DOI
10.34229/KCA2522-9664.26.2.8
UDC 517.9: 519.6
V.M. Bulavatsky
V.M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine,
Kyiv, Ukraine,
v_bulav@ukr.net
ON MODELING NON-CLASSICAL DYNAMICS OF COMPUTER VIRUSES PROPAGATION
BASED ON THE MODEL WITH A GENERALIZED COMPOSITE DERIVATIVE
Abstract. The mathematical model of the epidemiological dynamics of SIRS is generalized to the case of nonlocal effects in the dynamics of computer viruses.
The problem of modeling the fractional-differential dynamics of computer viruses with respect to a model with bi-ordinal two-type
Hilfer’s derivative regarding the sought functions is considered. The problem with the final condition for a nonlinear fractional differential equation
with a bi-ordinal two-type derivative is formulated and reduced to the solution of the corresponding nonlinear integral equation. The issues of qualitative analysis of this problem are studied.
Keywords: mathematical modeling, computer virus dynamics, fractional-differential mathematical model, bi-ordinal two-type Hilfer’s derivative, nonlinear problem, final condition, qualitative analysis.
full text
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