Libro de Resúmenes / Book of Abstracts (Español/English)

Resumenes 108
minimizar la necesidad de aplicar controles químicos para mantener la
población de ácaros en niveles aceptables. Esto constituiría un aporte muy
importante en países productores y exportadores de miel y sus derivados,
que deben adaptar las técnicas de control a las rígidas normas
internacionales sobre índices de contaminación.
El sistema de ecuaciones diferenciales para la dinámica del acaro es
el siguiente:
dM
= γ 1D
+ γ 2W
− µ M
dt
dD
D
= r1φ
() t ( 1−
ς ( D ) M ( 1−
) − γ 1D
− µ 1D
dt
K
dW
dt
= r φ
2
() t ς ( D)
M − γ W − µ W.
En este trabajo la función de elección de celda es:
D
ς ( D)
= θ + ξ .
K1
θ + ξ = 1.
Y la función anual de celdas disponibles:
N
∑
i=
0
2
φ ( t)
= Exp(
−α
( t −180
− i365)
).
A model in differential equations to describe the mite Varroa
destructor population dynamic in Apis mellifera colonies.
The aim of this work is describe the population dynamic of Varroa
Destructor, a vector of naturally occurring honeybee viruses such as the
deformed wing virus (DWV) [Martin, Medina]. The female of V. Destructor
remain over the adult bee ( phoretic stage), and as honey bee brood
becomes available, the mites leaves de adult bees to reproduce inside the
bee brood cells [3], which it invades just prior to it being capped [5]. After
14 and 12 days of drone and worker respective cells capped, the mite
mother and her adult female progeny emerge over the developed bee to
begin the life cycle once again [3], [4], [5].
The original host of V. Destructor is Apis Cerana, which have natural
mechanism of defense, like removal of infested brood, limiting the growth of
the mite population. This not occurs in Apis Mellifera, being necessary
human control to avoid the hive collapse.
The model proposed in this work to analyses the mite increase is a
system of differential equations for the mite dynamic with three categories:
the phoretic stage of the mite and two categories considering the mite
brood, in drone and worker cells, with their owns parameters, as
reproduction, developed time and emergent mortality.
2
1
2