Dynamics of primary and secondary infection in take-all epidemics

Phytopathology

Volumn 89, Issue 1, 1999, Pages 84-91

  Bailey, D J ^a   Gilligan, C A ^a  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

DISEASE MODEL; PATHOGENESIS;

ANIMALIA; FUNGI; GAEUMANNOMYCES; GAEUMANNOMYCES GRAMINIS; GAEUMANNOMYCES GRAMINIS VAR. TRITICI; TRITICUM AESTIVUM;

EID: 0032925681     PISSN: 0031949X     EISSN: None     Source Type: Journal    
DOI: 10.1094/PHYTO.1999.89.1.84     Document Type: Article

References (28)

1. Amorim, L., Filho, A. B., and Hau, B. 1993. Analysis of progress curves of sugarcane smut on different cultivars using functions of double sigmoid pattern. Phytopathology 83:933-936.
2. Bailey, D. J., and Gilligan, C. A. 1997. Biological control of pathozone behaviour and disease dynamics of Rhizoctonia solani by Trichoderma viride. New Phytol. 136:359-367.
3. Brassett, P. R., and Gilligan, C. A. 1988. A model for primary and secondary infection in botanical epidemics. Z. Pflanzenkr. Pflanzenschutz 95: 352-360.
4. Brassett, P. R., and Gilligan, C. A. 1989. Fitting of simple models for field disease progress for the take-all fungus. Plant Pathol. 38:397-407.
5. Briggle, L. W., and Curtis, B. C. 1987. Wheat worldwide. Pages 1-32 in: Wheat and Wheat Improvement. E. G. Heyne, ed. American Society of Agronomy and Crop Sciences of America, Madison, WI.
6. Bull, C. T., Weller, D. M., and Thomashow, L. S. 1991. Relationship between root colonization and suppression of Gaeumannomyces graminis var. tritici by Pseudomonas fluorescens strain 2-79. Phytopathology 81:954-959.
7. Colbach, N., Lucas, P., and Meynard, J. M. 1997. Influence of crop management on take-all development and disease cycles on winter wheat. Phytopathology 87:26-32.
8. Garrett, S. D. 1970. Pathogenic Root Infecting Fungi. Cambridge University Press, Cambridge.
9. Gilligan, C. A. 1985. Probability models for host infection by soilborne fungi. Phytopathology 75:61-67.
10. Gilligan, C. A. 1990. Mathematical models of infection. Pages 207-232 in: The Rhizosphere. J. Lynch, ed. John Wiley & Sons, Chichester, England.
11. Gilligan, C. A., and Brassett, P. R. 1990. Modelling and estimation of relative potential for infection of winter wheat by inoculum of Gaeumannomyces graminis derived from propagules and infected plants. J. Phytopathol. 129:58-68.
12. Gilligan, C. A., Brassett, P. R., and Campbell, A. 1994. Computer simulation of early infection of cereal roots by the take-all fungus: A detailed stochastic, mechanistic simulator. New Phytol. 128:515-527.
13. 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. Ser. B 352:353-364.
14. Gilligan, C. A., and Kleczkowski, A. 1997. Population dynamics of botanical epidemics involving primary and secondary infection. Philos. Trans. R. Soc. Lond. Ser. B 352:591-608.
15. Gilligan, C. A., and Simons, S. A. 1987. Inoculum efficiency and pathozone width for two host-parasite systems. New Phytol. 107:549-566.
16. Gubbins, S., and Gilligan, C. A. 1997. A test of heterogeneous mixing as a mechanism for ecological persistence in disturbed environments. Proc. R. Soc. Lond. Ser. B 264:227-232.
17. Gubbins, S., and Gilligan, C. A. 1997. Biological control in a disturbed environment. Philos. Trans. R. Soc. Lond. Ser. B 352:1935-1949.
18. Hau, B., Amorim, L., and Filho, A. B. 1993. Mathematical functions to describe disease progress curves of double sigmoid pattern. Phytopathology 83:928-932.
19. Hornby, D. 1981. Inoculum. Pages 271-294 in: Biology and Control of Take-all. M. J. C. Asher and P. J. Shipton, eds. Academic Press, New York.
20. Kleczkowski, A., Bailey, D. J., and Gilligan, C. A. 1996. Dynamically generated variability in a plant pathogen system with biological control. Proc. R. Soc. Lond. Ser. B. 263:777-783.
21. Kleczkowski, A., Gilligan, C. A., and Bailey, D. J. 1997. Scaling and spatial dynamics in plant pathogen systems: From individuals to populations. Proc. R. Soc. Lond. Ser. B. 264:979-984.
22. Ross, G. J. S. 1990. Nonlinear Estimation. Springer-Verlag, Heidelberg, Germany.
23. Rupe, J. C., and Gbur, E. E., Jr. 1995. Effect of plant age, maturity group, and environment on disease progress of sudden death syndrome of soybean. Plant Dis. 79:139-143.
24. Scott, P. R. 1969. Effects of nitrogen and glucose on saprophytic survival of Ophiobolus graminis in buried straw. Ann. Appl. Biol. 63:27-36.
25. Shipton, P. J. 1981. Saprophytic survival between susceptible crops. Pages 295-316 in: Biology and Control of Take-all. M. J. C. Asher and P. J. Shipton, eds. Academic Press, New York.
26. Truscott, J. E., Webb, C. R., and Gilligan, C. A. 1998. Asymptotic analysis of an epidemic model with primary and secondary infection. Bull. Math. Biol. 59:1101-1123.
27. Webb, C. R., Gilligan, C. A., and Asher, M. J. C. 1999. A model for the build-up of Polymyxa betae, the vector of rhizomania. Phytopathology 89:30-38.
28. Werker, A. R., Gilligan, C. A., and Hornby, D. 1991. Analysis of shapes of disease progress curves for take-all in consecutive winter wheat crops Plant Pathol. 40:8-25.