System inference for the spatio-temporal evolution of infectious diseases: Michigan in the time of COVID-19
COMPUTATIONAL MECHANICS
Authors: Wang, Z.; Zhang, X.; Teichert, G. H.; Carrasco-Teja, M.; Garikipati, K.
Abstract
We extend the classical SIR model of infectious disease spread to account for time dependence in the parameters, which also include diffusivities. The temporal dependence accounts for the changing characteristics of testing, quarantine and treatment protocols, while diffusivity incorporates a mobile population. This model has been applied to data on the evolution of the COVID-19 pandemic in the US state of Michigan. For system inference, we use recent advances; specifically our framework for Variational System Identification (Wang et al. in Comput Methods Appl Mech Eng 356:44-74, 2019;[cs.CE]) as well as Bayesian machine learning methods.
METHOD OF BOUNDARY STATES IN PROBLEMS OF INTERACTIONS OF TWO CAVITIES
INTERNATIONAL TRANSACTION JOURNAL OF ENGINEERING MANAGEMENT & APPLIED SCIENCES & TECHNOLOGIES
Authors: Polikarpov, M., V; Penkov, V. B.
Abstract
The paper deals with the formed stress-strain condition of mass resulting from the interaction of two spherical cavities taking into account physical singularity, with variations in intra-cavity pressure and dependence of strength characteristics on the distance between cavities. Singularity was taken into account due to the use of special solutions of the expansion center type when organizing the method of boundary states. The strength reserve factors were calculated. The results of the numerical-analytical solution are presented in graphical form. Disciplinary: Engineering Mechanics (Modeling & Simulation) (c) 2020 INT TRANS J ENG MANAG SCI TECH.