Time scales of inoculum production and the dynamics of the epidemic

Phytopathology

Volumn 102, Issue 8, 2012, Pages 728-732

  Ferrandino, Francis J ^a  

^a Northeast Regional Center for Excellence in Vector Borne Diseases   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

LETTER; PLANT DISEASE; THEORETICAL MODEL; TIME;

MODELS, THEORETICAL; PLANT DISEASES; TIME FACTORS;

EID: 84865429293     PISSN: 0031949X     EISSN: None     Source Type: Journal    
DOI: 10.1094/PHYTO-03-12-0051-LE     Document Type: Letter

References (30)

1. Bashi, E., and Aust, H. J. 1980. Quality of spores produced in cucumber powdery mildew compensate for their quantity. Z. Pflanzenkrankh. Pflanzenschutz 87:594-599.
2. Cohen, Y., and Rotem, J. 1971. Rate of lesion development in relation to sporulating potential of Pseudoperonospora cubensis in cucumber. Phytopathology 61:265-268.
3. Cunniffe, N. J., Stutt, R. O. J. H., van den Bosch, F., and Gilligan, C. A. 2012. Time-dependent infectivity and flexible latent and infectious periods in compartmental models of plant disease. Phytopathology 102:365-380.
4. Dublin, L. I., and Lotka, A. J. 1925. On the true rate of natural increase. J. Am. Stat. Assoc. 20:151:305-339.
5. Ferrandino, F. J. 2008. The effect of crop growth and canopy filtration on the dynamics of plant disease epidemics spread by aerially dispersed spores. Phytopathology 98:492-503.
6. Heagle A. S., and Moore, M. B. 1970. Some effects of moderate adult plant resistance to crown rust of oats. Phytopathology 60:461-466.
7. Kato, H., and Kozaka, T. 1974. Effect of temperature on lesion enlargement and sporulation of Pyricularia oryzae on rice leaves. Phytopathology 64:828-830.
8. Kermack, W. O., and McKendrick, A. G. 1927. A contribution to the mathematical theory of epidemics. Proc. R. Soc. A 115:700-721.
9. Leonard, K. J., and Mundt, C. C. 1984. Methods for estimating epidemiological effects of quantitative resistance to plant diseases. Theor. Appl. Genet. 67:219-230.
10. Lewontin, R. C. 1965. Selection for colonizing ability. Pages 77-91 in: Genetics of Colonizing Species. H. G. Baker and G. L. Stebbins, eds. Academic Press, London, New York.
11. Lotka, A. J. 1907. Studies on the mode of growth of material aggregates. Am. J. Sci. Ser. 4 Vol. 24:199-216.
12. Lotka, A. J. 1922. The stability of the normal age distribution. Proc. Natl. Acad. Sci. USA 8:11:339-345.
13. Lotka, A. J. 1928. The progeny of a population element. Am. J. Epidemiol. 8:6:875-901.
14. Lotka, A. J. 1929. Biometric functions in a population growing in accordance with a prescribed law. Proc. Nat. Acad. Sci. USA 15:10:793- 798.
15. Lotka, A. J. 1939. On an integral equation in population analysis. Ann. Math. Stat. 10:2:144-161.
16. Lotka, A. J. 1942. The progeny of an entire population. Ann. Math. Stat. 13:117-118.
17. McGregor, A. J., and Manners, J. G. 1985. The effect of temperature and light intensity on growth and sporulation of Puccinia striiformis on wheat. Plant Pathol. 34:263-271.
18. Meats, A. 1971. The relative importance to population increase of fluctuations in mortality, fecundity and the time variables of the reproductive schedule. Oecologia 6:223-237.29.
19. Mehta Y. R., and Zadoks, J. C. 1977. Uredospore production and sporulation period of Puccinia recondita f. sp. triticina on primary leaves of wheat. Neth. J. Plant Pathol. 76:267-276.
20. Metz, J. A. J. 1978. The epidemic in a closed population with all susceptibles equally vulnerable: some results for large susceptible populations and small initial infections. Acta Biotheor. 27:75-123.
21. Metz, J. A. J., and Diekmann, O. 1986. The Dynamics of Physiologically Structured Populations. Lecture Notes in Biomathematics 68. Springer- Verlag, Berlin.
22. Painter, P. R., and Marr, A. G. 1967. Inequality of mean interdivision time and doubling time. J. Gen. Microbiol. 48:155-159.
23. Papastamati, K., and van den Bosch, F. 2007. The sensitivity of the epidemic growth rate to weather variables, with an application to yellow rust on wheat. Phytopathology 97:202-210.
24. Pielou, E. C. 1969. Pages 45-48 in: An Introduction to Mathematical Ecology. John Wiley and Sons, New York.
25. Savary, S., De Jong, P. D., Rabbinge, R, and Zadoks, J. C. 1990. Dynamic simulation of groundnut rust: a preliminary model. Agric. Syst. 32:113- 141.
26. Segarra, J., Jeger, M. J., and van den Bosch, F. 2001. Epidemic dynamics and patterns of plant diseases. Phytopathology 91:1001-1010.
27. Teng, P. S., and Close, R. C. 1978. Effect of temperature and uredinium density on urediniospore production, latent period, and infectious period of Puccinia hordei Otth. N. Z. J. Agric. Res. 21:282-296.
28. Vanderplank, J. E. 1963. Plant Disease: Epidemics and Control. Academic Press, Inc., New York.
29. Vanderplank, J. E. 1965. Dynamics of epidemics of plant disease. Science 147:120-124.
30. Vanderplank, J. E. 1975. Principles of Plant Protection. Academic Press Inc., New York.