Dynamics of SIR model with heterogeneous response to intervention policy

Рачинский, Дмитрий; Rouf, Samiha

doi:10.1016/j.tpb.2022.06.003

Cited by 1 publication

(2 citation statements)

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“…However, under additional natural assumptions, a periodic attractor is not realized in real systems, and the convergence of any trajectory to a finite equilibrium state is ensured. The role of models of population behavior that depend on the current state of the epidemic based on the Preisach model is emphasized in [274]. This work shows that a greater variation in the thresholds of different populations leads to a significant increase in the peak of infection during an epidemic.…”

Section: Biology Medicine and Social Sciencesmentioning

confidence: 98%

“…In a number of papers, the well-known epidemiological model of SIR, in which the population is divided into susceptible, infectious, or recovered (proposed in [270]), has been improved to include the assumption that epidemic history influences its dynamics [271][272][273][274]. Recent work [272] suggests that vaccination rates change in response to epidemic dynamics.…”

Section: Biology Medicine and Social Sciencesmentioning

confidence: 99%

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The Preisach model of hysteresis: fundamentals and applications

Semenov,

Borzunov,

Meleshenko

et al. 2024

Phys. Scr.

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The Preisach model is a well-known model of hysteresis in the modern nonlinear science. This paper provides an overview of works that are focusing on the study of dynamical systems from various areas (physics, economics, biology), where the Preisach model plays a key role in the formalization of hysteresis dependencies. Here we describe the input-output relations of the classical Preisach operator, its basic properties, methods of constructing the output using the demagnetization function formalism, a generalization of the classical Preisach operator for the case of vector input-output relations. Various generalizations of the model are described here in relation to systems containing ferromagnetic and ferroelectric materials. The main attention we pay to experimental works, where the Preisach model has been used for analytic description of the experimentally observed results. Also, we describe a wide range of the technical applications of the Preisach model in such fields as energy storage devices, systems under piezoelectric effect, models of systems with long-term memory. The properties of the Preisach operator in terms of reaction to stochastic external impacts are described and a generalization of the model for the case of the stochastic threshold numbers of its elementary components is given.

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Section: Biology Medicine and Social Sciencesmentioning

confidence: 98%