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Volumn 5, Issue 4, 2008, Pages 789-801

A malaria model with partial immunity in Humans

Author keywords

Compartmental models; Endemic equilibrium; Malaria; Reproductive number

Indexed keywords

ANIMAL; ARTICLE; DISEASE CARRIER; DISEASE TRANSMISSION; HUMAN; IMMUNITY; IMMUNOLOGY; INCUBATION TIME; MALARIA; MOSQUITO; PARASITOLOGY; STATISTICAL MODEL;

EID: 58849150466     PISSN: 15471063     EISSN: 15510018     Source Type: Journal    
DOI: 10.3934/mbe.2008.5.789     Document Type: Article
Times cited : (31)

References (25)
  • 2
    • 0023785350 scopus 로고
    • Mathematical modeling of immunity to malaria
    • J. L. Aron, Mathematical modeling of immunity to malaria, Math.Biosci., 90 (1988), 385-396.
    • (1988) Math.Biosci , vol.90 , pp. 385-396
    • Aron, J.L.1
  • 3
    • 58849158687 scopus 로고    scopus 로고
    • T. Bradley, Malaria and drug resistance, MBChB Special Study Module Project Report, Department of Microbiology and Immunology, University of Leicester, 1996. http://www-micro.msb.le.ac.uk/224/Bradley/Bradley.html.
    • T. Bradley, Malaria and drug resistance, MBChB Special Study Module Project Report, Department of Microbiology and Immunology, University of Leicester, 1996. http://www-micro.msb.le.ac.uk/224/Bradley/Bradley.html.
  • 4
    • 42249097285 scopus 로고    scopus 로고
    • Compartmental Models in Epidemiology
    • F. Brauer, P. van den Driessche, and Jianhong Wu, eds, Springer, new York, pp
    • F. Brauer, Compartmental Models in Epidemiology, in: Mathematical Epidemiology, (F. Brauer, P. van den Driessche, and Jianhong Wu, eds.), 2008, Springer, new York, pp. 19-80.
    • (2008) Mathematical Epidemiology , pp. 19-80
    • Brauer, F.1
  • 5
    • 58849157649 scopus 로고    scopus 로고
    • CDC, http://www.cdc.gov/malaria/facts.htm#WorldMalaria, 2008
    • CDC, http://www.cdc.gov/malaria/facts.htm#WorldMalaria, 2008
  • 6
    • 0002772161 scopus 로고
    • Mathematical models for transmission and control of malaria
    • W. H. Wernsdorfer and Sir I. McGregor, eds, Churchill Livingstoc, Edinburgh, pp
    • K. Dietz, Mathematical models for transmission and control of malaria, in: Malaria: Principles and Practice of Malariology, Vol. II. (W. H. Wernsdorfer and Sir I. McGregor, eds), 1988, Churchill Livingstoc, Edinburgh, pp. 1091-1133.
    • (1988) Malaria: Principles and Practice of Malariology , vol.2 , pp. 1091-1133
    • Dietz, K.1
  • 7
    • 0016313473 scopus 로고
    • A malaria model tested in the African savannah
    • K. Dietz, L. Molineaux, and A. Thomas, A malaria model tested in the African savannah, Bull. World Health Org., 50 (1974), 347-357.
    • (1974) Bull. World Health Org , vol.50 , pp. 347-357
    • Dietz, K.1    Molineaux, L.2    Thomas, A.3
  • 8
    • 0027688672 scopus 로고
    • Dynamics life table model for Aedes aegypti (L.) (Diptera: Culicidae)
    • D. A. Focks, D. G. Haile, E. Daniels, and G. A. Mount, Dynamics life table model for Aedes aegypti (L.) (Diptera: Culicidae), J. Med. Entomol., 30 (1993), 1003-1017.
    • (1993) J. Med. Entomol , vol.30 , pp. 1003-1017
    • Focks, D.A.1    Haile, D.G.2    Daniels, E.3    Mount, G.A.4
  • 9
    • 0033073528 scopus 로고    scopus 로고
    • The differential infectivity and staged progression models for the transmission of HIV
    • J. M. Hyman, Jia Li, and E. A. Stanley, The differential infectivity and staged progression models for the transmission of HIV, Math. Biosci., 155 (1999), 77-109.
    • (1999) Math. Biosci , vol.155 , pp. 77-109
    • Hyman, J.M.1    Li, J.2    Stanley, E.A.3
  • 11
    • 0027452018 scopus 로고
    • An epidemiological model for HIV/AIDS with proportional recruitment
    • Xiaodong Lin, H. W. Hethcotc, and P. Van den Driessche, An epidemiological model for HIV/AIDS with proportional recruitment, Math. Biosc., 118 (1993), 181-195.
    • (1993) Math. Biosc , vol.118 , pp. 181-195
    • Xiaodong Lin, H.1    Hethcotc, W.2    Van den Driessche, P.3
  • 13
    • 0022315247 scopus 로고
    • The pros and cons of modeling malaria transmission
    • L. Molincaux, The pros and cons of modeling malaria transmission, Trans. R. Soc. Trop. Med. Hyg., 79 (1985), 743-747.
    • (1985) Trans. R. Soc. Trop. Med. Hyg , vol.79 , pp. 743-747
    • Molincaux, L.1
  • 14
    • 0033752986 scopus 로고    scopus 로고
    • A mathematical model for endemic malaria with variable human and mosquito populations
    • G. A. Ngwa and W. S. Shu, A mathematical model for endemic malaria with variable human and mosquito populations, Math. Comp. Modelling, 32 (2000), 747-763.
    • (2000) Math. Comp. Modelling , vol.32 , pp. 747-763
    • Ngwa, G.A.1    Shu, W.S.2
  • 15
    • 4944266469 scopus 로고    scopus 로고
    • Modeling the dynamics of endemic malaria in growing population
    • G. A. Ngwa, Modeling the dynamics of endemic malaria in growing population, Discrete Continuous Dyn. Syst. Ser. B, 4 (2004), 1173-1202.
    • (2004) Discrete Continuous Dyn. Syst. Ser. B , vol.4 , pp. 1173-1202
    • Ngwa, G.A.1
  • 16
    • 33750715725 scopus 로고    scopus 로고
    • On the population dynamics of the malaria vector
    • G. A. Ngwa, On the population dynamics of the malaria vector, Bull Math Biol., 68 (2006), 2161-2189.
    • (2006) Bull Math Biol , vol.68 , pp. 2161-2189
    • Ngwa, G.A.1
  • 17
    • 58849133684 scopus 로고    scopus 로고
    • NIAID, Malaria, http://www3.niaid.nih.gov/topics/Malaria, 2008.
    • (2008) Malaria
  • 18
    • 0016118631 scopus 로고
    • A Survey on M-matrices
    • G. Poole and T. Boullion, A Survey on M-matrices, SIAM Review, 16 (1974), 419-427.
    • (1974) SIAM Review , vol.16 , pp. 419-427
    • Poole, G.1    Boullion, T.2
  • 20
    • 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
  • 21
    • 0014079119 scopus 로고
    • Malaria im mittleren Nilbecken und dessen Randgebieten
    • G. Wernsdorfer and W. H. Wernsdorfer, Malaria im mittleren Nilbecken und dessen Randgebieten, Z. Tropenmed. Parasitol., 18 (1967), 17-44.
    • (1967) Z. Tropenmed. Parasitol , vol.18 , pp. 17-44
    • Wernsdorfer, G.1    Wernsdorfer, W.H.2
  • 22
    • 58849128161 scopus 로고    scopus 로고
    • W. H. Wernsdorfer, The importance of malaria in the world, in: Malaria, 1, Epidemology, Chemotherapy, Morphology, and Metabolism, Kreier, J. P. (ed.), Academic Press, New York, 1980.
    • W. H. Wernsdorfer, The importance of malaria in the world, in: Malaria, Vol. 1, Epidemology, Chemotherapy, Morphology, and Metabolism, Kreier, J. P. (ed.), Academic Press, New York, 1980.
  • 23
    • 58849131840 scopus 로고    scopus 로고
    • WHO, Malaria, Fact sheets, http://www.who.int/inf-fs/en/fact094.html, 2007.
    • (2007) Malaria, Fact sheets
  • 24
    • 0034201149 scopus 로고    scopus 로고
    • Malaria transmission model for different levels of acquired immunity and temperature-dependent parameters (vector)
    • H. M. Yang, Malaria transmission model for different levels of acquired immunity and temperature-dependent parameters (vector), Rev Saude Publica, 34 (2000) 223-231.
    • (2000) Rev Saude Publica , vol.34 , pp. 223-231
    • Yang, H.M.1
  • 25
    • 0034203932 scopus 로고    scopus 로고
    • Assessing the effects of global warming and local social economic conditions on the malaria transmission
    • H. M. Yang and M. U. Ferreira, Assessing the effects of global warming and local social economic conditions on the malaria transmission, Rev Saude Publica, 34 (2000) 214-222.
    • (2000) Rev Saude Publica , vol.34 , pp. 214-222
    • Yang, H.M.1    Ferreira, M.U.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.