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(
10.13
) can be in the unrealized form in
practice. There are many real situations when the realization of H
*
or N
*
system is
impossible. Some tasks and algorithms were described by Krapivin and Klimov
(1995, 1997).
The stochastic solution of Eqs. (
10.1
)
-
10.2.3 Study of the Simple Survivability Model
Let us consider the interaction of the two systems in the frame of diagram shown in
Fig.
10.1
. At the beginning, the systems H and N have, respectively, N
a
(0) and
N
b
(0) working elements, N
Ra
(0) and N
Rb
(0) protective elements, and M
a
(0) and
M
b
(0) active agents for undertaking action against an external medium. In this case,
we shall assume that the initial structures H
S
and N
S
of the systems are uniformly
filled with elements. This means that at the time t = 0 in any sphere with a
xed
radius
สต
, which is completely con
ned within system H, there are constant numbers
of elements.
Speci
c characteristics of all elements can be depending on the solved task. For
example, C
a
and C
b
element can be anthropogenic scenarios and diseases,
respectively. Feedbacks and medicine can be as R
b
and R
a
elements, respectively.
Elements a and b represent life conditions for people and hierarchy of ecological
systems, respectively. Certainly, detailed interpretation of all types of accomplished
elements depend on the spatial-temporal scale and knowledge base.
Fig. 10.1 Schematic diagram of the interaction of nature and humanity in the survivability
problem. Structure of system elements may be changed and added
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