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{"target":"https://pubannotation.org/docs/sourcedb/PMC/sourceid/7039910","sourcedb":"PMC","sourceid":"7039910","source_url":"https://www.ncbi.nlm.nih.gov/pmc/7039910","text":"The differential equations of the SEIR model are given as:32,33\\documentclass[12pt]{minimal} \t\t\t\t\\usepackage{amsmath} \t\t\t\t\\usepackage{wasysym} \t\t\t\t\\usepackage{amsfonts} \t\t\t\t\\usepackage{amssymb} \t\t\t\t\\usepackage{amsbsy} \t\t\t\t\\usepackage{mathrsfs} \t\t\t\t\\usepackage{upgreek} \t\t\t\t\\setlength{\\oddsidemargin}{-69pt} \t\t\t\t\\begin{document}$$\\begin{array}{l}{\\mathrm{d}}S/{\\mathrm{d}}t = - {\\beta}\\,{S}\\,{I}/{N},\\\\ {\\mathrm{d}}E/{\\mathrm{d}}t = {\\beta}\\,{S}\\,{I}/{N} - {\\sigma}\\,{E},\\\\ {\\mathrm{d}}I/{\\mathrm{d}}t = {\\sigma}\\,{E} - {\\gamma}\\,{I},\\\\ {\\mathrm{d}}R/{\\mathrm{d}}t = {\\gamma}\\,{I},\\\\ {\\beta} = {R}_{\\mathrm{0}}{\\gamma},\\end{array}$$\\end{document}dS∕dt=−βSI∕N,dE∕dt=βSI∕N−σE,dI∕dt=σE−γI,dR∕dt=γI,β=R0γ,where β is the transmission rate, σ is the infection rate calculated by the inverse of the mean latent period, and γ is the recovery rate calculated by the inverse of infectious 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