Modeling of Oscillations in Transient Biophysical Processes with Induced Quantum Excitation

Abstract

The article proposes methods for modeling processes during the propagation of perturbations in heterogeneous and evolving contact media based on physical analogies. Waves from impulsive perturbations possessing entropy and the quantum uncertainty effect draw biophysical systems out of balance and disrupt homeostasis mechanisms. To describe variants with the generation of nonlinear trigger and threshold effects, we propose original methods of scenario modeling for situations based on analysis of patterns of differences in dynamics. Transient spatial processes are accompanied by peak forms of activity. Due to the internal co-evolution of counterparties, rare sporadic maxima alternate with long-term minima of intensity; therefore, the peaks of process activity appear unexpected. Sudden surges act very differently in biophysical systems with adaptive resistance and in network social communications. The bursts often appear random and unrelated. We have modeled the intermittent activity of a long-term epidemic process, invasion, or information hype divided into several stages. The nonstationarity of oscillations is demonstrated by a comparison of a series of COVID-19 epidemic waves in the United States, Japan, and Australia. We have shown that rapid impulsive effects of triggering transient oscillatory processes are realized similarly in many situations and for different phenomena. It is noted that wave attenuation and staging are qualitatively different. Series of peaks are observed during epidemic bursts of influenza and waves of coronavirus infections, recurrent infectious diseases, aggressive invasions of aliens, and information attacks on telecommunications systems, but the situations end differently. The periodic destruction of their habitat creates a cyclical pattern in the populations of Taimyr’s mammals. Invasive species develop a series of alternating transient regimes with activity surges and damped population oscillations, and their dynamics are often similar to a series of COVID waves. The article confirms that COVID-19 wave attenuation scenarios in different regions are classified into several different types. It is rational to model the coronavirus pandemia as a description of successively changing regional spread modes. We propose to classify change scenarios and assess the likelihood of their implementation. The approach is developed based on particular model scenarios, which can include control logic and regulation algorithms. We are developing a modeling methodology based on hybrid redefinable computing structures. Methods for forming a model for analysis of crisis oscillating biophysical processes such as epidemics or biological invasions must imply the eventful nature of changes in their dynamic regimes. We take into account the ability to transform the characteristics of oscillations. Several variants of models for triggering impulsive processes with properties that are not preserved in time are considered based on equations with stochastically perturbed delay. We form the structure of our model from sets of possible functions of three types, corresponding to the activation of the impulsive process, the resistance of the medium, and the damping of waves. Uncontrolled effects are realized by including a random variable to perturb the delay in the equations. In the model scenarios, quantum algorithmic regulation and controlled external influence are introduced. When the process conditions change, the model responds by replacing the nonlinearity of the regulation functions with an event-driven change according to the situational scenario of changes. Using the method of redefining nonlinear functions in the system over a series of time quanta, we model epidemic waves, the formation of an immune response, invasive outbreaks, and crises. The models allow one to estimate the effect of a wave of indignation in social communications and the effectiveness of bots in influencing sudden aggressive behavior in online world.