PMC:7047374 / 10084-11356 JSONTXT

{"target":"https://pubannotation.org/docs/sourcedb/PMC/sourceid/7047374","sourcedb":"PMC","sourceid":"7047374","source_url":"https://www.ncbi.nlm.nih.gov/pmc/7047374","text":"Therefore, the BHRP model was simplified as RP model and is shown as follows: \\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}$$ \\left\\{\\kern0.5em \\begin{array}{c}\\frac{d{S}_P}{dt}={\\varLambda}_P-{m}_P{S}_P-{\\beta}_P{S}_P\\left({I}_P+\\upkappa {A}_P\\right)-{\\beta}_W{S}_PW\\kern11em \\\\ {}\\frac{d{E}_P}{dt}={\\beta}_P{S}_P\\left({I}_P+\\upkappa {A}_P\\right)+{\\beta}_W{S}_PW-\\left(1-{\\delta}_P\\right){\\upomega}_P{E}_P-{\\delta}_P{\\upomega}_P^{\\prime }{E}_P-{m}_P{E}_P\\kern0.5em \\\\ {}\\frac{d{I}_P}{dt}=\\left(1-{\\delta}_P\\right){\\upomega}_P{E}_P-\\left({\\gamma}_P+{m}_P\\right){I}_P\\kern16.5em \\\\ {}\\frac{d{A}_P}{dt}={\\delta}_P{\\upomega}_P^{\\prime }{E}_P-\\left({\\gamma}_P^{\\prime }+{m}_P\\right){A}_P\\kern18.75em \\\\ {}\\frac{d{R}_P}{dt}={\\gamma}_P{I}_P+{\\gamma}_P^{\\prime }{A}_P-{m}_P{R}_P\\kern20em \\\\ {}\\frac{dW}{dt}={\\mu}_P{I}_P+{\\mu}_P^{\\prime }{A}_P-\\varepsilon W\\kern20.5em \\end{array}\\right. 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