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Volumn 246, Issue 1, 2013, Pages 105-112

A cholera model in a patchy environment with water and human movement

Author keywords

Cholera; Control strategy; Global stability; Human movement; Patch model; Water movement

Indexed keywords

CHOLERA; CONTROL STRATEGIES; GLOBAL STABILITY; HUMAN MOVEMENTS; PATCH MODELS; WATER MOVEMENTS;

EID: 84887017004     PISSN: 00255564     EISSN: 18793134     Source Type: Journal    
DOI: 10.1016/j.mbs.2013.08.003     Document Type: Article
Times cited : (99)

References (36)
  • 1
    • 35348983980 scopus 로고    scopus 로고
    • Asymptotic profiles of the steady states for an SIS epidemic patch model
    • Allen L.S.J., Bolker B.M., Lou Y., Nevai A. Asymptotic profiles of the steady states for an SIS epidemic patch model. SIAM J. Appl. Math. 2007, 67:1283.
    • (2007) SIAM J. Appl. Math. , vol.67 , pp. 1283
    • Allen, L.S.J.1    Bolker, B.M.2    Lou, Y.3    Nevai, A.4
  • 2
    • 34248647800 scopus 로고    scopus 로고
    • Disease spread in metapopulations
    • American Mathematical Society, Providence, H. Brunner, X.-Q. Zhao, X. Zou (Eds.) Nonlinear Dynamics and Evolution Equations
    • Arino J., van den Driessche P. Disease spread in metapopulations. Fields Institute Communications 2006, vol. 48:1. American Mathematical Society, Providence. H. Brunner, X.-Q. Zhao, X. Zou (Eds.).
    • (2006) Fields Institute Communications , vol.48 , pp. 1
    • Arino, J.1    van den Driessche, P.2
  • 3
    • 2342570969 scopus 로고    scopus 로고
    • Microbial contamination of drinking water and disease outcomes in developing regions
    • Ashbolt N. Microbial contamination of drinking water and disease outcomes in developing regions. Toxicology 2004, 198:229.
    • (2004) Toxicology , vol.198 , pp. 229
    • Ashbolt, N.1
  • 8
    • 0037520454 scopus 로고
    • Dynamical Systems: Stability Theory and Applications
    • Springer, Berlin
    • Bhatia N.P., Szegö G.P. Dynamical Systems: Stability Theory and Applications. Lecture Notes in Mathematics 1967, vol. 35. Springer, Berlin.
    • (1967) Lecture Notes in Mathematics , vol.35
    • Bhatia, N.P.1    Szegö, G.P.2
  • 9
  • 10
    • 79955559401 scopus 로고    scopus 로고
    • Vaccination strategies for epidemic cholera in Haiti with implications for the developing world
    • Chao D.L., Halloran M.E., Longini I.M. Vaccination strategies for epidemic cholera in Haiti with implications for the developing world. Proc. Natl. Acad. Sci. USA 2011, 108:7081.
    • (2011) Proc. Natl. Acad. Sci. USA , vol.108 , pp. 7081
    • Chao, D.L.1    Halloran, M.E.2    Longini, I.M.3
  • 11
    • 2942619997 scopus 로고    scopus 로고
    • Endemic and epidemic dynamics of cholera: the role of the aquatic reservoir
    • Codeço C.T. Endemic and epidemic dynamics of cholera: the role of the aquatic reservoir. BMC Infect. Dis. 2001, 1:1.
    • (2001) BMC Infect. Dis. , vol.1 , pp. 1
    • Codeço, C.T.1
  • 12
    • 79959869182 scopus 로고    scopus 로고
    • Implications of the introduction of cholera to Haiti
    • Dowell S.F., Braden C.R. Implications of the introduction of cholera to Haiti. Emerg. Infect. Dis. 2011, 17:1299.
    • (2011) Emerg. Infect. Dis. , vol.17 , pp. 1299
    • Dowell, S.F.1    Braden, C.R.2
  • 13
    • 84875251690 scopus 로고    scopus 로고
    • Identifiability and estimation of multiple transmission pathways in cholera and waterborne disease
    • Eisenberg M.C., Robertson S.L., Tien J.H. Identifiability and estimation of multiple transmission pathways in cholera and waterborne disease. J. Theor. Biol. 2013, 324:84.
    • (2013) J. Theor. Biol. , vol.324 , pp. 84
    • Eisenberg, M.C.1    Robertson, S.L.2    Tien, J.H.3
  • 14
    • 0000361466 scopus 로고
    • Uniform persistence and flows near a closed positively invariant set
    • Freedman H.I., Ruan S., Tang M. Uniform persistence and flows near a closed positively invariant set. J. Dyn. Differ. Equ. 1994, 6:583.
    • (1994) J. Dyn. Differ. Equ. , vol.6 , pp. 583
    • Freedman, H.I.1    Ruan, S.2    Tang, M.3
  • 15
    • 38049037455 scopus 로고    scopus 로고
    • Global stability of the endemic equilibrium of multigroup SIR epidemic models
    • Guo H., Li M.Y., Shuai Z. Global stability of the endemic equilibrium of multigroup SIR epidemic models. Can. Appl. Math. Q. 2006, 14:259.
    • (2006) Can. Appl. Math. Q. , vol.14 , pp. 259
    • Guo, H.1    Li, M.Y.2    Shuai, Z.3
  • 16
    • 70349388314 scopus 로고    scopus 로고
    • A graph-theoretic approach to the method of global Lyapunov functions
    • Guo H., Li M.Y., Shuai Z. A graph-theoretic approach to the method of global Lyapunov functions. Proc. Am. Math. Soc. 2008, 136:2793.
    • (2008) Proc. Am. Math. Soc. , vol.136 , pp. 2793
    • Guo, H.1    Li, M.Y.2    Shuai, Z.3
  • 17
    • 32044434020 scopus 로고    scopus 로고
    • Hyperinfectivity: a critical element in the ability of V. cholerae to cause epidemics?
    • Hartley D.M., Morris J.G., Smith D.L. Hyperinfectivity: a critical element in the ability of V. cholerae to cause epidemics?. PLOS Med. 2006, 3:63.
    • (2006) PLOS Med. , vol.3 , pp. 63
    • Hartley, D.M.1    Morris, J.G.2    Smith, D.L.3
  • 18
    • 33847405628 scopus 로고    scopus 로고
    • The type-reproduction number T in models for infectious disease control
    • Heesterbeek J.A.P., Roberts M.G. The type-reproduction number T in models for infectious disease control. Math. Biosci. 2007, 206:3.
    • (2007) Math. Biosci. , vol.206 , pp. 3
    • Heesterbeek, J.A.P.1    Roberts, M.G.2
  • 19
    • 34248661261 scopus 로고    scopus 로고
    • Impact of travel between patches for spatial spread of disease
    • Hsieh Y.-H., van den Driessche P., Wang L. Impact of travel between patches for spatial spread of disease. Bull. Math. Biol. 2007, 69:1355.
    • (2007) Bull. Math. Biol. , vol.69 , pp. 1355
    • Hsieh, Y.-H.1    van den Driessche, P.2    Wang, L.3
  • 21
    • 0032812296 scopus 로고    scopus 로고
    • Global dynamics of a SEIR model with varying total population size
    • Li M.Y., Graef J.R., Wang L., Karsai J. Global dynamics of a SEIR model with varying total population size. Math. Biosci. 1999, 160:191.
    • (1999) Math. Biosci. , vol.160 , pp. 191
    • Li, M.Y.1    Graef, J.R.2    Wang, L.3    Karsai, J.4
  • 22
    • 70349785039 scopus 로고    scopus 로고
    • Global-stability problems for coupled systems of differential equations on networks
    • Li M.Y., Shuai Z. Global-stability problems for coupled systems of differential equations on networks. J. Differ. Equ. 2010, 248:1.
    • (2010) J. Differ. Equ. , vol.248 , pp. 1
    • Li, M.Y.1    Shuai, Z.2
  • 24
    • 0003364129 scopus 로고
    • Counting labelled trees, Canadian Mathematical Congress
    • J.W. Moon, Counting labelled trees, Canadian Mathematical Congress, Montreal, 1970.
    • (1970) Montreal
    • Moon, J.W.1
  • 27
    • 0037963623 scopus 로고    scopus 로고
    • A new method for estimating the effort required to control an infectious diseases
    • Roberts M.G., Heesterbeek J.A.P. A new method for estimating the effort required to control an infectious diseases. Proc. R. Soc. Lond. B 2003, 270:1359.
    • (2003) Proc. R. Soc. Lond. B , vol.270 , pp. 1359
    • Roberts, M.G.1    Heesterbeek, J.A.P.2
  • 29
    • 82255182992 scopus 로고    scopus 로고
    • Global dynamics of cholera models with differential infectivity
    • Shuai Z., van den Driessche P. Global dynamics of cholera models with differential infectivity. Math. Biosci. 2011, 234:118.
    • (2011) Math. Biosci. , vol.234 , pp. 118
    • Shuai, Z.1    van den Driessche, P.2
  • 30
    • 84885385423 scopus 로고    scopus 로고
    • Extending the type reproduction number to infectious disease control targeting contacts between types
    • doi: (in press).
    • Z. Shuai, J.A.P. Heesterbeek, P. van den Driessche, Extending the type reproduction number to infectious disease control targeting contacts between types, J. Math. Biol., doi: (in press). doi:10.1007/s00285-012-0579-9.
    • J. Math. Biol.
    • Shuai, Z.1    Heesterbeek, J.A.P.2    van den Driessche, P.3
  • 32
    • 77955172112 scopus 로고    scopus 로고
    • Multiple transmission pathways and disease dynamics in a waterborne pathogen model
    • Tien J.H., Earn D.J.D. Multiple transmission pathways and disease dynamics in a waterborne pathogen model. Bull. Math. Biol. 2010, 72:1506.
    • (2010) Bull. Math. Biol. , vol.72 , pp. 1506
    • Tien, J.H.1    Earn, D.J.D.2
  • 33
    • 79955765273 scopus 로고    scopus 로고
    • Cholera epidemic in Haiti, 2010: using a transmission model to explain spatial spread of disease and identify optimal control interventions
    • Tuite A.R., Tien J., Eisenberg M., Earn D.J.D., Ma J., Fisman D.N. Cholera epidemic in Haiti, 2010: using a transmission model to explain spatial spread of disease and identify optimal control interventions. Ann. Internal Med. 2011, 154:593.
    • (2011) Ann. Internal Med. , vol.154 , pp. 593
    • Tuite, A.R.1    Tien, J.2    Eisenberg, M.3    Earn, D.J.D.4    Ma, J.5    Fisman, D.N.6
  • 34
    • 0036845274 scopus 로고    scopus 로고
    • Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
    • van den Driessche P., Watmough J. Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission. Math. Biosci. 2002, 180:29.
    • (2002) Math. Biosci. , vol.180 , pp. 29
    • van den Driessche, P.1    Watmough, J.2
  • 35
    • 2942685809 scopus 로고    scopus 로고
    • Population dispersal and disease spread
    • Wang W. Population dispersal and disease spread. Discrete Contin. Dyn. Syst. Ser. B 2004, 4:797.
    • (2004) Discrete Contin. Dyn. Syst. Ser. B , vol.4 , pp. 797
    • Wang, W.1
  • 36
    • 49849090449 scopus 로고    scopus 로고
    • Epidemic models with population dispersal
    • Springer, Berlin, Y. Takeuchi, Y. Iwasa, K. Sato (Eds.)
    • Wang W. Epidemic models with population dispersal. Mathemaitcs for Life Sciences and Medicine 2007, 67. Springer, Berlin. Y. Takeuchi, Y. Iwasa, K. Sato (Eds.).
    • (2007) Mathemaitcs for Life Sciences and Medicine , pp. 67
    • Wang, W.1


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