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Volumn 7, Issue 44, 2010, Pages 439-451

Invasion, persistence and control in epidemic models for plant pathogens: The effect of host demography

Author keywords

Disease control strategies; Endemic equilibrium; Epidemiological model; Logistic growth; Monomolecular growth

Indexed keywords

BASIC REPRODUCTIVE NUMBER; ENDEMIC EQUILIBRIUM; EPIDEMIC MODELS; EPIDEMIOLOGICAL MODELS; GENERIC MODELS; INFECTIOUS PERIOD; LOGISTIC GROWTH; PLANT DISEASE; PLANT PATHOGEN; TRANSMISSION RATES;

EID: 76049100212     PISSN: 17425689     EISSN: 17425662     Source Type: Journal    
DOI: 10.1098/rsif.2009.0226     Document Type: Article
Times cited : (41)

References (69)
  • 1
    • 0001430464 scopus 로고
    • The population dynamics of microparasites and their invertebrate hosts
    • doi:10.1098/rstb.1981.0005
    • Anderson, R. M. & May, R. M. 1981 The population dynamics of microparasites and their invertebrate hosts. Phil. Trans. R. Soc. Lond. B 291, 451-524. (doi:10.1098/rstb.1981.0005)
    • (1981) Phil. Trans. R. Soc. Lond. B , vol.291 , pp. 451-524
    • Anderson, R.M.1    May, R.M.2
  • 3
    • 0032925681 scopus 로고    scopus 로고
    • Dynamics of primary and secondary infection in take-all epidemics
    • doi:10.1094/PHYTO.1999.89.1.84
    • Bailey, D. J. & Gilligan, C. A. 1999 Dynamics of primary and secondary infection in take-all epidemics. Phytopathology 89, 84-91. (doi:10.1094/PHYTO.1999.89.1.84)
    • (1999) Phytopathology , vol.89 , pp. 84-91
    • Bailey, D.J.1    Gilligan, C.A.2
  • 4
    • 1942472068 scopus 로고    scopus 로고
    • Modeling and analysis of disease-induced host growth in the epidemiology of take-all
    • doi:10.1094/PHYTO.2004.94.5.535
    • Bailey, D. J. & Gilligan, C. A. 2004 Modeling and analysis of disease-induced host growth in the epidemiology of take-all. Phytopathology 94, 535-540. (doi:10.1094/PHYTO.2004.94.5.535)
    • (2004) Phytopathology , vol.94 , pp. 535-540
    • Bailey, D.J.1    Gilligan, C.A.2
  • 5
    • 1642547008 scopus 로고    scopus 로고
    • Epidemiological dynamics and the efficiency of biological control of soil-borne disease in consecutive crops
    • doi:10.1111/j.1469- 8137.2004.00973.x
    • Bailey, D. J., Kleczkowski, A. & Gilligan, C. A. 2004 Epidemiological dynamics and the efficiency of biological control of soil-borne disease in consecutive crops. New Phytol. 161, 561-575. (doi:10.1111/j.1469- 8137.2004.00973.x)
    • (2004) New Phytol , vol.161 , pp. 561-575
    • Bailey, D.J.1    Kleczkowski, A.2    Gilligan, C.A.3
  • 6
    • 11244253701 scopus 로고    scopus 로고
    • Epidemiology and chemical control of take-all on seminal and adventitious roots of wheat
    • doi:10.1094/PHYTO-95-0062
    • Bailey, D. J., Paveley, N., Pillinger, C., Foulkes, J., Spink, J. & Gilligan, C. A. 2005 Epidemiology and chemical control of take-all on seminal and adventitious roots of wheat. Phytopathology 95, 62-68. (doi:10.1094/PHYTO-95-0062)
    • (2005) Phytopathology , vol.95 , pp. 62-68
    • Bailey, D.J.1    Paveley, N.2    Pillinger, C.3    Foulkes, J.4    Spink, J.5    Gilligan, C.A.6
  • 7
    • 33646366145 scopus 로고    scopus 로고
    • An epidemiological analysis of the role of disease-induced root growth in the differential response of two cultivars of winter wheat to infection by Gaeumannomyces graminis var. tritici
    • doi:10.1094/PHYTO-96-0510
    • Bailey, D. J., Kleczkowski, A. & Gilligan, C. A. 2006 An epidemiological analysis of the role of disease-induced root growth in the differential response of two cultivars of winter wheat to infection by Gaeumannomyces graminis var. tritici. Phytopathology 96, 510-516. (doi:10.1094/PHYTO-96-0510)
    • (2006) Phytopathology , vol.96 , pp. 510-516
    • Bailey, D.J.1    Kleczkowski, A.2    Gilligan, C.A.3
  • 8
    • 68149162289 scopus 로고    scopus 로고
    • Epidemiological analysis of take-all decline in winter wheat
    • doi:10.1094/ PHYTO-99-7-0861
    • Bailey, D. J., Paveley, N., Spink, J., Lucas, P. & Gilligan, C. A. 2009 Epidemiological analysis of take-all decline in winter wheat. Phytopathology 99, 861-868. (doi:10.1094/ PHYTO-99-7-0861)
    • (2009) Phytopathology , vol.99 , pp. 861-868
    • Bailey, D.J.1    Paveley, N.2    Spink, J.3    Lucas, P.4    Gilligan, C.A.5
  • 9
    • 0028161999 scopus 로고
    • Host-host-pathogen models and microbial pest control: The effect of host self regulation
    • doi:10.1006/jtbi.1994.1148
    • Begon, M. & Bowers, R. G. 1994 Host-host-pathogen models and microbial pest control: the effect of host self regulation. J. Theor. Biol. 169, 275-287. (doi:10.1006/jtbi.1994.1148)
    • (1994) J. Theor. Biol , vol.169 , pp. 275-287
    • Begon, M.1    Bowers, R.G.2
  • 10
    • 0026499443 scopus 로고
    • Disease and community structure: The importance of host self-regulation in a host-host-pathogen model
    • doi:10.1086/285379
    • Begon, M., Bowers, R. G., Kadianakis, N. & Hodgkinson, D. E. 1992 Disease and community structure: the importance of host self-regulation in a host-host-pathogen model. Am. Nat. 139, 1131-1150. (doi:10.1086/285379)
    • (1992) Am. Nat , vol.139 , pp. 1131-1150
    • Begon, M.1    Bowers, R.G.2    Kadianakis, N.3    Hodgkinson, D.E.4
  • 11
    • 0032997628 scopus 로고    scopus 로고
    • Does host self-regulation increase the likelihood of insect-pathogen population cycles?
    • doi:10.1086/303161
    • Bonsall, M. B., Godfray, H. C. J., Briggs, C. J. & Hassell, M. P. 1999 Does host self-regulation increase the likelihood of insect-pathogen population cycles? Am. Nat. 153, 228-235. (doi:10.1086/303161)
    • (1999) Am. Nat , vol.153 , pp. 228-235
    • Bonsall, M.B.1    Godfray, H.C.J.2    Briggs, C.J.3    Hassell, M.P.4
  • 12
    • 0026081169 scopus 로고
    • A host-host-pathogen model with free-living infective stages, applicable to microbial pest control
    • doi:10.1016/S0022-5193(05)80240-1
    • Bowers, R. G. & Begon, M. 1991 A host-host-pathogen model with free-living infective stages, applicable to microbial pest control. J. Theor. Biol. 148, 305-329. (doi:10.1016/S0022-5193(05)80240-1)
    • (1991) J. Theor. Biol , vol.148 , pp. 305-329
    • Bowers, R.G.1    Begon, M.2
  • 13
    • 0027384884 scopus 로고
    • Host-pathogen population cycles in forest insects? Lessons from simple models reconsidered
    • doi:10.2307/3545365
    • Bowers, R. G., Begon, M. & Hodgkinson, D. E. 1993 Host-pathogen population cycles in forest insects? Lessons from simple models reconsidered. Oikos 67, 529-538. (doi:10.2307/3545365)
    • (1993) Oikos , vol.67 , pp. 529-538
    • Bowers, R.G.1    Begon, M.2    Hodgkinson, D.E.3
  • 15
    • 0034066575 scopus 로고    scopus 로고
    • What causes generation cycles in populations of stored-product moths?
    • doi:10.1046/j.1365-2656.2000.00398. x
    • Briggs, C. J., Sait, S. M., Begon, M., Thompson, D. J. & Godfray, H. C. J. 2000 What causes generation cycles in populations of stored-product moths? J. Anim. Ecol. 69, 352-366. (doi:10.1046/j.1365-2656.2000.00398. x)
    • (2000) J. Anim. Ecol , vol.69 , pp. 352-366
    • Briggs, C.J.1    Sait, S.M.2    Begon, M.3    Thompson, D.J.4    Godfray, H.C.J.5
  • 17
    • 0025025686 scopus 로고
    • Demography and epidemics
    • doi:10.1016/0025-5564(90)90102-5
    • Busenberg, S. & Hadeler, K. P. 1990 Demography and epidemics. Math. Biosci. 101, 63-74. (doi:10.1016/0025-5564(90)90102-5)
    • (1990) Math. Biosci , vol.101 , pp. 63-74
    • Busenberg, S.1    Hadeler, K.P.2
  • 18
    • 0025112636 scopus 로고
    • Analysis of a disease transmission model in a population with varying size
    • doi:10.1007/BF00178776
    • Busenberg, S.&van den Driessche,P. 1990 Analysis of a disease transmission model in a population with varying size. J. Math. Biol. 28, 257-270. (doi:10.1007/BF00178776)
    • (1990) J. Math. Biol , vol.28 , pp. 257-270
    • Busenberg, S.1    van den Driessche, P.2
  • 19
    • 0024352931 scopus 로고
    • On the role of long incubation periods in the dynamics of acquired immunodeficiency syndrome (AIDS). Part 1: Single population models
    • doi:10.1007/BF00290636
    • Castillo-Chavez, C., Cooke, K., Huang, W. & Levin, S. A. 1989 On the role of long incubation periods in the dynamics of acquired immunodeficiency syndrome (AIDS). Part 1: single population models. J. Math. Biol. 27, 373-398. (doi:10.1007/BF00290636)
    • (1989) J. Math. Biol , vol.27 , pp. 373-398
    • Castillo-Chavez, C.1    Cooke, K.2    Huang, W.3    Levin, S.A.4
  • 20
    • 0031017761 scopus 로고    scopus 로고
    • Influence of crop management on take-all development and disease cycles on winter wheat
    • doi:10.1094/PHYTO.1997.87.1.26
    • Colbach, N., Lucas, P. & Meynard, J. M. 1997 Influence of crop management on take-all development and disease cycles on winter wheat. Phytopathology 87, 26-32. (doi:10.1094/PHYTO.1997.87.1.26)
    • (1997) Phytopathology , vol.87 , pp. 26-32
    • Colbach, N.1    Lucas, P.2    Meynard, J.M.3
  • 22
    • 0025159677 scopus 로고
    • 0 in models for infectious diseases in heterogeneous populations
    • doi:10.1007/BF00178324
    • 0 in models for infectious diseases in heterogeneous populations. J. Math. Biol. 28, 365-382. (doi:10.1007/BF00178324)
    • (1990) J. Math. Biol , vol.28 , pp. 365-382
    • Diekmann, O.1    Heesterbeek, J.A.P.2    Metz, J.A.J.3
  • 23
    • 0028174691 scopus 로고
    • Density-dependence and spatial structure in the dynamics of insect pathogens
    • doi:10.1086/285619
    • Dwyer, G. 1994 Density-dependence and spatial structure in the dynamics of insect pathogens. Am. Nat. 143, 533-562. (doi:10.1086/285619)
    • (1994) Am. Nat , vol.143 , pp. 533-562
    • Dwyer, G.1
  • 24
    • 0026444580 scopus 로고
    • Disease transmission models with density-dependent demographics
    • doi:10.1007/BF00173265
    • Gao, L. Q. & Hethcote, H. W. 1992 Disease transmission models with density-dependent demographics. J. Math. Biol. 30, 717-731. (doi:10.1007/BF00173265)
    • (1992) J. Math. Biol , vol.30 , pp. 717-731
    • Gao, L.Q.1    Hethcote, H.W.2
  • 25
    • 0010109989 scopus 로고
    • Construction of temporal models: III. Disease progress of soil-borne pathogens
    • ed. C. A. Gilligan, London, UK: Academic Press
    • Gilligan, C. A. 1985 Construction of temporal models: III. Disease progress of soil-borne pathogens. In Mathematical modelling of crop disease (ed. C. A. Gilligan). London, UK: Academic Press.
    • (1985) Mathematical modelling of crop disease
    • Gilligan, C.A.1
  • 26
    • 0343702259 scopus 로고
    • Mathematical modeling and analysis of soilborne pathogens
    • ed. J. Kranz, pp, Heidelberg, Germany: Springer-Verlag
    • Gilligan, C. A. 1990 Mathematical modeling and analysis of soilborne pathogens. In Epidemics of plant diseases: mathematical analysis and modeling (ed. J. Kranz), pp. 96-142. Heidelberg, Germany: Springer-Verlag.
    • (1990) Epidemics of plant diseases: Mathematical analysis and modeling , pp. 96-142
    • Gilligan, C.A.1
  • 27
    • 0012502239 scopus 로고    scopus 로고
    • An epidemiological framework for disease management
    • London, UK: Academic Press, doi:10.1016/ S0065-2296(02)38027-3
    • Gilligan, C. A. 2002 An epidemiological framework for disease management. In Advances in botanical research, vol. 38, pp. 1-64. London, UK: Academic Press. (doi:10.1016/ S0065-2296(02)38027-3)
    • (2002) Advances in botanical research , vol.38 , pp. 1-64
    • Gilligan, C.A.1
  • 28
    • 40949146927 scopus 로고    scopus 로고
    • Sustainable agriculture and plant disease: An epidemiological perspective
    • doi:10.1098/rstb.2007.2181
    • Gilligan, C. A. 2008 Sustainable agriculture and plant disease: an epidemiological perspective. Phil. Trans. R. Soc. B 363, 741-759. (doi:10.1098/rstb.2007.2181)
    • (2008) Phil. Trans. R. Soc. B , vol.363 , pp. 741-759
    • Gilligan, C.A.1
  • 29
    • 0031466075 scopus 로고    scopus 로고
    • Population dynamics of botanical epidemics involving primary and secondary infection
    • doi:10.1098/rstb.1997.0040
    • Gilligan, C. A. & Kleczkowski, A. 1997 Population dynamics of botanical epidemics involving primary and secondary infection. Proc. R. Soc. Lond. B 352, 591-608. (doi:10.1098/rstb.1997.0040)
    • (1997) Proc. R. Soc. Lond. B , vol.352 , pp. 591-608
    • Gilligan, C.A.1    Kleczkowski, A.2
  • 30
    • 0030742097 scopus 로고    scopus 로고
    • Analysis and fitting of an SIR model with host response to infection load for a plant disease
    • doi:10.1098/rstb.1997.0026
    • Gilligan, C. A., Gubbins, S. & Simons, S. A. 1997 Analysis and fitting of an SIR model with host response to infection load for a plant disease. Phil. Trans. R. Soc. Lond. B 352, 353-364. (doi:10.1098/rstb.1997.0026)
    • (1997) Phil. Trans. R. Soc. Lond. B , vol.352 , pp. 353-364
    • Gilligan, C.A.1    Gubbins, S.2    Simons, S.A.3
  • 32
    • 0024995399 scopus 로고
    • An epidemic model with a density-dependent death rate
    • doi:10.1093/imammb/ 7.1.1
    • Greenhalgh, D. 1990 An epidemic model with a density-dependent death rate. IMA J. Math. Appl. Med. Biol. 7, 1-26. (doi:10.1093/imammb/ 7.1.1)
    • (1990) IMA J. Math. Appl. Med. Biol , vol.7 , pp. 1-26
    • Greenhalgh, D.1
  • 33
    • 77957188668 scopus 로고
    • Some results for an SEIR epidemic model with density dependence in the death rate
    • doi:10.1093/imammb/9.2.67
    • Greenhalgh, D. 1992a Some results for an SEIR epidemic model with density dependence in the death rate. IMA J. Math. Appl. Med. Biol. 9, 67-106. (doi:10.1093/imammb/9.2.67)
    • (1992) IMA J. Math. Appl. Med. Biol , vol.9 , pp. 67-106
    • Greenhalgh, D.1
  • 34
    • 0027008214 scopus 로고
    • Some threshold and stability results for epidemic models with a density-dependent death rate
    • doi:10.1016/0040-5809(92)90009-I
    • Greenhalgh, D. 1992b Some threshold and stability results for epidemic models with a density-dependent death rate. Theor. Popul. Biol. 42, 130-151. (doi:10.1016/0040-5809(92)90009-I)
    • (1992) Theor. Popul. Biol , vol.42 , pp. 130-151
    • Greenhalgh, D.1
  • 35
    • 0030456216 scopus 로고    scopus 로고
    • Population dynamics of a parasite and hyperparasite in a closed system: Model analysis and parameter estimation
    • doi:10.1098/rspb.1996.0158
    • Gubbins, S. & Gilligan, C. A. 1996 Population dynamics of a parasite and hyperparasite in a closed system: model analysis and parameter estimation. Proc. R. Soc. Lond. B 263, 1071-1078. (doi:10.1098/rspb.1996.0158)
    • (1996) Proc. R. Soc. Lond. B , vol.263 , pp. 1071-1078
    • Gubbins, S.1    Gilligan, C.A.2
  • 36
    • 0031590817 scopus 로고    scopus 로고
    • Biological control in a disturbed environment
    • doi:10.1098/rstb.1997.0180
    • Gubbins, S. & Gilligan, C. A. 1997a Biological control in a disturbed environment. Phil. Trans. R. Soc. Lond. B 352, 1935-1949. (doi:10.1098/rstb.1997.0180)
    • (1997) Phil. Trans. R. Soc. Lond. B , vol.352 , pp. 1935-1949
    • Gubbins, S.1    Gilligan, C.A.2
  • 37
    • 0031582767 scopus 로고    scopus 로고
    • Persistence of host-parasite interactions in a disturbed environment
    • doi:10.1006/jtbi.1997.0466
    • Gubbins, S. & Gilligan, C. A. 1997b Persistence of host-parasite interactions in a disturbed environment. J. Theor. Biol. 188, 241-258. (doi:10.1006/jtbi.1997.0466)
    • (1997) J. Theor. Biol , vol.188 , pp. 241-258
    • Gubbins, S.1    Gilligan, C.A.2
  • 38
    • 0030816240 scopus 로고    scopus 로고
    • A test of heterogeneous mixing as a mechanism for ecological persistence in disturbed environments
    • doi:10.1098/rspb.1997.0032
    • Gubbins, S. & Gilligan, C. A. 1997c A test of heterogeneous mixing as a mechanism for ecological persistence in disturbed environments. Proc. R. Soc. Lond. B 264, 227-232. (doi:10.1098/rspb.1997.0032)
    • (1997) Proc. R. Soc. Lond. B , vol.264 , pp. 227-232
    • Gubbins, S.1    Gilligan, C.A.2
  • 39
    • 0034045481 scopus 로고    scopus 로고
    • Population dynamics of plant-parasite interactions: Thresholds for invasion
    • doi:10. 1006/tpbi.1999.1441
    • Gubbins, S., Gilligan, C. A. & Kleczkowski, A. 2000 Population dynamics of plant-parasite interactions: thresholds for invasion. Theor. Popul. Biol. 57, 219-234. (doi:10. 1006/tpbi.1999.1441)
    • (2000) Theor. Popul. Biol , vol.57 , pp. 219-234
    • Gubbins, S.1    Gilligan, C.A.2    Kleczkowski, A.3
  • 40
    • 3042690826 scopus 로고    scopus 로고
    • Invasion of drug and pesticide resistance is determined by a trade-off between biocide efficacy and relative fitness
    • doi:10.1016/j.bulm.2003.11.006
    • Hall, R. J., Gubbins, S. & Gilligan, C. A. 2004 Invasion of drug and pesticide resistance is determined by a trade-off between biocide efficacy and relative fitness. Bull. Math. Biol. 66, 835-840. (doi:10.1016/j.bulm.2003.11.006)
    • (2004) Bull. Math. Biol , vol.66 , pp. 835-840
    • Hall, R.J.1    Gubbins, S.2    Gilligan, C.A.3
  • 41
    • 33847295793 scopus 로고    scopus 로고
    • Evaluating the performance of chemical control in the presence of resistant pathogens
    • doi:10.1007/s11538-006-9139-z
    • Hall, R. J., Gubbins, S. & Gilligan, C. A. 2007 Evaluating the performance of chemical control in the presence of resistant pathogens. Bull. Math. Biol. 69, 525-537. (doi:10.1007/s11538-006-9139-z)
    • (2007) Bull. Math. Biol , vol.69 , pp. 525-537
    • Hall, R.J.1    Gubbins, S.2    Gilligan, C.A.3
  • 42
    • 32044460132 scopus 로고    scopus 로고
    • Perspectives on the basic reproductive ratio
    • doi:10.1098/rsif.2005.0042
    • Heffernan, J. M., Smith, R. J. & Wahl, L. M. 2005 Perspectives on the basic reproductive ratio. J. R. Soc. Interface 2, 281-293. (doi:10.1098/rsif.2005.0042)
    • (2005) J. R. Soc. Interface , vol.2 , pp. 281-293
    • Heffernan, J.M.1    Smith, R.J.2    Wahl, L.M.3
  • 43
    • 0029445684 scopus 로고
    • An SIS epidemic model with variable population size and a delay
    • doi:10.1007/BF00178772
    • Hethcote, H. W. & van den Driessche, P. 1995 An SIS epidemic model with variable population size and a delay. J. Math. Biol. 34, 177-194. (doi:10.1007/BF00178772)
    • (1995) J. Math. Biol , vol.34 , pp. 177-194
    • Hethcote, H.W.1    van den Driessche, P.2
  • 44
    • 0000323491 scopus 로고
    • Using mathematical models to understand the AIDS epidemic
    • doi:10.1016/0025-5564(88)90078-8
    • Hyman, J. M. & Stanley, E. A. 1988 Using mathematical models to understand the AIDS epidemic. Math. Biosci. 90, 415-473. (doi:10.1016/0025-5564(88)90078-8)
    • (1988) Math. Biosci , vol.90 , pp. 415-473
    • Hyman, J.M.1    Stanley, E.A.2
  • 45
    • 0024205659 scopus 로고
    • Modeling and analysing HIV transmission: The effect of contact patterns
    • doi:10.1016/0025-5564(88)90031-4
    • Jacquez, J. A., Simon, C. P., Koopman, J., Sattenspiel, L. & Perry, T. 1988 Modeling and analysing HIV transmission: the effect of contact patterns. Math. Biosci. 92, 119-199. (doi:10.1016/0025-5564(88)90031-4)
    • (1988) Math. Biosci , vol.92 , pp. 119-199
    • Jacquez, J.A.1    Simon, C.P.2    Koopman, J.3    Sattenspiel, L.4    Perry, T.5
  • 46
    • 84982595620 scopus 로고
    • The in.uence of root growth and inoculum density on the dynamics of root disease epidemics: Theoretical analysis
    • doi:10.1111/j.1469-8137.1987.tb00197.x
    • Jeger, M. J. 1987 The in.uence of root growth and inoculum density on the dynamics of root disease epidemics: theoretical analysis. New Phytol. 107, 459-478. (doi:10.1111/j.1469-8137.1987.tb00197.x)
    • (1987) New Phytol , vol.107 , pp. 459-478
    • Jeger, M.J.1
  • 47
    • 3943072489 scopus 로고    scopus 로고
    • Epidemiology of insect-transmitted plant viruses: Modelling disease dynamics and control interventions
    • doi:10.1111/j.0307-6962.2004.00394.x
    • Jeger, M. J., Holt, J., van den Bosch, F. & Madden, L. V. 2004 Epidemiology of insect-transmitted plant viruses: modelling disease dynamics and control interventions. Physiol. Entomol. 29, 291-304. (doi:10.1111/j.0307-6962.2004.00394.x)
    • (2004) Physiol. Entomol , vol.29 , pp. 291-304
    • Jeger, M.J.1    Holt, J.2    van den Bosch, F.3    Madden, L.V.4
  • 48
    • 0000998185 scopus 로고
    • A contribution to the mathematical theory of epidemics
    • doi:10.1098/rspa.1927.0118
    • Kermack, W. O. & McKendrick, A. G. 1927 A contribution to the mathematical theory of epidemics. Proc. R. Soc. Lond. A 115, 700-721. (doi:10.1098/rspa.1927.0118)
    • (1927) Proc. R. Soc. Lond. A , vol.115 , pp. 700-721
    • Kermack, W.O.1    McKendrick, A.G.2
  • 49
    • 34249934438 scopus 로고    scopus 로고
    • The form of host density-dependence and the likelihood of host-pathogen cycles in forest-insect systems
    • doi:10.1016/j.tpb.2007. 01.002
    • Liu, W.-C., Bonsall, M. B. & Godfray, H. C. J. 2007 The form of host density-dependence and the likelihood of host-pathogen cycles in forest-insect systems. Theor. Popul. Biol. 72, 86-95. (doi:10.1016/j.tpb.2007. 01.002)
    • (2007) Theor. Popul. Biol , vol.72 , pp. 86-95
    • Liu, W.-C.1    Bonsall, M.B.2    Godfray, H.C.J.3
  • 50
    • 33745513265 scopus 로고    scopus 로고
    • Botanical epidemiology: Some key advances and its continuing role in disease management
    • doi:10.1007/s10658-005-1229-5
    • Madden, L. V. 2006 Botanical epidemiology: some key advances and its continuing role in disease management. Eur. J. Plant Pathol. 115, 3-23. (doi:10.1007/s10658-005-1229-5)
    • (2006) Eur. J. Plant Pathol , vol.115 , pp. 3-23
    • Madden, L.V.1
  • 51
    • 0034117740 scopus 로고    scopus 로고
    • A theoretical assessment of the effects of vector-virus transmission mechanism on plant virus disease epidemics
    • doi:10.1094/PHYTO.2000.90.6.576
    • Madden, L. V., Jeger, M. J. & van den Bosch, F. 2000 A theoretical assessment of the effects of vector-virus transmission mechanism on plant virus disease epidemics. Phytopathology 90, 576-594. (doi:10.1094/PHYTO.2000.90.6.576)
    • (2000) Phytopathology , vol.90 , pp. 576-594
    • Madden, L.V.1    Jeger, M.J.2    van den Bosch, F.3
  • 54
    • 0023734156 scopus 로고
    • Possible demographic consequences of HIV/AIDS epidemics: I. Assuming HIV infection always leads to AIDS
    • doi:10.1016/0025-5564(88)90079- X
    • May, R. M., Anderson, R. M. & McLean, A. R. 1988 Possible demographic consequences of HIV/AIDS epidemics: I. Assuming HIV infection always leads to AIDS. Math. Biosci. 90, 475-505. (doi:10.1016/0025-5564(88)90079- X)
    • (1988) Math. Biosci , vol.90 , pp. 475-505
    • May, R.M.1    Anderson, R.M.2    McLean, A.R.3
  • 55
    • 0026491804 scopus 로고
    • Dynamic models of infectious diseases as regulators of population sizes
    • doi:10.1007/BF00173264
    • Mena-Lorcat, J. & Hethcote, H. W. 1992 Dynamic models of infectious diseases as regulators of population sizes. J. Math. Biol. 30, 693-716. (doi:10.1007/BF00173264)
    • (1992) J. Math. Biol , vol.30 , pp. 693-716
    • Mena-Lorcat, J.1    Hethcote, H.W.2
  • 56
    • 0034887323 scopus 로고    scopus 로고
    • Invasion and persistence of plant parasites in a spatially structured host population
    • doi:10.1034/j.1600-0706.2001.10489.x
    • Park, A. W., Gubbins, S. & Gilligan, C. A. 2001 Invasion and persistence of plant parasites in a spatially structured host population. Oikos 94, 162-174. (doi:10.1034/j.1600-0706.2001.10489.x)
    • (2001) Oikos , vol.94 , pp. 162-174
    • Park, A.W.1    Gubbins, S.2    Gilligan, C.A.3
  • 57
    • 20044384010 scopus 로고    scopus 로고
    • Smallscale fungicide spray heterogeneity and the coexistence of resistant and sensitive pathogen strains
    • doi:10.1094/PHYTO- 95-0632
    • Parnell, S., Gilligan, C. A. & van den Bosch, F. 2005 Smallscale fungicide spray heterogeneity and the coexistence of resistant and sensitive pathogen strains. Phytopathology 95, 632-639. (doi:10.1094/PHYTO- 95-0632)
    • (2005) Phytopathology , vol.95 , pp. 632-639
    • Parnell, S.1    Gilligan, C.A.2    van den Bosch, F.3
  • 58
    • 0025031240 scopus 로고
    • Population models for diseases with no recovery
    • doi:10.1007/BF00171519
    • Pugliese, A. 1990 Population models for diseases with no recovery. J. Math. Biol. 28, 65-82. (doi:10.1007/BF00171519)
    • (1990) J. Math. Biol , vol.28 , pp. 65-82
    • Pugliese, A.1
  • 59
    • 0032884280 scopus 로고    scopus 로고
    • Modeling of take-all epidemics to evaluate the efficacy of a new seed-treatment fungicide on wheat
    • doi:10.1094/PHYTO.1999.89.10.954
    • Schoeny, A. & Lucas, P. 1999 Modeling of take-all epidemics to evaluate the efficacy of a new seed-treatment fungicide on wheat. Phytopathology 89, 954-961. (doi:10.1094/PHYTO.1999.89.10.954)
    • (1999) Phytopathology , vol.89 , pp. 954-961
    • Schoeny, A.1    Lucas, P.2
  • 60
    • 1942471898 scopus 로고    scopus 로고
    • A model for invasion and spread of rhizomania in the UK: Implications for disease control strategies
    • doi:10.1094/PHYTO.2004.94.2.209
    • Stacey, A. J., Truscott, J. E., Asher, M. J. C. & Gilligan, C. A. 2004 A model for invasion and spread of rhizomania in the UK: implications for disease control strategies. Phytopathology 94, 209-215. (doi:10.1094/PHYTO.2004.94.2.209)
    • (2004) Phytopathology , vol.94 , pp. 209-215
    • Stacey, A.J.1    Truscott, J.E.2    Asher, M.J.C.3    Gilligan, C.A.4
  • 61
    • 0042808451 scopus 로고    scopus 로고
    • Response of a deterministic epidemiological system to a stochastically varying environment
    • doi:10.1073/pnas.1436273100
    • Truscott, J. E. & Gilligan, C. A. 2003 Response of a deterministic epidemiological system to a stochastically varying environment. Proc. Natl Acad. Sci. USA 100, 9067-9072. (doi:10.1073/pnas.1436273100)
    • (2003) Proc. Natl Acad. Sci. USA , vol.100 , pp. 9067-9072
    • Truscott, J.E.1    Gilligan, C.A.2
  • 62
    • 0031401006 scopus 로고    scopus 로고
    • Asymptotic analysis of an epidemic model with primary and secondary infection
    • doi:10.1007/BF02460103
    • Truscott, J. E., Webb, C. R. & Gilligan, C. A. 1997 Asymptotic analysis of an epidemic model with primary and secondary infection. Bull. Math. Biol. 59, 1101-1123. (doi:10.1007/BF02460103)
    • (1997) Bull. Math. Biol , vol.59 , pp. 1101-1123
    • Truscott, J.E.1    Webb, C.R.2    Gilligan, C.A.3
  • 63
    • 33847765377 scopus 로고    scopus 로고
    • Disease control and its selection for damaging plant virus strains in vegetatively propagated staple food crops; a theoretical assessment
    • doi:10.1098/rspb.2006.3715
    • van den Bosch, F., Jeger, M. J. & Gilligan, C. A. 2007 Disease control and its selection for damaging plant virus strains in vegetatively propagated staple food crops; a theoretical assessment. Proc. R. Soc. B 274, 11-18. (doi:10.1098/rspb.2006.3715)
    • (2007) Proc. R. Soc. B , vol.274 , pp. 11-18
    • van den Bosch, F.1    Jeger, M.J.2    Gilligan, C.A.3
  • 64
    • 0036845274 scopus 로고    scopus 로고
    • Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
    • doi:10.1016/S0025- 5564(02)00108-6
    • van den Driessche, P. & Watmough, J. 2002 Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission. Math. Biosci. 180, 29-48. (doi:10.1016/S0025- 5564(02)00108-6)
    • (2002) Math. Biosci , vol.180 , pp. 29-48
    • van den Driessche, P.1    Watmough, J.2
  • 66
    • 0032925680 scopus 로고    scopus 로고
    • A model for the temporal buildup of Polymyxa betae
    • doi:10.1094/PHYTO.1999.89.1.30
    • Webb, C. R., Gilligan, C. A. & Asher, M. J. C. 1999 A model for the temporal buildup of Polymyxa betae. Phytopathology 89, 30-38. (doi:10.1094/PHYTO.1999.89.1.30)
    • (1999) Phytopathology , vol.89 , pp. 30-38
    • Webb, C.R.1    Gilligan, C.A.2    Asher, M.J.C.3
  • 67
    • 0033783701 scopus 로고    scopus 로고
    • Modelling the effect of temperature on the dynamics of Polymyxa betae
    • doi:10.1046/j.1365-3059.2000.00483.x
    • Webb, C. R., Gilligan, C. A. & Asher, M. J. C. 2000 Modelling the effect of temperature on the dynamics of Polymyxa betae. Plant Pathol. 49, 600-607. (doi:10.1046/j.1365-3059.2000.00483.x)
    • (2000) Plant Pathol , vol.49 , pp. 600-607
    • Webb, C.R.1    Gilligan, C.A.2    Asher, M.J.C.3
  • 68
    • 0000177664 scopus 로고    scopus 로고
    • Population cycles in self-regulated insect pathogen systems: Resolving conflicting predictions
    • doi:10.1086/285921
    • White, A., Begon, M. & Bowers, R. G. 1996 Population cycles in self-regulated insect pathogen systems: resolving conflicting predictions. Am. Nat. 148, 220-225. (doi:10.1086/285921)
    • (1996) Am. Nat , vol.148 , pp. 220-225
    • White, A.1    Begon, M.2    Bowers, R.G.3
  • 69
    • 0028726379 scopus 로고
    • Population size dependent incidence in models for diseases without immunity
    • doi:10.1007/BF00168799
    • Zhou, J. & Hethcote, H. W. 1994 Population size dependent incidence in models for diseases without immunity. J. Math. Biol. 32, 809-834. (doi:10.1007/BF00168799)
    • (1994) J. Math. Biol , vol.32 , pp. 809-834
    • Zhou, J.1    Hethcote, H.W.2


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