A theoretical assessment of the effects of vector-virus transmission mechanism on plant virus disease epidemics

Phytopathology

Volumn 90, Issue 6, 2000, Pages 576-594

  Madden, L V ^a   Jeger, M J ^b   Van Den Bosch, F ^c  

^a OHIO STATE UNIVERSITY   (United States)

^b IMPERIAL COLLEGE LONDON   (United Kingdom)

^c ROTHAMSTED RESEARCH   (United Kingdom)

Author keywords

Compartmental model; Nonlinear model; Strategic modeling; Theoretical epidemiology

Indexed keywords

DISEASE CARRIER; DISEASE DIAGNOSIS; MATHEMATICAL ANALYSIS; MODEL; MORBIDITY; PLANT VIRUS; STEADY STATE; VIRUS INFECTIVITY; VIRUS TRANSMISSION;

EID: 0034117740     PISSN: 0031949X     EISSN: None     Source Type: Journal    
DOI: 10.1094/PHYTO.2000.90.6.576     Document Type: Article

References (42)

1. Anderson, R. M., and May, R. M. 1991. Infectious Diseases of Humans: Dynamics and Control. Oxford University Press, Oxford, United Kingdom.
2. Berger, P. H., and Ferriss, R. S. 1989 Mechanisms of arthropod transmission of plant viruses: Implication for the spread of disease. Pages 40-84 in: Spatial Components of Plant Disease Epidemics. M. J. Jeger, ed. Prentice-Hall, Englewood, NJ.
3. Berger, P. H., Zeyen, R. J., and Groth, J. V. 1987. Aphid retention of maize dwarf mosaic virus: Epidemiological implications. Ann. Appl. Biol. 111:337-344.
4. Campbell, C. L., and Madden, L. V. 1990. Introduction to Plant Disease Epidemiology. Wiley Interscience, New York.
5. Caswell, H. 1989. Matrix Population Models: Construction, Analysis and Interpretation. Sinauer Publishing, Sunderland, MA.
6. Chan, M. S., and Jeger, M. J. 1994. An analytical model of plant virus disease dynamics with roguing and replanting. J. Appl. Ecol. 31:413-427.
7. 0 in models for infectious-diseases in heterogeneous populations. J. Math. Biol. 28:365-382.
8. Ferriss, R. S., and Berger, P. H. 1993. A stochastic simulation model of epidemics of arthropod-vectored plant diseases. Phytopathology 83:1269-1278.
9. Frazer, B. D. 1977. Plant virus epidemiology and computer simulation of aphid populations. Pages 413-431 in: Aphids and Virus Vectors. K. R. Harris and K. Maramorosch, eds. Academic Press, New York.
10. Gilligan, C. A., Gubbins, S., and Simons, S. A. 1997. Analysis and fitting of an SIR model with host response to infection load for a plant disease. Philos. Trans. R. Soc. Lond. B 352:353-364.
11. Gutierrez, A. P., Havenstein, D. E., Nix, H. A., and Moore, P. A. 1974. The ecology of Aphis craccivora Koch and subterranean clover stunt virus in south-east Australia. J. Appl. Ecol. 11:1-20.
12. Holt, J., and Chancellor, T. C. B. 1996. Simulation modelling of the spread of rice tungro virus disease: The potential for management by roguing. J. Appl. Ecol. 33:927-936.
13. Holt, J., Jeger, M. J., Thresh, J. M., and Otim-Nape, G. W. 1997. An epidemiological model incorporating vector population dynamics applied to African cassava mosaic virus disease. J. Appl. Ecol. 34:793-806.
14. Irwin, M. E., and Ruesink, W. G. 1986. Vector intensity: A product of propensity and activity. Pages 13-33 in: Plant Virus Epidemics: Monitoring, Modelling and Predicting Outbreaks. G. D. McLean, R. G. Garrett, and W. G. Ruesink, eds. Academic Press, Sydney, Australia.
15. Jeger, M. J. 1982. The relation between total, infectious, and postinfectious diseased plant tissue. Phytopathology 72:1185-1189.
16. Jeger, M. J., and van den Bosch, F. 1994. Threshold criteria for model plant disease epidemics. I. Asymptotic results. Phytopathology 84:24-27.
17. Jeger, M. J., and van den Bosch, F. 1994. Threshold criteria for model plant disease epidemics. II. Persistence and endemicity. Phytopathology 84:28-30.
18. Jeger, M. J., van den Bosch, F., Madden, L. V., and Holt, J. 1998. A model for analysing plant-virus transmission characteristics and epidemic development. IMA(Inst. Math. Appl.) J. Math. Appl. Med. Biol. 15:1-18.
19. Keeling, M. J. 1999. The effects of local spatial structure on epidemiological invasions. Proc. R. Soc. Lond. B 266:859-867.
20. Kennedy, J. S., Day, M. F, and Eastop, V. F. 1962. A Conspectus of Aphids as Vectors of Plant Viruses. Commonwealth Institute of Entomology, London.
21. Khetarpal, R. K., Maisonneuve, B., Maury, Y., Chalhoub, B., Dinant, S., Lecoq, H., and Varma, A. 1998. Breeding for resistance to plant viruses. Pages 14-32 in: Plant Virus Disease Control. A. Hadidi, R. K. Khetarpal, and H. Koganezawa, eds. The American Phytopathological Society, St. Paul, MN.
22. Madden, L. V., Pirone, T. P., and Raccah, B. 1987. Temporal analysis of two viruses increasing in the same tobacco fields. Phytopathology 77: 974-980.
23. Madden, L. V., Raccah, B., and Pirone, T. P. 1990. Modelling plant disease increase as a function of vector numbers: Nonpersistent viruses. Res. Popul. Ecol. 32:47-65.
24. Marcus, R., and Raccah, B. 1986. A model for spread of non-persistent virus diseases. J. Appl. Stat. 13:167-175.
25. Matthews, R. E. F. 1991. Plant Virology. 3rd ed. Academic Press, New York.
26. May, R. M. 1974. Stability and Complexity in Model Ecosystems. 2nd ed. Princeton University Press, Princeton, NJ.
27. Nakasuji, F, Miyai, S., Kawamoto, H., and Kiritani, K. 1985. Mathematical epidemiology of rice dwarf virus transmitted by green rice leafhoppers: A differential equation model. J. Appl. Ecol. 22:839-847.
28. Nault, L. R. 1997. Arthropod transmission of plant viruses: A new synthesis. Ann. Entomol. Soc. Am. 90:521-541.
29. Nutter, F. W. 1993. Quantification of components contributing to rate-reducing resistance in a plant virus pathosystem. Pages 297-308 in: Systems Approaches for Agricultural Development. F. W. T. Penning de Vries, ed. Kluwer Publishing, Dordrecht, the Netherlands.
30. Nutter, F. W. 1997. Quantifying the temporal dynamics of plant virus epidemics: A review. Crop Prot. 16:603-618.
31. Perring, T. M., Gruenhagaen, N. M., and Farrar, C. A. 1999. Management of plant viral diseases through chemical control of insect vectors. Annu. Rev. Entomol. 44:457-481.
32. Ross, R. 1911. The Prevention of Malaria. 2nd ed. Murray Publishing, London.
33. Ruesink, W. G., and Irwin, M. E. 1986. Soybean mosaic virus epidemiology: A model and some implications. Pages 295-313 in: Plant Virus Epidemics: Monitoring, Modelling and Predicting Outbreaks. G. D. McLean, R. G. Garrett, and W. G. Ruesink, eds. Academic Press, Sydney, Australia.
34. Satapathy, M. K. 1998. Chemical control of insect and nematode vectors of plant viruses. Pages 188-195 in: Plant Virus Disease Control. A. Hadidi, R. K. Khetarpal, and H. Koganezawa, eds. The American Phytopathological Society, St. Paul, MN.
35. Thresh, M. J. 1978. The epidemiology of plant virus diseases. Pages 79-91 in: Plant Disease Epidemiology. P. R. Scott and A. Bainbridge, eds. Blackwell, Oxford.
36. Thresh, M. J. 1980. An ecological approach to the epidemiology of plant virus diseases. Pages 57-70 in: Comparative Epidemiology; A Tool for Better Disease Management. J. Palti and J. Kranz, eds. PUDOC Publishing, Wageningen, the Netherlands.
37. Thresh, M. J. 1983, Progress curves of plant virus disease. Appl. Biol. 8: 1-85.
38. Vanderplank, J. E. 1975. Principles of Plant Infection. Academic Press, New York.
39. Waterworth, H. E., and Hadidi, A. 1998. Economic losses due to plant viruses. Pages 1-13 in: Plant Virus Disease Control. A. Hadidi, R. K. Khetarpal, and H. Koganezawa, eds. The American Phytopathological Society, St. Paul, MN.
40. Watson, M. A. 1960. The ways in which plant viruses are transmitted by vectors. Pages 157-161 in: Rep. 7th Commonw. Entomol. Conf. Eastern Press, London.
41. Watson, M. A., and Roberts, F. M. 1939. A comparative study of the transmission of Hycocyamus virus 3, potato virus Y and cucumber virus 1 by vectors Myzus persicae (Sulz), M. circumflexus (Buckton), and Macrosiphum gu (Koch). Proc. R. Soc. Lond. B 127:543-576.
42. Zitter, T. A., and Simons, J. N. 1980. Management of viruses by alteration of vector efficiency and by cultural practices. Annu. Rev. Phytopathol. 18:289-310.