메뉴 건너뛰기




Volumn 246, Issue , 2014, Pages 336-345

Global stability for a sheep brucellosis model with immigration

Author keywords

Brucellosis; Control strategy; Global dynamics; The basic reproduction number

Indexed keywords

BASIC REPRODUCTION NUMBER; BRUCELLOSIS; CONTROL STRATEGIES; GLOBAL DYNAMICS; GLOBAL STABILITY;

EID: 84907214486     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2014.08.028     Document Type: Article
Times cited : (79)

References (37)
  • 2
    • 79960511767 scopus 로고    scopus 로고
    • A model for ovine brucellosis incorporating direct and indirect transmission
    • B. Alnseba, B. Chahrazed, and M. Pierre A model for ovine brucellosis incorporating direct and indirect transmission J. Biol. Dyn. 4 2010 2 11
    • (2010) J. Biol. Dyn. , vol.4 , pp. 2-11
    • Alnseba, B.1    Chahrazed, B.2    Pierre, M.3
  • 4
    • 53949100246 scopus 로고    scopus 로고
    • Epidemiological survey of brucellosis in human and animals in Birjand, East of Iran
    • S. Bokaie, L. Sharifi, and H. Alizadeh Epidemiological survey of brucellosis in human and animals in Birjand, East of Iran J. Ani. Vet. Advan. 7 2008 460 463
    • (2008) J. Ani. Vet. Advan. , vol.7 , pp. 460-463
    • Bokaie, S.1    Sharifi, L.2    Alizadeh, H.3
  • 5
    • 0034770285 scopus 로고    scopus 로고
    • Dispersal, disease and life-history evolution
    • C. Castillo-Chaveza, and A.-A. Yakubu Dispersal, disease and life-history evolution Math. Biosci. 173 2001 35 53
    • (2001) Math. Biosci. , vol.173 , pp. 35-53
    • Castillo-Chaveza, C.1    Yakubu, A.-A.2
  • 6
    • 0031111368 scopus 로고    scopus 로고
    • Brucellosis: An overview
    • M.J. Corbel Brucellosis: an overview Emerg. Infect. Dis. 3 1997 213 221
    • (1997) Emerg. Infect. Dis. , vol.3 , pp. 213-221
    • Corbel, M.J.1
  • 9
    • 77953160649 scopus 로고    scopus 로고
    • The construction of next-generation matrices for compartmental epidemic models
    • O. Diekmann, J.A.P. Heesterbeek, and M.G. Roberts The construction of next-generation matrices for compartmental epidemic models J. R. Soc. Interface 7 2010 873 885
    • (2010) J. R. Soc. Interface , vol.7 , pp. 873-885
    • Diekmann, O.1    Heesterbeek, J.A.P.2    Roberts, M.G.3
  • 10
    • 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
  • 11
    • 38049037455 scopus 로고    scopus 로고
    • Global stability of the endemic equilibrium of multigroup SIR epidemic models
    • H. Guo, M.Y. Li, and Z. Shuai Global stability of the endemic equilibrium of multigroup SIR epidemic models Can. Appl. Math. Q. 14 2006 259 284
    • (2006) Can. Appl. Math. Q. , vol.14 , pp. 259-284
    • Guo, H.1    Li, M.Y.2    Shuai, Z.3
  • 12
    • 70349388314 scopus 로고    scopus 로고
    • A graph-theoretic approach to the method of global Lyapunov functions
    • H. Guo, M.Y. Li, and Z. Shuai A graph-theoretic approach to the method of global Lyapunov functions Proc. Amer. Math. Soc. 136 2008 2793 2802
    • (2008) Proc. Amer. Math. Soc. , vol.136 , pp. 2793-2802
    • Guo, H.1    Li, M.Y.2    Shuai, Z.3
  • 13
    • 84873270608 scopus 로고    scopus 로고
    • Modeling the transmission dynamics of brucellosis in inner mongolia autonomous region, China
    • Q. Hou, X.D. Sun, J. Zhang, Y.J. Liu, Y.M. Wang, and Z. Jin Modeling the transmission dynamics of brucellosis in inner mongolia autonomous region, China Math. Biosci. 242 2013 51 58
    • (2013) Math. Biosci. , vol.242 , pp. 51-58
    • Hou, Q.1    Sun, X.D.2    Zhang, J.3    Liu, Y.J.4    Wang, Y.M.5    Jin, Z.6
  • 14
    • 33746594608 scopus 로고    scopus 로고
    • Lyapunov functions and global stability for SIR and SIRS epidemiological models with non-linear transmission
    • A. Korobeinikov Lyapunov functions and global stability for SIR and SIRS epidemiological models with non-linear transmission Bull. Math. Biol. 68 2006 615 626
    • (2006) Bull. Math. Biol. , vol.68 , pp. 615-626
    • Korobeinikov, A.1
  • 15
    • 25144476559 scopus 로고    scopus 로고
    • Non-linear incidence and stability of infectious disease models
    • A. Korobeinikov, and P.K. Maini Non-linear incidence and stability of infectious disease models Math. Med. Biol. 22 2005 113 128
    • (2005) Math. Med. Biol. , vol.22 , pp. 113-128
    • Korobeinikov, A.1    Maini, P.K.2
  • 17
    • 84899126159 scopus 로고    scopus 로고
    • Transmission dynamics of a multi-group brucellosis model with mixed cross infection in public farm
    • M.-T. Li, G.-Q. Sun, Y.-F. Wu, J. Zhang, and Z. Jin Transmission dynamics of a multi-group brucellosis model with mixed cross infection in public farm Appl. Math. Comput. 237 2014 582 594
    • (2014) Appl. Math. Comput. , vol.237 , pp. 582-594
    • Li, M.-T.1    Sun, G.-Q.2    Wu, Y.-F.3    Zhang, J.4    Jin, Z.5
  • 18
    • 79955524408 scopus 로고    scopus 로고
    • Global stability of an epidemic model with latent stage and vaccination
    • J. Li, Y. Yang, and Y. Zhou Global stability of an epidemic model with latent stage and vaccination Nonlinear Anal. Real World Appl. 12 2011 2163 2173
    • (2011) Nonlinear Anal. Real World Appl. , vol.12 , pp. 2163-2173
    • Li, J.1    Yang, Y.2    Zhou, Y.3
  • 22
    • 84899122512 scopus 로고    scopus 로고
    • The current research, prevention and control on brucellosis
    • H.L. Ren, and S.Y. Lu The current research, prevention and control on brucellosis Chin. Ani. Husband. Vet. Med. 36 2009 139 143
    • (2009) Chin. Ani. Husband. Vet. Med. , vol.36 , pp. 139-143
    • Ren, H.L.1    Lu, S.Y.2
  • 24
    • 0142216409 scopus 로고    scopus 로고
    • Modeling and analysis of the spread of carrier dependent infectious diseases with environmental effects
    • S. Singh, P. Chandra, and J.B. Shukla Modeling and analysis of the spread of carrier dependent infectious diseases with environmental effects J. Biol. Syst. 17 2003 325 335
    • (2003) J. Biol. Syst. , vol.17 , pp. 325-335
    • Singh, S.1    Chandra, P.2    Shukla, J.B.3
  • 26
    • 38049009460 scopus 로고    scopus 로고
    • Pattern formation in a spatial S-I model with non-linear incidence rates
    • G. Sun, Z. Jin, Q.-X. Liu, and L. Li Pattern formation in a spatial S-I model with non-linear incidence rates J. Stat. Mech. Theory Exp. 11 2007 P11011
    • (2007) J. Stat. Mech. Theory Exp. , vol.11 , pp. 11011
    • Sun, G.1    Jin, Z.2    Liu, Q.-X.3    Li, L.4
  • 27
    • 65249093105 scopus 로고    scopus 로고
    • Spatial pattern in an epidemic system with cross diffusion of the susceptible
    • G.Q. Sun, Z. Jin, Q.X. Liu, and L. Li Spatial pattern in an epidemic system with cross diffusion of the susceptible J. Biol. Syst. 17 2009 141 152
    • (2009) J. Biol. Syst. , vol.17 , pp. 141-152
    • Sun, G.Q.1    Jin, Z.2    Liu, Q.X.3    Li, L.4
  • 28
    • 79960834712 scopus 로고    scopus 로고
    • Global stability of multigroup epidemic model with group mixing and nonlinear incidence rates
    • R. Sun, and J. Shi Global stability of multigroup epidemic model with group mixing and nonlinear incidence rates Appl. Math. Comput. 218 2011 280 286
    • (2011) Appl. Math. Comput. , vol.218 , pp. 280-286
    • Sun, R.1    Shi, J.2
  • 29
    • 84907221866 scopus 로고    scopus 로고
    • Spatial epidemiology of networked metapopulation: An overview
    • in press
    • L. Wang, X. Li, Spatial epidemiology of networked metapopulation: an overview, Chin. Sci. Bull., in press.
    • Chin. Sci. Bull.
    • Wang, L.1    Li, X.2
  • 30
    • 84875770097 scopus 로고    scopus 로고
    • How human location-specific contact patterns impact spatial transmission between population?
    • L. Wang, Z. Wang, Yan Zhang, and X. Li How human location-specific contact patterns impact spatial transmission between population? Sci. Rep. 3 2013 1468
    • (2013) Sci. Rep. , vol.3 , pp. 1468
    • Wang, L.1    Wang, Z.2    Zhang, Y.3    Li, X.4
  • 31
    • 84878923408 scopus 로고    scopus 로고
    • The impact of human location-specific contact pattern on the SIR epidemic transmission between populations
    • L. Wang, Yan Zhang, Z. Wang, and X. Li The impact of human location-specific contact pattern on the SIR epidemic transmission between populations Int. J. Bifurcation Chaos 23 2013 1350095
    • (2013) Int. J. Bifurcation Chaos , vol.23 , pp. 1350095
    • Wang, L.1    Zhang, Y.2    Wang, Z.3    Li, X.4
  • 33
    • 84891330472 scopus 로고    scopus 로고
    • Impact of social punishment on cooperative behavior in complex networks
    • Z. Wang, C. Xia, S. Meloni, C. Zhou, and Y. Moreno Impact of social punishment on cooperative behavior in complex networks Sci. Rep. 3 2013 3055
    • (2013) Sci. Rep. , vol.3 , pp. 3055
    • Wang, Z.1    Xia, C.2    Meloni, S.3    Zhou, C.4    Moreno, Y.5
  • 34
    • 84894284000 scopus 로고    scopus 로고
    • Multiple effects of self-protection on the spreading of epidemics
    • Z. Wang, H. Zhang, and Z. Wang Multiple effects of self-protection on the spreading of epidemics Chaos Solitons Fract. 61 2014 1 7
    • (2014) Chaos Solitons Fract. , vol.61 , pp. 1-7
    • Wang, Z.1    Zhang, H.2    Wang, Z.3
  • 35
    • 84872960848 scopus 로고    scopus 로고
    • Effects of delayed recovery and nonuniform transmission on the spreading of diseases in complex networks
    • C.-Y. Xia, Z. Wang, J. Sanz, S. Meloni, and Y. Moreno Effects of delayed recovery and nonuniform transmission on the spreading of diseases in complex networks Physica A 392 2013 1577 1585
    • (2013) Physica A , vol.392 , pp. 1577-1585
    • Xia, C.-Y.1    Wang, Z.2    Sanz, J.3    Meloni, S.4    Moreno, Y.5
  • 36
    • 70449709108 scopus 로고    scopus 로고
    • Global stability of epidemiological models with group mixing and nonlinear incidence rates
    • Z. Yuan, and L. Wang Global stability of epidemiological models with group mixing and nonlinear incidence rates Nonlinear Anal. Real World Appl. 11 2010 995 1004
    • (2010) Nonlinear Anal. Real World Appl. , vol.11 , pp. 995-1004
    • Yuan, Z.1    Wang, L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.