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Volumn 433, Issue 1, 2016, Pages 227-242

Dynamics of a novel nonlinear stochastic SIS epidemic model with double epidemic hypothesis

Author keywords

Double epidemic hypothesis; Extinction; Nonlinear incidence rate; Permanence in mean; Stochastic SIS epidemic model

Indexed keywords


EID: 84940713463     PISSN: 0022247X     EISSN: 10960813     Source Type: Journal    
DOI: 10.1016/j.jmaa.2015.07.056     Document Type: Article
Times cited : (236)

References (19)
  • 1
    • 84871999135 scopus 로고    scopus 로고
    • The existence of codimension-two bifurcation in a discrete SIS epidemic model with standard incidence
    • Chen Q.L., Teng Z.D., Wang L., Jiang H.J. The existence of codimension-two bifurcation in a discrete SIS epidemic model with standard incidence. Nonlinear Dynam. 2013, 71(1-2):55-73.
    • (2013) Nonlinear Dynam. , vol.71 , Issue.1-2 , pp. 55-73
    • Chen, Q.L.1    Teng, Z.D.2    Wang, L.3    Jiang, H.J.4
  • 2
    • 84872319947 scopus 로고    scopus 로고
    • Long time behaviour of a stochastic model for continuous flow bioreactor
    • Chen Z., Zhang T. Long time behaviour of a stochastic model for continuous flow bioreactor. J. Math. Chem. 2013, 51:451-464.
    • (2013) J. Math. Chem. , vol.51 , pp. 451-464
    • Chen, Z.1    Zhang, T.2
  • 3
    • 33749063660 scopus 로고    scopus 로고
    • Dynamics of a stochastic Lotka-Volterra model perturbed by white noise
    • Du N.H., Sam V.H. Dynamics of a stochastic Lotka-Volterra model perturbed by white noise. J. Math. Anal. Appl. 2006, 324(1):82-97.
    • (2006) J. Math. Anal. Appl. , vol.324 , Issue.1 , pp. 82-97
    • Du, N.H.1    Sam, V.H.2
  • 4
    • 33746833233 scopus 로고    scopus 로고
    • Analysis of a delayed epidemic model with pulse vaccination and saturation incidence
    • Gao S.J., Chen L.S., Nieto J.J., Torres A. Analysis of a delayed epidemic model with pulse vaccination and saturation incidence. Vaccine 2006, 24(35-36):6037-6045.
    • (2006) Vaccine , vol.24 , Issue.35-36 , pp. 6037-6045
    • Gao, S.J.1    Chen, L.S.2    Nieto, J.J.3    Torres, A.4
  • 5
    • 79960370338 scopus 로고    scopus 로고
    • A stochastic differential equation SIS epidemic model
    • Gray A., Greenhalgh D., Hu L., Mao X., Pan J. A stochastic differential equation SIS epidemic model. SIAM J. Appl. Math. 2011, 71(3):876-902.
    • (2011) SIAM J. Appl. Math. , vol.71 , Issue.3 , pp. 876-902
    • Gray, A.1    Greenhalgh, D.2    Hu, L.3    Mao, X.4    Pan, J.5
  • 6
    • 79952616171 scopus 로고    scopus 로고
    • Multigroup SIR epidemic model with stochastic perturbation
    • Ji C., Jiang D.Q., Shi N.Z. Multigroup SIR epidemic model with stochastic perturbation. Phys. A 2011, 390(10):1747-1762.
    • (2011) Phys. A , vol.390 , Issue.10 , pp. 1747-1762
    • Ji, C.1    Jiang, D.Q.2    Shi, N.Z.3
  • 8
    • 33746594608 scopus 로고    scopus 로고
    • Lyapunov functions and global stability for SIR and SIRS epidemiological models with non-linear transmission
    • Korobeinikov A. Lyapunov functions and global stability for SIR and SIRS epidemiological models with non-linear transmission. Bull. Math. Biol. 2006, 68(3):615-626.
    • (2006) Bull. Math. Biol. , vol.68 , Issue.3 , pp. 615-626
    • Korobeinikov, A.1
  • 9
    • 84875377047 scopus 로고    scopus 로고
    • Endemic threshold results for an age-structured SIS epidemic model with periodic parameters
    • Kuniya T., Inaba H. Endemic threshold results for an age-structured SIS epidemic model with periodic parameters. J. Math. Anal. Appl. 2013, 402(2):477-492.
    • (2013) J. Math. Anal. Appl. , vol.402 , Issue.2 , pp. 477-492
    • Kuniya, T.1    Inaba, H.2
  • 10
    • 67651230411 scopus 로고    scopus 로고
    • Stability and bifurcation of an SIS epidemic model with treatment
    • Li X.Z., Li W.S., Ghosh M. Stability and bifurcation of an SIS epidemic model with treatment. Chaos Solitons Fractals 2009, 42(5):2822-2832.
    • (2009) Chaos Solitons Fractals , vol.42 , Issue.5 , pp. 2822-2832
    • Li, X.Z.1    Li, W.S.2    Ghosh, M.3
  • 11
    • 77952673264 scopus 로고    scopus 로고
    • Persistence and extinction of a stochastic single-species model under regime switching in a polluted environment
    • Liu M., Wang K. Persistence and extinction of a stochastic single-species model under regime switching in a polluted environment. J. Theoret. Biol. 2010, 264:934-944.
    • (2010) J. Theoret. Biol. , vol.264 , pp. 934-944
    • Liu, M.1    Wang, K.2
  • 12
    • 84861937759 scopus 로고    scopus 로고
    • Stability analysis of an SEIQV epidemic model with saturated incidence rate
    • Liu X.B., Ynag L.J. Stability analysis of an SEIQV epidemic model with saturated incidence rate. Nonlinear Anal. Real World Appl. 2012, 13(16):2671-2679.
    • (2012) Nonlinear Anal. Real World Appl. , vol.13 , Issue.16 , pp. 2671-2679
    • Liu, X.B.1    Ynag, L.J.2
  • 14
    • 77949274591 scopus 로고    scopus 로고
    • Dynamics of a novel nonlinear SIR model with double epidemic hypothesis and impulsive effects
    • Meng X.Z., Li Z.Q., Wang X.L. Dynamics of a novel nonlinear SIR model with double epidemic hypothesis and impulsive effects. Nonlinear Dynam. 2010, 59:503-513.
    • (2010) Nonlinear Dynam. , vol.59 , pp. 503-513
    • Meng, X.Z.1    Li, Z.Q.2    Wang, X.L.3
  • 15
    • 0004838039 scopus 로고    scopus 로고
    • The asymptotic behaviour of a logistic epidemic model with stochastic disease transmission
    • Roberts M.G., Saha A.K. The asymptotic behaviour of a logistic epidemic model with stochastic disease transmission. Appl. Math. Lett. 1999, 12(1):37-41.
    • (1999) Appl. Math. Lett. , vol.12 , Issue.1 , pp. 37-41
    • Roberts, M.G.1    Saha, A.K.2
  • 16
    • 84897457629 scopus 로고    scopus 로고
    • Dynamical analysis of a stochastic model for cascaded continuous flow bioreactors
    • Zhang T., Chen Z., Han M. Dynamical analysis of a stochastic model for cascaded continuous flow bioreactors. J. Math. Chem. 2014, 52:1441-1459.
    • (2014) J. Math. Chem. , vol.52 , pp. 1441-1459
    • Zhang, T.1    Chen, Z.2    Han, M.3
  • 17
    • 56549115873 scopus 로고    scopus 로고
    • Backward bifurcation and global dynamics of an SIS epidemic model with general incidence rate and treatment
    • Zhang X., Liu X. Backward bifurcation and global dynamics of an SIS epidemic model with general incidence rate and treatment. Nonlinear Anal. 2009, 2:565-575.
    • (2009) Nonlinear Anal. , vol.2 , pp. 565-575
    • Zhang, X.1    Liu, X.2
  • 18
    • 84884866242 scopus 로고    scopus 로고
    • Dynamics of stochastically perturbed SIS epidemic model with vaccination
    • Zhao Y., Jiang D. Dynamics of stochastically perturbed SIS epidemic model with vaccination. Abstr. Appl. Anal. 2013, 2013:1-12.
    • (2013) Abstr. Appl. Anal. , vol.2013 , pp. 1-12
    • Zhao, Y.1    Jiang, D.2
  • 19
    • 84883134834 scopus 로고    scopus 로고
    • The extinction and persistence of the stochastic SIS epidemic model with vaccination
    • Zhao Y.N., Jiang D.Q., O'Regan D. The extinction and persistence of the stochastic SIS epidemic model with vaccination. Phys. A 2013, 392(20):4916-4927.
    • (2013) Phys. A , vol.392 , Issue.20 , pp. 4916-4927
    • Zhao, Y.N.1    Jiang, D.Q.2    O'Regan, D.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.