A generalized differential equation compartmental model of infectious disease transmission
Infectious Disease Modelling, 2021 For decades, mathematical models of disease transmission have provided researchers and public health officials with critical insights into the progression, control, and prevention of disease spread. Of these models, one of the most fundamental is the SIR
Scott Greenhalgh, Carly Rozins
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Finite element methods respecting the discrete maximum principle for convection-diffusion equations [PDF]
arXiv.org, 2022 Convection-diffusion-reaction equations model the conservation of scalar quantities. From the analytic point of view, solution of these equations satisfy under certain conditions maximum principles, which represent physical bounds of the solution.
G. Barrenechea, V. John, P. Knobloch
semanticscholar +1 more source
Selecting a squeeze film damper model for solving problems of gas turbine engine rotor dynamics
Вестник Самарского университета: Аэрокосмическая техника, технологии и машиностроение, 2017 Various standard mathematical squeeze film damper (SFD) models that can be applied for solving rotor dynamics problems of gas turbine engines (GTE) are presently available.
M. K. Leontiev, M. N. Kutakov
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Alexandria Engineering Journal, 2021 In this paper, we present a numerical scheme and mathematical analysis for the famous three-dimensional quadratic autonomous self-govern system that happens to be chaotic with the coexistence of multi-scroll attractors.
D. Mathale +2 more
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Let’s have a coffee with the Standard Model of particle physics!
, 2017 The Standard Model of particle physics is one of the most successful theories in physics and describes the fundamental interactions between elementary particles.
J. Woithe +2 more
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A step-by-step tutorial on active inference and its application to empirical data
Journal of Mathematical Psychology, 2021 The active inference framework, and in particular its recent formulation as a partially observable Markov decision process (POMDP), has gained increasing popularity in recent years as a useful approach for modeling neurocognitive processes.
Ryan Smith +2 more
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Typicality vs. probability in trajectory-based formulations of quantum mechanics [PDF]
, 2007 Bohmian mechanics represents the universe as a set of paths with a probability measure defined on it. The way in which a mathematical model of this kind can explain the observed phenomena of the universe is examined in general.
Bruno Galvan +16 more
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Age- and bite-structured models for vector-borne diseases
Epidemics, 2015 The biology and behaviour of biting insects is a vitally important aspect in the spread of vector-borne diseases. This paper aims to determine, through the use of mathematical models, what effect incorporating vector senescence and realistic feeding ...
K.S. Rock, D.A. Wood, M.J. Keeling
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Task-Driven Adaptive Statistical Compressive Sensing of Gaussian Mixture Models [PDF]
, 2012 A framework for adaptive and non-adaptive statistical compressive sensing is developed, where a statistical model replaces the standard sparsity model of classical compressive sensing.
Carin, Lawrence +3 more
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The Rate-Controlled Constrained-Equilibrium Approach to Far-From-Local-Equilibrium Thermodynamics
Entropy, 2012 The Rate-Controlled Constrained-Equilibrium (RCCE) method for the description of the time-dependent behavior of dynamical systems in non-equilibrium states is a general, effective, physically based method for model order reduction that was originally ...
Hameed Metghalchi +3 more
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