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Volumn 9, Issue 10, 2014, Pages

Stability, bifurcation and chaos analysis of vector-borne disease model with application to rift valley fever

Author keywords

[No Author keywords available]

Indexed keywords

AEDES; ARTICLE; BIRTH RATE; CULEX; EGG LAYING; EPIDEMIC; MATHEMATICAL MODEL; QUALITATIVE ANALYSIS; RIFT VALLEY FEVER; SEASONAL VARIATION; SPECIES COMPARISON; VIRUS CARRIER; VIRUS TRANSMISSION; ALGORITHM; HUMAN; RIFT VALLEY FEVER VIRUS; THEORETICAL MODEL;

EID: 84907484766     PISSN: None     EISSN: 19326203     Source Type: Journal    
DOI: 10.1371/journal.pone.0108172     Document Type: Article
Times cited : (22)

References (52)
  • 1
    • 0002472297 scopus 로고
    • Rift valley fever
    • Monath TP, ed. Boca Raton, FL: CRC Press Inc.
    • Megan JM, Bailey C.L. (1989) Rift Valley fever. Monath TP, ed. The Arboviruses: Epidemiology and Ecology. Volume IV. Boca Raton, FL: CRC Press Inc., pp. 51-76.
    • (1989) The Arboviruses: Epidemiology and Ecology , vol.4 , pp. 51-76
    • Megan, J.M.1    Bailey, C.L.2
  • 2
    • 0033575369 scopus 로고    scopus 로고
    • Climate and satellite indicators to forecast rift valley fever epidemics in Kenya
    • Linthicum KJ, Anyamba A, Tucker C.J., Kelley P.W. (1999) Climate and satellite indicators to forecast Rift Valley fever epidemics in Kenya. Science: 285, pp. 397-400.
    • (1999) Science , vol.285 , pp. 397-400
    • Linthicum, K.J.1    Anyamba, A.2    Tucker, C.J.3    Kelley, P.W.4
  • 3
    • 0022261874 scopus 로고
    • Rift valley fever virus (family bunyaviridae, genus phlebovirus) isolations from diptera collected during an interepizootic period in Kenya
    • Linthicum KJ, Davies FG, Kairo A, Bailey C.L. (1985) Rift Valley fever virus (family Bunyaviridae, genus Phlebovirus) isolations from Diptera collected during an interepizootic period in Kenya. J Hyg (Camb): 95, pp. 197-209.
    • (1985) J Hyg (Camb) , vol.95 , pp. 197-209
    • Linthicum, K.J.1    Davies, F.G.2    Kairo, A.3    Bailey, C.L.4
  • 4
    • 0026127336 scopus 로고
    • Isolation of rift valley fever virus from mosquitoes collected during an outbreak in domestic animals in Kenya
    • Logan TM, Linthicum KJ, Ksiazek T.G., (1992) Isolation of Rift Valley fever virus from mosquitoes collected during an outbreak in domestic animals in Kenya. J Med Entomol 28: pp. 293-295.
    • (1992) J Med Entomol , vol.28 , pp. 293-295
    • Logan, T.M.1    Linthicum, K.J.2    Ksiazek, T.G.3
  • 5
    • 25444451048 scopus 로고    scopus 로고
    • Aspects of bioecology of two rift valley fever virus vectors in Senegal (West africa): Aedes vexans and culex poicilipes (Diptera: Culicidae)
    • Ba Y, Diallo D, Kebe CMF, Dia I, and Diallo M (2005) Aspects of bioecology of two Rift Valley fever virus vectors in Senegal (West Africa): Aedes vexans and Culex poicilipes (Diptera: Culicidae). J. Med. Entomol. 42(5): pp. 739-750.
    • (2005) J. Med. Entomol. , vol.42 , Issue.5 , pp. 739-750
    • Ba, Y.1    Diallo, D.2    Kebe, C.M.F.3    Dia, I.4    Diallo, M.5
  • 6
    • 77957852165 scopus 로고    scopus 로고
    • Rift valley fever virus (Bunyaviridae: Phlebovirus): An update on pathogenesis, molecular epidemiology, vectors, diagnostics and prevention
    • Pépin M, Bouloy M, Bird B.H., Kemp A., and Paweska J (2010) Rift Valley fever virus (Bunyaviridae: Phlebovirus): An update on pathogenesis, molecular epidemiology, vectors, diagnostics and prevention. Vet. Res. 41: p. 61.
    • (2010) Vet. Res. , vol.41 , pp. 61
    • Pépin, M.1    Bouloy, M.2    Bird, B.H.3    Kemp, A.4    Paweska, J.5
  • 7
    • 77955647894 scopus 로고    scopus 로고
    • Rift valley fever virus epidemic in Kenya, 2006/2007: The entomologic investigations
    • Sang R, Kioko E, Lutomiah J., Warigia M, Ochieng C, (2010) Rift Valley Fever Virus Epidemic in Kenya, 2006/2007: The Entomologic Investigations. Am. J. Trop. Med. Hyg., 83(Suppl 2): pp. 28-37.
    • (2010) Am. J. Trop. Med. Hyg. , vol.83 , pp. 28-37
    • Sang, R.1    Kioko, E.2    Lutomiah, J.3    Warigia, M.4    Ochieng, C.5
  • 9
    • 84875813870 scopus 로고    scopus 로고
    • Modelling vertical transmission in vector-borne diseases with applications to rift valley fever
    • 1-4
    • Chitnis N, Hyman JM, Manore C.A. (2013) Modelling vertical transmission in vector-borne diseases with applications to Rift Valley fever. J. of Biological Dynamics, 7: 11-40, pp. 1-4.
    • (2013) J. of Biological Dynamics , vol.7 , pp. 11-40
    • Chitnis, N.1    Hyman, J.M.2    Manore, C.A.3
  • 10
    • 84883358781 scopus 로고    scopus 로고
    • Inter-epidemic transmission of rift valley fever in livestock in the kilombero river valley, Tanzania: A cross-sectional survey
    • Sumaye RD, Geubbels E, Mbeyela E., Berkvens D. (2013) Inter-epidemic Transmission of Rift Valley Fever in Livestock in the Kilombero River Valley, Tanzania: A Cross-Sectional Survey. PLoS Negl Trop Dis 7(8): e2356, doi:10.1371/journal.pntd.0002356.
    • (2013) PLoS Negl Trop Dis , vol.7 , Issue.8 , pp. e2356
    • Sumaye, R.D.1    Geubbels, E.2    Mbeyela, E.3    Berkvens, D.4
  • 11
    • 0035958646 scopus 로고    scopus 로고
    • Noisy clockwork time series analysis of population fluctuations in animals
    • Bjornstad ON, Grenfell B.T. (2001) Noisy clockwork Time series analysis of population fluctuations in animals. Science 293: pp 638-643.
    • (2001) Science , vol.293 , pp. 638-643
    • Bjornstad, O.N.1    Grenfell, B.T.2
  • 12
    • 34548415328 scopus 로고    scopus 로고
    • An epidemiological model of rift valley fever. Electron
    • Gaff HD, Hartley DM, Leahy N.P. (2007) An epidemiological model of Rift Valley fever. Electron. J. Differ. Equ. (115): pp. 1-12.
    • (2007) J. Differ. Equ. , Issue.115 , pp. 1-12
    • Gaff, H.D.1    Hartley, D.M.2    Leahy, N.P.3
  • 13
    • 40949091487 scopus 로고    scopus 로고
    • Evaluation of pathways for release of rift valley fever virus into domestic ruminant livestock, ruminant wildlife, and human populations in the continental united States
    • Kasari TR, Carr DA, Lynn T.V., Weaver J.T. (2008) Evaluation of pathways for release of Rift Valley fever virus into domestic ruminant livestock, ruminant wildlife, and human populations in the continental United States. J. Am. Vet. Med. Assoc. 232(4): pp. 514-529.
    • (2008) J. Am. Vet. Med. Assoc. , vol.232 , Issue.4 , pp. 514-529
    • Kasari, T.R.1    Carr, D.A.2    Lynn, T.V.3    Weaver, J.T.4
  • 14
    • 84893123237 scopus 로고    scopus 로고
    • Rift valley fever virus-infected mosquito ova and associated pathology: Possible implications for endemic maintenance
    • Romoser WS, Oviedo MN, Lerdthusnee K, Patrican L.A., Turell MJ, et a.l. (2011) Rift Valley fever virus-infected mosquito ova and associated pathology: Possible implications for endemic maintenance. Res. Rep. Trop. Med. 2: pp. 121-127.
    • (2011) Res. Rep. Trop. Med. , vol.2 , pp. 121-127
    • Romoser, W.S.1    Oviedo, M.N.2    Lerdthusnee, K.3    Patrican, L.A.4    Turell, M.J.5
  • 15
    • 38949091375 scopus 로고    scopus 로고
    • Vector competence of selected african mosquito (diptera: Culicidae) species for rift valley fever virus
    • Turell MJ, Linthicum KJ, Patrican L.A., Davies FG, Kairo A, et a.l. (2008) Vector competence of selected African mosquito (diptera: Culicidae) species for Rift Valley fever virus. J. Med. Entomol. 45(1): pp. 102-108.
    • (2008) J. Med. Entomol. , vol.45 , Issue.1 , pp. 102-108
    • Turell, M.J.1    Linthicum, K.J.2    Patrican, L.A.3    Davies, F.G.4    Kairo, A.5
  • 17
    • 79960887665 scopus 로고    scopus 로고
    • Mathematical model to assess the relativebility of transmission of infection from an infectious mosquito to a susceptible & host given that a effectiveness of rift valley fever countermeasures
    • Gaff H, Burgess C, Jackson J., Niu T, Papelis Y, et a.l. (2011) Mathematical model to assess the relativebility of transmission of infection from an infectious mosquito to a susceptible & host given that a effectiveness of Rift Valley fever countermeasures. Int. J. Artif. Life Res. 2(2): pp. 1-18.
    • (2011) Int. J. Artif. Life Res. , vol.2 , Issue.2 , pp. 1-18
    • Gaff, H.1    Burgess, C.2    Jackson, J.3    Niu, T.4    Papelis, Y.5
  • 18
    • 80855143679 scopus 로고    scopus 로고
    • A mathematical model of rift valley fever with human host
    • Mpeshe SC, Haario H, Tchuenche J.M. (2011) A mathematical model of Rift Valley fever with human host. Acta Biotheor. 59(3-4): pp. 231-250.
    • (2011) Acta Biotheor , vol.59 , Issue.3-4 , pp. 231-250
    • Mpeshe, S.C.1    Haario, H.2    Tchuenche, J.M.3
  • 19
    • 0042826743 scopus 로고
    • Hatchability of eggs of aedes taeniorhynchus(Diptera: Culicidae): Effects of different temperatures and photoperiods during embryogenesis
    • Parker MB (1986) Hatchability of eggs of Aedes taeniorhynchus(Diptera: Culicidae): effects of different temperatures and photoperiods during embryogenesis. Ann Entomol Soc Am 79: 925-930.
    • (1986) Ann Entomol Soc Am , vol.79 , pp. 925-930
    • Parker, M.B.1
  • 20
    • 0025482409 scopus 로고
    • Temperature-dependent development and survival rates of culex quinquefasciatus and aedes Aegypti(Diptera: Culicidae)
    • Rueda LM, Patel KJ, Axtell R.C., Stinner R.E. (1990) Temperature-dependent development and survival rates of Culex quinquefasciatus and Aedes aegypti(Diptera: Culicidae). J Med Entomol 27: 892-898.
    • (1990) J Med Entomol , vol.27 , pp. 892-898
    • Rueda, L.M.1    Patel, K.J.2    Axtell, R.C.3    Stinner, R.E.4
  • 23
    • 33646760316 scopus 로고    scopus 로고
    • Bloom dynamics in seasonally forced phytoplankton-zooplankton model: Trigger mechanism and timing effects
    • Freud JA, Mieruch S, Scholze B., Wiltshire R, Freudel U. (2006) Bloom dynamics in seasonally forced Phytoplankton-Zooplankton model: Trigger mechanism and timing effects. Ecol. Compl. 3: pp 129-139.
    • (2006) Ecol. Compl , vol.3 , pp. 129-139
    • Freud, J.A.1    Mieruch, S.2    Scholze, B.3    Wiltshire, R.4    Freudel, U.5
  • 24
    • 1142267538 scopus 로고    scopus 로고
    • External forcing of ecological and epidemiological systems: A resonance approach
    • Greenman J, Kamo M, Boots M. (2004) External forcing of Ecological and epidemiological systems: a resonance approach. Physica D 190: 136-151.
    • (2004) Physica D , vol.190 , pp. 136-151
    • Greenman, J.1    Kamo, M.2    Boots, M.3
  • 25
    • 4544370028 scopus 로고    scopus 로고
    • The effect of seasonal host birth rates on population dynamics the importance of resonance
    • Ireland JM, Norman RA, Greenmann J.V. (2004) The effect of seasonal host birth rates on population dynamics The importance of resonance. J. Theor. Biol. 231: 229-238.
    • (2004) J. Theor. Biol. , vol.231 , pp. 229-238
    • Ireland, J.M.1    Norman, R.A.2    Greenmann, J.V.3
  • 28
    • 13244273863 scopus 로고    scopus 로고
    • Epidemiological processes involved in the emergence of vector-borne diseases: West nile fever, rift valley fever, Japanese encephalitis and CrimeanCongo haemorrhagic fever
    • Chevalier V, Rocque S, Baldet T., Vial L, Roger F. (2004) Epidemiological processes involved in the emergence of vector-borne diseases: West Nile fever, Rift Valley fever, Japanese encephalitis and CrimeanCongo haemorrhagic fever. Rev. Sci. Tech. Office International des Epizooties 23(2): pp. 535-556.
    • (2004) Rev. Sci. Tech. Office International des Epizooties , vol.23 , Issue.2 , pp. 535-556
    • Chevalier, V.1    Rocque, S.2    Baldet, T.3    Vial, L.4    Roger, F.5
  • 29
    • 0022355937 scopus 로고
    • Effect of extrinsic Incubation temperature on the ability of aedes taeniorhynchus and culex pipiens to transmit rift valley fever virus
    • Turell MJ, Rossi CA, Bailey C.L. (1985) Effect of extrinsic incubation temperature on the ability of Aedes taeniorhynchus and Culex pipiens to transmit Rift Valley fever virus. Am. J. Trop. Med. Hyg. 34(6): pp. 1211-1218.
    • (1985) Am. J. Trop. Med. Hyg. , vol.34 , Issue.6 , pp. 1211-1218
    • Turell, M.J.1    Rossi, C.A.2    Bailey, C.L.3
  • 32
    • 0036845274 scopus 로고    scopus 로고
    • Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
    • van den Driessche P, Watmough J (2002) Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission. Math. Biosci. 180(1): pp. 29-48.
    • (2002) Math. Biosci. , vol.180 , Issue.1 , pp. 29-48
    • Van Den Driessche, P.1    Watmough, J.2
  • 33
    • 0029535261 scopus 로고
    • The population dynamics of vertically and horizontally transmitted parasites
    • Lipsitch M, Nowak MA, Ebert D, May R.M. (1995) The population dynamics of vertically and horizontally transmitted parasites. Proc. R. Soc. B 260: 321-327.
    • (1995) Proc. R. Soc. B , vol.260 , pp. 321-327
    • Lipsitch, M.1    Nowak, M.A.2    Ebert, D.3    May, R.M.4
  • 34
    • 33748982385 scopus 로고    scopus 로고
    • Seasonal infectious disease epidemiology
    • Grassly NC, Fraser C. (2006) Seasonal infectious disease epidemiology. Proc. R. Soc. 273: 2541-2550.
    • (2006) Proc. R. Soc. , vol.273 , pp. 2541-2550
    • Grassly, N.C.1    Fraser, C.2
  • 36
    • 33947541669 scopus 로고    scopus 로고
    • Approximation of the basic reproduction number R0 for vector-borne diseases with a periodic vector population
    • Bacaer N (2007) Approximation of the basic reproduction number R0 for vector-Borne diseases with a periodic vector population. Bull. Math. Biol. 69: 1067-1091.
    • (2007) Bull. Math. Biol. , vol.69 , pp. 1067-1091
    • Bacaer, N.1
  • 37
    • 67349182897 scopus 로고    scopus 로고
    • Backward bifurcation, equilibrium and stability phenomena in a three-stage extended BRSV epidemic model
    • Greenhalgh D, Griffiths M. (2009) Backward bifurcation, equilibrium and stability phenomena in a three-stage extended BRSV epidemic model. J. Math. Biol. 59(1): 1-36.
    • (2009) J. Math. Biol. , vol.59 , Issue.1 , pp. 1-36
    • Greenhalgh, D.1    Griffiths, M.2
  • 39
    • 34547655762 scopus 로고    scopus 로고
    • Global properties of infectious disease models with nonlinear incidence
    • Korobeinikov A (2007) Global properties of infectious disease models with nonlinear incidence. Bull Math Biol 69: 1871-1886.
    • (2007) Bull Math Biol , vol.69 , pp. 1871-1886
    • Korobeinikov, A.1
  • 40
    • 84907544740 scopus 로고
    • CBMS-NSF regional conference series in applied mathematics 25. SIAM, Philadelphia
    • LaSalle JP (1976) The stability of dynamical systems. CBMS-NSF regional conference series in applied mathematics 25. SIAM, Philadelphia.
    • (1976) The Stability of Dynamical Systems
    • LaSalle, J.P.1
  • 43
    • 77957157862 scopus 로고    scopus 로고
    • HIV/AIDS dynamics: Impact of economic classes with transmission from poor clinical settings
    • Pedro SA, Tchuenche J.M. (2010) HIV/AIDS dynamics: Impact of economic classes with transmission from poor clinical settings. Journal of Theoretical Biology 267: 471-485.
    • (2010) Journal of Theoretical Biology , vol.267 , pp. 471-485
    • Pedro, S.A.1    Tchuenche, J.M.2
  • 51
    • 84893480455 scopus 로고    scopus 로고
    • Rift valley fever outbreaks: Possible implication of hyalomma truncatum (Acari: Ixodidae)
    • Nchu F. Rand A (2013) Rift Valley fever outbreaks: Possible implication of Hyalomma truncatum (Acari: Ixodidae). Afr. J. Microbiol. Res. Vol. 7(30): pp. 3891-3894. doi:10.5897/AJMR12.2144.
    • (2013) Afr. J. Microbiol. Res , vol.7 , Issue.30 , pp. 3891-3894
    • Nchu, F.1    Rand, A.2
  • 52
    • 84907544739 scopus 로고    scopus 로고
    • Rift valley fever: Vigilance needed in the coming months
    • FAO (2012) Rift Valley Fever: Vigilance Needed in the Coming Months. EMPRES WATCH, Vol. 27.
    • (2012) EMPRES WATCH , vol.27
    • FAO1


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