Modeling of the invasion of a fungal disease over a vineyard

Modeling and Simulation in Science, Engineering and Technology

Volumn , Issue 9780817645557, 2008, Pages 11-21

  Burie, Jean Baptiste ^a   Calonnec, Agnès ^b   Langlais, Michel ^a  

^a UNIVERSITÉ BORDEAUX 1   (France)

^b CEMAGREF   (France)

Author keywords

diffusion; dispersal; large time behavior; SEIR model

Indexed keywords

EID: 43749116677     PISSN: 21643679     EISSN: 21643725     Source Type: Book Series    
DOI: 10.1007/978-0-8176-4556-4_2     Document Type: Chapter

References (13)

1. Bailey, N. T. J.: The Mathematical Theory of Infectious Disease and Its Applications. Second edition, Hafner Press, New York (1975).
2. Blaise, P., Gessler, C.: An extended Progeny Parent Ratio Model. 1. Theoretical Development, Journal of Phytopathology—Phytopathologische Zeitschrift, 134, 39–52 (1992).
3. Brauer, F., Castillo-Chavez, C.: Mathematical Models in Population Biology and Epidemiology, Texts in Applied Mathematics 40. Springer-Verlag, Berlin, Heidelberg, New York (2001).
4. Calonnec, A., Cartolarao, P., Deliere, L., Chadoeuf, J.: Powdery mildew on grapevine: the date of primary contamination affects disease development on leaves and damage on grape. IOBC/wbrs Bulletin, 29(11), 67–73 (2006).
5. Calonnec, A., Latu, G., Naulin, J., Roman, J., Tessier, G.: Parallel Simulation of the Propagation of Powdery Mildew in a Vineyard. Proceedings of Euro-Par 2005, Lecture Notes in Computer Science, 3648, 1254–1264 (2005).
6. Clark, J. S., Fastie, C., Hurtt, G., et al.: Reid’s paradox of rapid plant migration. Bioscience, 48, 13–24 (1998).
7. Henry, D.: Geometric Theory of Semilinear Parabolic Equations, Lecture Notes in Mathematics 840. Springer-Verlag, Berlin, Heidelberg, New York (1981).
8. Peyrard, N., Calonnec, A., Bonnot, F., Chadoeuf, J.: Explorer un jeu de données sur grille par tests de permutation. Revue Statistique Applique, LIII, 59–78 (2005).
9. Segarra, J., Seger, M. J., van den Bosch, F.: Epidemic dynamics and patterns of plant diseases. Phytopathology, 91, 1001–1010 (2001).
10. Shigesada, N., Kawasaki, K.: Biological Invasions: Theory and Practice. Oxford Series on Ecology and Evolution. Oxford University Press, Oxford (1997).
11. Shigesada, N., Kawasaki, K.: Invasion and the range expansion of species: effects of longdistance dispersal. In: Bullock, J., Kenward, R., Hails, R. (eds) Dispersal Ecology, 350–373, Blackwell Science, Malden, MA (2002).
12. Vanderplank, J. E.: Plant Diseases: Epidemics and Control. Academic Press, New York (1963).
13. Zawolek, M. W., Zadoks, J. C.: Studies in focus development: an optimum for the dual dispersal of plant pathogens. Phytopathology, 82, 1288–1297 (1992).