메뉴 건너뛰기




Volumn 261, Issue 8, 2016, Pages 4424-4447

Asymptotic profiles of steady states for a diffusive SIS epidemic model with mass action infection mechanism

Author keywords

Asymptotic profiles; Diffusive SIS epidemic model; Endemic equilibrium; Mass action; Standard incidence

Indexed keywords


EID: 84979545662     PISSN: 00220396     EISSN: 10902732     Source Type: Journal    
DOI: 10.1016/j.jde.2016.06.028     Document Type: Article
Times cited : (165)

References (17)
  • 1
    • 84945556364 scopus 로고    scopus 로고
    • Competitive exclusion and coexistence in a two-strain pathogen model with diffusion
    • [1] Ackleh, A., Deng, K., Wu, Y., Competitive exclusion and coexistence in a two-strain pathogen model with diffusion. Math. Biosci. Eng. 13 (2016), 1–18.
    • (2016) Math. Biosci. Eng. , vol.13 , pp. 1-18
    • Ackleh, A.1    Deng, K.2    Wu, Y.3
  • 2
    • 44449127242 scopus 로고    scopus 로고
    • Asymptotic profiles of the steady states for an SIS epidemic reaction–diffusion model
    • [2] Allen, L.J.S., Bolker, B.M., Lou, Y., Nevai, A.L., Asymptotic profiles of the steady states for an SIS epidemic reaction–diffusion model. Discrete Contin. Dyn. Syst. 21 (2008), 1–20.
    • (2008) Discrete Contin. Dyn. Syst. , vol.21 , pp. 1-20
    • Allen, L.J.S.1    Bolker, B.M.2    Lou, Y.3    Nevai, A.L.4
  • 3
    • 2942630398 scopus 로고    scopus 로고
    • Spatial Ecology via Reaction–Diffusion Equations
    • Wiley Chichester, West Sussex, UK
    • [3] Cantrell, R.S., Cosner, C., Spatial Ecology via Reaction–Diffusion Equations. 2003, Wiley, Chichester, West Sussex, UK.
    • (2003)
    • Cantrell, R.S.1    Cosner, C.2
  • 4
    • 0002542873 scopus 로고
    • Large amplitude stationary solutions to a chemotaxis system
    • [4] Lin, C.-S., Ni, W.-W., Takagi, I., Large amplitude stationary solutions to a chemotaxis system. J. Differential Equations 72 (1988), 1–27.
    • (1988) J. Differential Equations , vol.72 , pp. 1-27
    • Lin, C.-S.1    Ni, W.-W.2    Takagi, I.3
  • 5
    • 84991214653 scopus 로고    scopus 로고
    • Dynamics of an SIS epidemic reaction–diffusion model
    • in press
    • [5] Deng, K., Wu, Y., Dynamics of an SIS epidemic reaction–diffusion model. Proc. Roy. Soc. Edinburgh Sect. A, 2016 in press.
    • (2016) Proc. Roy. Soc. Edinburgh Sect. A
    • Deng, K.1    Wu, Y.2
  • 6
    • 77954643852 scopus 로고    scopus 로고
    • Dynamics of an SIS reaction–diffusion epidemic model for disease transmission
    • [6] Huang, W., Han, M., Liu, K., Dynamics of an SIS reaction–diffusion epidemic model for disease transmission. Math. Biosci. Eng. 7 (2010), 51–66.
    • (2010) Math. Biosci. Eng. , vol.7 , pp. 51-66
    • Huang, W.1    Han, M.2    Liu, K.3
  • 7
    • 14244261388 scopus 로고    scopus 로고
    • Convergence in competition models with small diffusion coefficients
    • [7] Hutson, V., Lou, Y., Mischaikow, K., Convergence in competition models with small diffusion coefficients. J. Differential Equations 211 (2005), 135–161.
    • (2005) J. Differential Equations , vol.211 , pp. 135-161
    • Hutson, V.1    Lou, Y.2    Mischaikow, K.3
  • 8
    • 0002091257 scopus 로고
    • How does transmission of infection depend on population size?
    • Cambridge University Press
    • [8] de Jong, M.C.M., et al. How does transmission of infection depend on population size?. Epidemic Models: Their Structure and Relation to Data, 1995, Cambridge University Press, 84–89.
    • (1995) Epidemic Models: Their Structure and Relation to Data , pp. 84-89
    • de Jong, M.C.M.1
  • 9
    • 84990969525 scopus 로고
    • A contribution to the mathematical theory of epidemics
    • [9] Kermack, W.O., McKendrick, A.G., A contribution to the mathematical theory of epidemics. Proc. R. Soc. Lond. Ser. A 115 (1927), 700–721.
    • (1927) Proc. R. Soc. Lond. Ser. A , vol.115 , pp. 700-721
    • Kermack, W.O.1    McKendrick, A.G.2
  • 10
    • 0030579038 scopus 로고    scopus 로고
    • Diffusion, self-diffusion and cross-diffusion
    • [10] Lou, Y., Ni, W.-M., Diffusion, self-diffusion and cross-diffusion. J. Differential Equations 131 (1996), 400–426.
    • (1996) J. Differential Equations , vol.131 , pp. 400-426
    • Lou, Y.1    Ni, W.-M.2
  • 11
    • 0035358852 scopus 로고    scopus 로고
    • How should pathogen transmission be modelled
    • [11] McCallum, H., Barlow, N., Hone, J., How should pathogen transmission be modelled. Trends Ecol. Evol. 16 (2001), 295–300.
    • (2001) Trends Ecol. Evol. , vol.16 , pp. 295-300
    • McCallum, H.1    Barlow, N.2    Hone, J.3
  • 12
    • 67349178620 scopus 로고    scopus 로고
    • Asymptotic profiles of the positive steady state for an SIS epidemic reaction–diffusion model, Part I
    • [12] Peng, R., Asymptotic profiles of the positive steady state for an SIS epidemic reaction–diffusion model, Part I. J. Differential Equations 247 (2009), 1096–1119.
    • (2009) J. Differential Equations , vol.247 , pp. 1096-1119
    • Peng, R.1
  • 13
    • 64849104334 scopus 로고    scopus 로고
    • Global stability of the steady states of an SIS epidemic reaction–diffusion model
    • [13] Peng, R., Liu, S., Global stability of the steady states of an SIS epidemic reaction–diffusion model. Nonlinear Anal. 71 (2009), 239–247.
    • (2009) Nonlinear Anal. , vol.71 , pp. 239-247
    • Peng, R.1    Liu, S.2
  • 14
    • 84880326333 scopus 로고    scopus 로고
    • Asymptotic profile of the positive steady state for an SIS epidemic reaction–diffusion model: effects of epidemic risk and population movement
    • [14] Peng, R., Yi, F., Asymptotic profile of the positive steady state for an SIS epidemic reaction–diffusion model: effects of epidemic risk and population movement. Phys. D 259 (2013), 8–25.
    • (2013) Phys. D , vol.259 , pp. 8-25
    • Peng, R.1    Yi, F.2
  • 15
    • 84859802133 scopus 로고    scopus 로고
    • A reaction–diffusion SIS epidemic model in a time-periodic environment
    • [15] Peng, R., Zhao, X., A reaction–diffusion SIS epidemic model in a time-periodic environment. Nonlinearity 25 (2012), 1451–1471.
    • (2012) Nonlinearity , vol.25 , pp. 1451-1471
    • Peng, R.1    Zhao, X.2
  • 16
    • 84868335328 scopus 로고    scopus 로고
    • Analytical and numerical approaches to coexistence of strains in a two-strain SIS model with diffusion
    • [16] Tuncer, N., Martcheva, M., Analytical and numerical approaches to coexistence of strains in a two-strain SIS model with diffusion. J. Biol. Dyn. 6 (2012), 406–439.
    • (2012) J. Biol. Dyn. , vol.6 , pp. 406-439
    • Tuncer, N.1    Martcheva, M.2
  • 17
    • 84991273446 scopus 로고    scopus 로고
    • Coexistence and competitive exclusion in an SIS model with standard incidence and diffusion, submitted for publication.
    • [17] Y. Wu, N. Tuncer, M. Martcheva, Coexistence and competitive exclusion in an SIS model with standard incidence and diffusion, submitted for publication.
    • Wu, Y.1    Tuncer, N.2    Martcheva, M.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.