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Mathematical
modeling tendencies in plant pathology
L. M. Contreras-Medina1,2,
I. Torres-Pacheco1,
R. G. Guevara-González1,
R. J. Romero-Troncoso2,
I. R. Terol-Villalobos3
and R. A. Osornio-Rios2*
1Laboratorio
de Biosistemas, División de Estudios de Posgrado, Facultad
de Ingeniería, Universidad Autónoma de Querétaro, Cerro de
las Campanas s/n, C.P. 76010, Querétaro, Qro., México.
2HSPdigital
CA Mecatrónica, Facultad de Ingeniería, Campus San Juan del
Río, Universidad Autónoma de Querétaro, Querétaro, Qro.
México.
3Centro
de Investigación Desarrollo Tecnológico en Electroquímica,
Parque Tecnológico Querétaro, Sanfandila-Pedro Escobedo, C.P.
76700-APDO 064, Querétaro, Qro. México.
*Corresponding author. E-mail:
raosornio@hspdigital.org. Tel: +52-427-274-12-44. Fax:
+52-427-274-12-44.
Accepted 11 December, 2009 |
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Nowadays plant diseases represent one of the major threats
for crops around the world, because they carry healthy,
economical, environmental and social problems. Considering
this, it is necessary to have a description of the dynamics
of plant disease in order to have sustainable strategies to
prevent and diminish the impact of the diseases in crops.
Mathematical tools have been employed to create models which
give a description of epidemic dynamics; the commonly
mathematical tools used are: Disease progress curves, Linked
Differential Equation (LDE), Area Under disease Progress
Curve (AUDPC) and computer simulation. Nevertheless, there
are other tools that have been employed in epidemiology of
plant disease like: statistical tools, visual evaluations
and pictorial assessment. Each tool has its own advantages
and disadvantages. The nature of the problem and the
epidemiologist necessities determine the mathematical tool
to be used and the variables to be included into the model.
This paper presents review of the tools used in epidemiology
of plant disease remarking their advantages and
disadvantages and mathematical modeling tendencies in plant
pathology.
Key words:
Plant disease epidemics, mathematical modeling, disease
progress curves, area under disease progress curve, linked
differential equation. |
