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<p>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.</p>

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On Modeling the Non-Classical Dynamics of Computer Virus Propagation Using a Model with a Generalized Composite Derivative

  • 期刊论文

  • 发表日期：

    2026年3月1日

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  • V. M. Bulavatsky

摘要

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.