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This article is cited in 1 scientific paper (total in 1 paper)
Stochastic model of movement of a group of individuals in a space with boundaries taking into account their social behavior
I. V. Derevich, A. A. Panova Moscow State Technical University by N.E. Bauman (BMSTU)
Abstract:
A stochastic model of random movement of a small group of individuals in a confined
space with internal obstacles is proposed. The social behavior of individuals in the group
is taken into account, which reduces the likelihood of their close physical contact and
collisions with internal obstacles. The equations of motion of individuals are written in
the form of a system of ordinary stochastic differential equations (SODE). The direction
and speed of the desired movement of an individual are described by a random process
structured in time. The social behavior and interaction of individuals with obstacles is
modeled by effective potential. The SODE system is integrated based on modified
Runge–Kutta algorithms. Examples are given of the movement of a small group in a
closed gallery with columns in poor visibility conditions, during evacuation from the gallery in case of panic. The viral infection scenario is illustrated by a reduction in the relative distance between an infected individual and susceptible group members.
Keywords:
stochastic ordinary differential equations, modified Runge–Kutta algorithm, social dynamics model, color random process, viral infection.
Received: 01.03.2023 Revised: 01.03.2023 Accepted: 17.04.2023
Citation:
I. V. Derevich, A. A. Panova, “Stochastic model of movement of a group of individuals in a space with boundaries taking into account their social behavior”, Matem. Mod., 35:6 (2023), 51–62; Math. Models Comput. Simul., 15:6 (2023), 1084–1091
Linking options:
https://www.mathnet.ru/eng/mm4470 https://www.mathnet.ru/eng/mm/v35/i6/p51
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Abstract page: | 121 | Full-text PDF : | 12 | References: | 19 | First page: | 7 |
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