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Virol."},{"issue":"4","key":"10.1016\/j.jtbi.2025.112280_bib0077","doi-asserted-by":"crossref","first-page":"1475","DOI":"10.11948\/20210300","article-title":"Structural and practical identifiability analyses on the transmission dynamics of COVID-19 in the United States","volume":"12","author":"Wu","year":"2022","journal-title":"JAAC"},{"issue":"2","key":"10.1016\/j.jtbi.2025.112280_bib0078","doi-asserted-by":"crossref","first-page":"330","DOI":"10.1109\/TAC.2002.808494","article-title":"Identifiability of nonlinear systems with application to hiv\/aids models","volume":"48","author":"Xia","year":"2003","journal-title":"IEEE Trans. Autom. Contr."},{"issue":"11","key":"10.1016\/j.jtbi.2025.112280_bib0079","doi-asserted-by":"crossref","first-page":"2870","DOI":"10.1002\/jmv.26163","article-title":"The epidemiology and clinical characteristics of co-infection of SARS-Cov-2 and influenza viruses in patients during COVID-19 outbreak","volume":"92","author":"Yue","year":"2020","journal-title":"J. Med. Virol."},{"key":"10.1016\/j.jtbi.2025.112280_bib0080","series-title":"A Joint Compartmental Model for The Co-infection of SARS-CoV-2 and Influenza","author":"Zafarnejad","year":"2022"},{"issue":"1","key":"10.1016\/j.jtbi.2025.112280_bib0081","article-title":"The impact of coinfections and their simultaneous transmission on antigenic diversity and epidemic cycling of infectious diseases","volume":"2014","author":"Zhang","year":"2014","journal-title":"Biomed. Res. 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