Ph.D. Shylina
M.V., Maltanava H.M., Shylin* K.A.
Vitebsk State
University, Vitebsk State Medical University*
The
application of logistic models of a interspecific competition during training
for biologists and ecologists
There is a
simulation model of ecological study has been developed for examination of life
activity of two populations which are found
to be in the relations
"predator-prey". The ecological system, which is consist of the
populations of lynx and rabbits was the
object of investigation.
This
choice is motivated by the fact that such models are described in the
scientific literature and a product obtained during the design work can be used
in the training process. The equation
for balance between the number of born and perishing animals can be described by differential equations of second order.
The
program allows to estimate a period of vibration in number of predators and
preys by chanching of population parameters.
During
progress of work the students were
offered to do the following tasks:
1. To
analyze the behavior of the system under different parameters ε, r, s.
2. To
write down the variation of x (t) for given parameters ε, r, s.
3. To
graph x (t). The curves for each
parameter should be represented in one
figure.
4. To
Evaluate characteristic values of the process:
a)
compare a stationary value Xconst. with
calculation data Hconst = ε / D.
To
graph Hconst (ε), Hconst
(D)
To
analyze the behavior of the system durind alteration of the initial number of
specimens X0
Draw a
conclusion.
Fig.1. The
program interface "Model Volterra"
After creation of the model and
work with it the following conclusions can be drown.
1. It is possible to carry out research in given
model with a
certain degree of approximation
to the real process.
2. This model can
be used in the classroom for Ecology
and as demonstrative material during the classes of
informatics.