Information Technology Reference
In-Depth Information
,
(
()
)
( )
( )
(
)
(
)
( )
+
=
+
∫
+
ν
+
ν
ν
+
θ
∫
ϕ
σ
σ
−
τ
∈
where
H
R
mxm
, H = H
T
- a symmetric positive-definite matrix,
D = diag {d
i
>0, i = 1,
m}
— a diagonal matrix,
∈
R
+
— a nonnegative number. This algebraic criterion
allows investigating the absolute stability property of stationary set
(1)
and does not
require large amount of computations.
The mathematical description of Computer Immunology System with Variable
Configuration and numerical examples intended for the analysis of strong state or
intrusion state with information security data on the base the presented results have
been created. The application package intended for the solving of aforementioned
tasks has been developed.
Acknowledgments
The authors acknowledge the support of the EOARD under the project 2200 p “De-
velopment of Mathematical Models of Immune Networks Intended for Information
Security Assurance”.
References
1. Ader, R., Felton, D. L., Cohen, N. (ed.): Psychoneuroimmunology
.
V. 1 and 2. Academic
Press, New York, London (2001)
2. Ashimov, A.A., Sokolova, S.P.: Theory of Systems with variable configuration. Almaty,
Gulum, (in Russian) (1995)
3. Yates, A., Bergmann, C., et al.: Cytokine-modulated Regulation of Helper T Cell
Popula-
tions
.
J.theor.Biol.
206
(2000)
539-560
4.
Tarakanov, A.O., Skormin, V.A., Sokolova, S.P.: Immunocomputing: Principles and Appli-
cations. Springer, New York (2003, in press)
