A comprehensive spatial-temporal infection model
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Assad A. Oberai | Yannis C. Yortsos | Harisankar Ramaswamy | Y. Yortsos | A. Oberai | Harisankar Ramaswamy
[1] C. F. Curtiss,et al. Molecular Theory Of Gases And Liquids , 1954 .
[2] W. F. Wells,et al. On Air-borne Infection. Study II. Droplets and Droplet Nuclei. , 1934 .
[3] Qun Liu,et al. Dynamical behavior of a stochastic multigroup SIR epidemic model , 2019, Physica A: Statistical Mechanics and its Applications.
[4] Fabrizio Croccolo,et al. Spreading of infections on random graphs: A percolation-type model for COVID-19 , 2020, Chaos, Solitons & Fractals.
[5] A. Chaves,et al. A fractional diffusion equation to describe Lévy flights , 1998 .
[6] Stéphane Lafon,et al. Diffusion maps , 2006 .
[7] Noble Jv,et al. Geographic and temporal development of plagues , 1974 .
[8] Cécile Viboud,et al. Spatial Transmission of 2009 Pandemic Influenza in the US , 2014, PLoS Comput. Biol..
[9] Anders Logg,et al. The FEniCS Project Version 1.5 , 2015 .
[10] Felix Sharipov,et al. Ab initio simulation of transport phenomena in rarefied gases. , 2012, Physical review. E, Statistical, nonlinear, and soft matter physics.
[11] Vasilis Z. Marmarelis,et al. Predictive Modeling of Covid-19 Data in the US: Adaptive Phase-Space Approach , 2020, IEEE Open Journal of Engineering in Medicine and Biology.
[12] K. Sreenivasan. Turbulent mixing: A perspective , 2018, Proceedings of the National Academy of Sciences.
[13] N. Rashevsky. Looking at History Through Mathematics. , 1968 .
[14] M. Holmes. Introduction to Perturbation Methods , 1995 .
[15] A. Fokas,et al. Two alternative scenarios for easing COVID-19 lockdown measures: one reasonable and one catastrophic , 2020, medRxiv.
[16] Y. Li,et al. How far droplets can move in indoor environments--revisiting the Wells evaporation-falling curve. , 2007, Indoor air.
[17] Thomas E. Yankeelov,et al. Diffusion–reaction compartmental models formulated in a continuum mechanics framework: application to COVID-19, mathematical analysis, and numerical study , 2020, Computational mechanics.
[18] Benoit B. Mandelbrot,et al. Fractal Geometry of Nature , 1984 .
[19] Kristina Lerman,et al. Unequal impact and spatial aggregation distort COVID-19 growth rates , 2020, Philosophical Transactions of the Royal Society A.
[20] A. Fokas,et al. COVID-19: Predictive Mathematical Models for the Number of Deaths in South Korea, Italy, Spain, France, UK, Germany, and USA , 2020, medRxiv.
[21] H. J.,et al. Hydrodynamics , 1924, Nature.
[22] A. Bensoussan,et al. Asymptotic analysis for periodic structures , 1979 .
[23] A. Bahrampour,et al. Comparison of methods to Estimate Basic Reproduction Number (R0) of influenza, Using Canada 2009 and 2017-18 A (H1N1) Data , 2019, Journal of research in medical sciences : the official journal of Isfahan University of Medical Sciences.
[24] R. May,et al. Population Biology of Infectious Diseases , 1982, Dahlem Workshop Reports.
[25] C. Axness,et al. Three‐dimensional stochastic analysis of macrodispersion in aquifers , 1983 .
[26] Thomas E. Yankeelov,et al. Simulating the spread of COVID-19 via a spatially-resolved susceptible–exposed–infected–recovered–deceased (SEIRD) model with heterogeneous diffusion , 2020, Applied Mathematics Letters.
[27] Rajesh Sharma,et al. Asymptotic analysis , 1986 .
[28] R. Scott. Molecular theory of gases and liquids , 1955 .
[29] Péter Érdi,et al. Mathematical Models of Chemical Reactions: Theory and Applications of Deterministic and Stochastic Models , 1989 .
[30] Andrew M. Stuart,et al. Spectral analysis of weighted Laplacians arising in data clustering , 2022, Applied and Computational Harmonic Analysis.
[31] R. Horrox,et al. Black Death. , 1994, Trends in molecular medicine.
[32] M. K. Mak,et al. Exact analytical solutions of the Susceptible-Infected-Recovered (SIR) epidemic model and of the SIR model with equal death and birth rates , 2014, Appl. Math. Comput..
[33] John W. M. Bush,et al. Violent expiratory events: on coughing and sneezing , 2014, Journal of Fluid Mechanics.
[34] Mohamed A. Helal,et al. Solitons, Introduction to , 2009, Encyclopedia of Complexity and Systems Science.
[35] R. May,et al. Population biology of infectious diseases: Part I , 1979, Nature.
[36] W. O. Kermack,et al. A contribution to the mathematical theory of epidemics , 1927 .
[37] V E Lynch,et al. Front dynamics in reaction-diffusion systems with Levy flights: a fractional diffusion approach. , 2002, Physical review letters.
[38] HighWire Press. Proceedings of the Royal Society of London. Series A, Containing papers of a mathematical and physical character , 1934 .
[39] Rajamani Krishna,et al. Mass Transfer in Multicomponent Mixtures , 2006 .
[40] Angelika Bayer,et al. A First Course In Probability , 2016 .
[41] V. S. Vaidhyanathan,et al. Transport phenomena , 2005, Experientia.
[42] L. Goddard. First Course , 1969, Nature.
[43] R. May,et al. Population biology of infectious diseases: Part II , 1979, Nature.