den Driessche and J. Watmough, Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission, Math. Biosci., 180 (2002), 29-48.
    • (2002) Math. Biosci. , vol.180 , pp. 29-48
    • Van Den Driessche, P.1    Watmough, J.2
  • 34
    • 0036327914 scopus 로고    scopus 로고
    • Could widespread use of combination antiretroviral therapy eradicate HIV epidemics?
    • J.X. Velasco-Hernandez, H.B. Gershengorn and S.M. Blower, Could widespread use of combination antiretroviral therapy eradicate HIV epidemics? The Lancet, 2 (2002), 487-493.
    • (2002) The Lancet , vol.2 , pp. 487-493
    • Velasco-Hernandez, J.X.1    Gershengorn, H.B.2    Blower, S.M.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.