Hybrid models for the analysis of two types of delayed regulation of aleatoric biophysical processes

Title	Hybrid models for the analysis of two types of delayed regulation of aleatoric biophysical processes
Authors	A. Y. Perevaryukha¹ ¹United Directorate of Taimyr Nature Reserves
Annotation	This paper proposes a generalized development of the author's previously proposed aleatoric method for forming a model of a biophysical process with functional components. During evolution, in a particular situation, a not entirely predetermined choice between developmental options occurs. A nondeterministic choice from a set of antigenic determinants occurs during the development of an immune response to a variable coronavirus. Early aleatorics will determine the varying efficiency of virus binding to antibodies and ultimately explain waves of multiple infections. When refining the model for the development of biophysical counteraction, it is proposed to form the right-hand sides of hybrid equations with two antagonistic components of the delayed counteraction: regulatory and adaptive. The components of the hybrid model are transformed according to a pattern, but at a non-predetermined time. The aleatoric approach is applicable to modeling Taimyr populations.
Keywords	aleatoric model, perturbed equations, COVID immune response models, uncertainty in viral evolution, delayed regulation.
Citation	Perevaryukha A. Y. ''Hybrid models for the analysis of two types of delayed regulation of aleatoric biophysical processes'' [Electronic resource]. Mathematical modeling, numerical methods, and software systems: Collection of materials from the 12th All‑Russian Scientific Youth School‑Seminar named after E. V. Voskresensky (Saransk, July 21–24, 2026). - pp. 179-183. Available at: https://conf.svmo.ru/files/2026/papers/paper100.pdf. - Date of access: 25.09.2026.

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Hybrid models for the analysis of two types of delayed regulation of aleatoric biophysical processes

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