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Volumn 62, Issue 4, 2011, Pages 543-568

A reaction-diffusion malaria model with incubation period in the vector population

Author keywords

Basic reproduction ratio; Global attractivity; Incubation period; Malaria transmission; Spatial heterogeneity; Threshold dynamics

Indexed keywords

ANIMAL; ANOPHELES; ARTICLE; BASIC REPRODUCTION NUMBER; BIOLOGICAL MODEL; DISEASE CARRIER; DISEASE TRANSMISSION; EPIDEMIC; FEMALE; HUMAN; MALARIA; PARASITOLOGY; PHYSIOLOGY; PLASMODIUM;

EID: 79952575808     PISSN: 03036812     EISSN: 14321416     Source Type: Journal    
DOI: 10.1007/s00285-010-0346-8     Document Type: Article
Times cited : (300)

References (33)
  • 2
    • 0025545718 scopus 로고
    • Spatial structures and periodic travelling waves in an integro-differential reaction-diffusion population model
    • Britton NF (1990) Spatial structures and periodic travelling waves in an integro-differential reaction-diffusion population model. SIAM J Appl Math 50: 1663-1688.
    • (1990) SIAM J Appl Math , vol.50 , pp. 1663-1688
    • Britton, N.F.1
  • 3
    • 21444451814 scopus 로고    scopus 로고
    • A mathematical model for assessing control strategies against West Nile virus
    • Bowman C, Gumel AB, van den Driessche P, Wu J, Zhu H (2005) A mathematical model for assessing control strategies against West Nile virus. Bull Math Biol 67: 1107-1133.
    • (2005) Bull Math Biol , vol.67 , pp. 1107-1133
    • Bowman, C.1    Gumel, A.B.2    van den Driessche, P.3    Wu, J.4    Zhu, H.5
  • 4
    • 33745137910 scopus 로고    scopus 로고
    • Survival and infection probabilities of anthropophagic anophelines from an area of high prevalence of Plasmodium falciparum in humans
    • Charlwood JD, Smith T, Billingsley PF, Takken W, Lyimo EOK, Meuwissen JHET (1997) Survival and infection probabilities of anthropophagic anophelines from an area of high prevalence of Plasmodium falciparum in humans. Bull Entomol Res 87: 445-453.
    • (1997) Bull Entomol Res , vol.87 , pp. 445-453
    • Charlwood, J.D.1    Smith, T.2    Billingsley, P.F.3    Takken, W.4    Lyimo, E.O.K.5    Meuwissen, J.H.E.T.6
  • 5
    • 0001309976 scopus 로고
    • The spectral approximation of linear operators with applications to the computation of eigenelements of differential and integral operators
    • Chatelin F (1981) The spectral approximation of linear operators with applications to the computation of eigenelements of differential and integral operators. SIAM Rev 23: 495-522.
    • (1981) SIAM Rev , vol.23 , pp. 495-522
    • Chatelin, F.1
  • 7
    • 0000655219 scopus 로고    scopus 로고
    • Global asymptotics in some quasimonotone reaction-diffusion systems with delays
    • Freedman HI, Zhao X-Q (1997) Global asymptotics in some quasimonotone reaction-diffusion systems with delays. J Differ Equ 137: 340-362.
    • (1997) J Differ Equ , vol.137 , pp. 340-362
    • Freedman, H.I.1    Zhao, X.-Q.2
  • 8
    • 33845515570 scopus 로고    scopus 로고
    • Delayed non-local diffusive systems in biological invasion and disease spread
    • American Mathematical Society, Providence
    • Gourley SA, Wu JH (2006) Delayed non-local diffusive systems in biological invasion and disease spread. In: Nonlinear dynamics and evolution equations, vol 48. American Mathematical Society, Providence, pp 137-200.
    • (2006) Nonlinear dynamics and evolution equations , vol.48 , pp. 137-200
    • Gourley, S.A.1    Wu, J.H.2
  • 10
    • 58149229430 scopus 로고    scopus 로고
    • An age-structured model to evaluate the potential of novel malaria-control interventions: a case study of fungal biopesticide sprays
    • Hancock PA, Thomas MB, Godfray HCJ (2009) An age-structured model to evaluate the potential of novel malaria-control interventions: a case study of fungal biopesticide sprays. Proc R Soc B 276: 71-80.
    • (2009) Proc R Soc B , vol.276 , pp. 71-80
    • Hancock, P.A.1    Thomas, M.B.2    Godfray, H.C.J.3
  • 12
    • 0034466401 scopus 로고    scopus 로고
    • A simplified model for predicting malaria entomologic inoculation rates based on entomologic and parasitologic parameters relevant to control
    • Killeen GF, McKenzie FE, Foy BD, Schieffelin C, Billingsley PF, Beier JC (2000) A simplified model for predicting malaria entomologic inoculation rates based on entomologic and parasitologic parameters relevant to control. Am J Trop Med Hyg 62: 535-544.
    • (2000) Am J Trop Med Hyg , vol.62 , pp. 535-544
    • Killeen, G.F.1    McKenzie, F.E.2    Foy, B.D.3    Schieffelin, C.4    Billingsley, P.F.5    Beier, J.C.6
  • 13
    • 0025753873 scopus 로고
    • On the use of mathematical models of malaria transmission
    • Koella JC (1991) On the use of mathematical models of malaria transmission. Acta Trop 49: 1-25.
    • (1991) Acta Trop , vol.49 , pp. 1-25
    • Koella, J.C.1
  • 14
    • 70350375276 scopus 로고    scopus 로고
    • Modeling spatial spread of infectious diseases with a fixed latent period in a spatially continuous domain
    • Li J, Zou X (2009) Modeling spatial spread of infectious diseases with a fixed latent period in a spatially continuous domain. Bull Math Biol 71: 2048-2079.
    • (2009) Bull Math Biol , vol.71 , pp. 2048-2079
    • Li, J.1    Zou, X.2
  • 17
    • 33144473617 scopus 로고    scopus 로고
    • Global attractors and steady states for uniformly persistent dynamical systems
    • Magal P, Zhao X-Q (2005) Global attractors and steady states for uniformly persistent dynamical systems. SIAM J Math Anal 37: 251-275.
    • (2005) SIAM J Math Anal , vol.37 , pp. 251-275
    • Magal, P.1    Zhao, X.-Q.2
  • 18
    • 84966246501 scopus 로고
    • Abstract functional differential equations and reaction-diffusion systems
    • Martin RH, Smith HL (1990) Abstract functional differential equations and reaction-diffusion systems. Trans Am Math Soc 321: 1-44.
    • (1990) Trans Am Math Soc , vol.321 , pp. 1-44
    • Martin, R.H.1    Smith, H.L.2
  • 21
    • 43349083360 scopus 로고    scopus 로고
    • On the delayed Ross-Macdonald model for malaria transmission
    • Ruan S, Xiao D, Beier JC (2008) On the delayed Ross-Macdonald model for malaria transmission. Bull Math Biol 70: 1098-1114.
    • (2008) Bull Math Biol , vol.70 , pp. 1098-1114
    • Ruan, S.1    Xiao, D.2    Beier, J.C.3
  • 22
    • 11144311617 scopus 로고    scopus 로고
    • The risk of a mosquito-borne infection in a heterogeneous environment
    • Smith DL, Dushoff J, McKenzie FE (2004) The risk of a mosquito-borne infection in a heterogeneous environment. PLoS Biol 2: 1957-1964.
    • (2004) PLoS Biol , vol.2 , pp. 1957-1964
    • Smith, D.L.1    Dushoff, J.2    McKenzie, F.E.3
  • 23
    • 0003270907 scopus 로고
    • Monotone dynamical systems: an introduction to the theory of competitive and cooperative systems
    • Surveys and Monographs
    • Smith HL (1995) Monotone dynamical systems: an introduction to the theory of competitive and cooperative systems. Amer. Math. Soc. Math. Surveys and Monographs, vol 41.
    • (1995) Amer. Math. Soc. Math , vol.41
    • Smith, H.L.1
  • 24
    • 0035415180 scopus 로고    scopus 로고
    • Robust persistence for semidynamical systems
    • Smith HL, Zhao X-Q (2001) Robust persistence for semidynamical systems. Nonlinear Anal 47: 6169-6179.
    • (2001) Nonlinear Anal , vol.47 , pp. 6169-6179
    • Smith, H.L.1    Zhao, X.-Q.2
  • 25
    • 15044338866 scopus 로고    scopus 로고
    • The global distribution of clinical episodes of Plasmodium falciparum malaria
    • Snow RW, Guerra CA, Noor AM, Myint HY, Hay SI (2005) The global distribution of clinical episodes of Plasmodium falciparum malaria. Nature 437: 214-217.
    • (2005) Nature , vol.437 , pp. 214-217
    • Snow, R.W.1    Guerra, C.A.2    Noor, A.M.3    Myint, H.Y.4    Hay, S.I.5
  • 27
    • 77952672921 scopus 로고
    • Convergence results and a Poincare-Bendixson trichotomy for asymptotically autonomous differential equations
    • Thieme HR (1992) Convergence results and a Poincare-Bendixson trichotomy for asymptotically autonomous differential equations. J Math Biol 30: 755-763.
    • (1992) J Math Biol , vol.30 , pp. 755-763
    • Thieme, H.R.1
  • 28
    • 67649378819 scopus 로고    scopus 로고
    • Spectral bound and reproduction number for infinite-dimensional population structure and time heterogeneity
    • Thieme HR (2009) Spectral bound and reproduction number for infinite-dimensional population structure and time heterogeneity. SIAM J Appl Math 70: 188-211.
    • (2009) SIAM J Appl Math , vol.70 , pp. 188-211
    • Thieme, H.R.1
  • 29
    • 0035373461 scopus 로고    scopus 로고
    • A non-local delayed and diffusive predator-prey model
    • Thieme HR, Zhao X-Q (2001) A non-local delayed and diffusive predator-prey model. Nonlinear Anal RWA 2: 145-160.
    • (2001) Nonlinear Anal RWA , vol.2 , pp. 145-160
    • Thieme, H.R.1    Zhao, X.-Q.2
  • 31
    • 33646846267 scopus 로고    scopus 로고
    • Transmission assumptions generate conflicting predictions in host-vector disease models: a case study in West Nile virus
    • Wonham MJ, Lewis MA, Renclawowicz J, van den Driessche P (2006) Transmission assumptions generate conflicting predictions in host-vector disease models: a case study in West Nile virus. Ecol Lett 9: 706-725.
    • (2006) Ecol Lett , vol.9 , pp. 706-725
    • Wonham, M.J.1    Lewis, M.A.2    Renclawowicz, J.3    van den Driessche, P.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.