A kinetic model for epidemic spread
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[1] 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..
[2] Johan Bové,et al. Why outbreaks like coronavirus spread exponentially, and how to “flatten the curve” - Washington Post , 2020 .
[3] H. P. Hudson,et al. An application of the theory of probabilities to the study of a priori pathometry.—Part I , 1917 .
[4] W. O. Kermack,et al. A contribution to the mathematical theory of epidemics , 1927 .
[5] R. Illner,et al. The mathematical theory of dilute gases , 1994 .
[6] R. May,et al. Population biology of infectious diseases: Part I , 1979, Nature.
[7] H. Byrne,et al. Mathematical Biology , 2002 .
[8] Carl A. B. Pearson,et al. The effect of control strategies to reduce social mixing on outcomes of the COVID-19 epidemic in Wuhan, China: a modelling study , 2020, The Lancet Public Health.
[9] R. May,et al. Population biology of infectious diseases: Part II , 1979, Nature.
[10] H. Grad. On the kinetic theory of rarefied gases , 1949 .
[11] W. Wagner,et al. Convergence of particle schemes for the Boltzmann equation , 1994 .
[12] M. Pulvirenti,et al. On the validity of the Boltzmann equation for short range potentials , 2013, 1301.2514.
[13] Isabelle Gallagher,et al. From Newton to Boltzmann: Hard Spheres and Short-range Potentials , 2012, 1208.5753.
[14] James D. Murray. Mathematical Biology: I. An Introduction , 2007 .
[15] G. Bird. Molecular Gas Dynamics and the Direct Simulation of Gas Flows , 1994 .
[16] F. Brauer,et al. Mathematical Models in Population Biology and Epidemiology , 2001 .
[17] H. Spohn. Large Scale Dynamics of Interacting Particles , 1991 .
[18] R. Illner,et al. Global validity of the Boltzmann equation for two- and three-dimensional rare gas in vacuum: Erratum and improved result , 1989 .
[19] On the cardinality of collisional clusters for hard spheres at low density , 2020, 2005.09962.
[20] N. Rashevsky,et al. Mathematical biology , 1961, Connecticut medicine.
[21] Jing Zhao,et al. Early Transmission Dynamics in Wuhan, China, of Novel Coronavirus–Infected Pneumonia , 2020, The New England journal of medicine.
[22] M. Pulvirenti,et al. The Boltzmann–Grad limit of a hard sphere system: analysis of the correlation error , 2014, 1405.4676.
[23] C. Graham,et al. Stochastic particle approximations for generalized Boltzmann models and convergence estimates , 1997 .
[24] M. Kac. Foundations of Kinetic Theory , 1956 .
[25] Ryan Denlinger. The Propagation of Chaos for a Rarefied Gas of Hard Spheres in the Whole Space , 2016, 1605.00589.
[26] A Brief Introduction to the Scaling Limits and Effective Equations in Kinetic Theory , 2020, 2005.10679.
[27] O. Lanford. Time evolution of large classical systems , 1975 .
[28] Tetsuro Tsuji,et al. Backward Clusters, Hierarchy and Wild Sums for a Hard Sphere System in a Low-Density Regime , 2014, 1408.6571.
[29] W. Wagner,et al. Stochastic Numerics for the Boltzmann Equation , 2005 .
[30] W. Wagner. A convergence proof for Bird's direct simulation Monte Carlo method for the Boltzmann equation , 1992 .