Bibliographic Details
| Title: |
On Modeling the Non-Classical Dynamics of Computer Virus Propagation Using a Model with a Generalized Composite Derivative. |
| Authors: |
Bulavatsky, V. M.1 (AUTHOR) v_bulav@ukr.net |
| Source: |
Cybernetics & Systems Analysis. Mar2026, Vol. 62 Issue 2, p269-279. 11p. |
| Subjects: |
Fractional differential equations, Computer viruses, Epidemiological models, Fractional calculus, Nonlinear integral equations, Mathematical models, Quantitative research |
| Abstract: |
The mathematical model of SIRS epidemiological dynamics is generalized to incorporate nonlocal effects in the propagation of computer viruses. The problem of modeling the fractional-differential dynamics of computer viruses using a model with a bi-ordinal, two-type Hilfer derivative with respect to the unknown 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 solving the corresponding nonlinear integral equation. The aspects of qualitative analysis related to this problem are examined. [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
