We propose a mathematical model to investigate the current outbreak of the coronavirus disease 2019 (COVID-19) in Wuhan, China. Our model describes the multiple transmission pathways in the infection dynamics, and emphasizes the role of the environmental reservoir in the transmission and spread of this disease. Our model also employs non-constant transmission rates which change with the epidemiological status and environmental conditions and which reflect the impact of the on-going disease control measures. We conduct a detailed analysis of this model, and demonstrate its application using publicly reported data. Among other findings, our analytical and numerical results indicate that the coronavirus infection would remain endemic, which necessitates long-term disease prevention and intervention programs.
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Hassan II Univ Casablanca, Fac Sci Ben MSik, Dept Math & Comp Sci, Lab Anal Modeling & Simulat, BP 7955, Casablanca, MoroccoHassan II Univ Casablanca, Fac Sci Ben MSik, Dept Math & Comp Sci, Lab Anal Modeling & Simulat, BP 7955, Casablanca, Morocco
Kourrad, Ahmed
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Alabkari, Amine
Adnaoui, Khalid
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Hassan II Univ Casablanca, Fac Sci Ben MSik, Dept Math & Comp Sci, Lab Anal Modeling & Simulat, BP 7955, Casablanca, MoroccoHassan II Univ Casablanca, Fac Sci Ben MSik, Dept Math & Comp Sci, Lab Anal Modeling & Simulat, BP 7955, Casablanca, Morocco
Adnaoui, Khalid
Zakary, Omar
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Hassan II Univ Casablanca, Fac Sci Ben MSik, Dept Math & Comp Sci, Lab Anal Modeling & Simulat, BP 7955, Casablanca, MoroccoHassan II Univ Casablanca, Fac Sci Ben MSik, Dept Math & Comp Sci, Lab Anal Modeling & Simulat, BP 7955, Casablanca, Morocco
Zakary, Omar
Tabit, Youssef
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Hassan II Univ Casablanca, Fac Sci Ben MSik, Dept Math & Comp Sci, Lab Anal Modeling & Simulat, BP 7955, Casablanca, MoroccoHassan II Univ Casablanca, Fac Sci Ben MSik, Dept Math & Comp Sci, Lab Anal Modeling & Simulat, BP 7955, Casablanca, Morocco
Tabit, Youssef
Laaroussi, Adil El Alami
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Abdelmalek Essaadi Univ, Higher Normal Sch Tetouan, Lab Appl Sci & Didact, Tetouan, MoroccoHassan II Univ Casablanca, Fac Sci Ben MSik, Dept Math & Comp Sci, Lab Anal Modeling & Simulat, BP 7955, Casablanca, Morocco
Laaroussi, Adil El Alami
Lahmidi, Fouad
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Hassan II Univ Casablanca, Fac Sci Ben MSik, Dept Math & Comp Sci, Lab Anal Modeling & Simulat, BP 7955, Casablanca, MoroccoHassan II Univ Casablanca, Fac Sci Ben MSik, Dept Math & Comp Sci, Lab Anal Modeling & Simulat, BP 7955, Casablanca, Morocco
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Inst Rech Dev, Unit Modelisat Math & Informat Syst Complexes, Paris, FranceInst Rech Dev, Unit Modelisat Math & Informat Syst Complexes, Paris, France
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Hokkaido Univ, Grad Sch Med, Kita Ku, Kita 15 Jo Nishi 7 Chome, Sapporo, Hokkaido 0608638, Japan
Japan Sci & Technol Agcy, CREST, Honcho 4-1-8, Kawaguchi, Saitama 3320012, JapanHokkaido Univ, Grad Sch Med, Kita Ku, Kita 15 Jo Nishi 7 Chome, Sapporo, Hokkaido 0608638, Japan
Nishiura, Hiroshi
Jung, Sung-mok
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Hokkaido Univ, Grad Sch Med, Kita Ku, Kita 15 Jo Nishi 7 Chome, Sapporo, Hokkaido 0608638, JapanHokkaido Univ, Grad Sch Med, Kita Ku, Kita 15 Jo Nishi 7 Chome, Sapporo, Hokkaido 0608638, Japan
Jung, Sung-mok
Linton, Natalie M.
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Hokkaido Univ, Grad Sch Med, Kita Ku, Kita 15 Jo Nishi 7 Chome, Sapporo, Hokkaido 0608638, JapanHokkaido Univ, Grad Sch Med, Kita Ku, Kita 15 Jo Nishi 7 Chome, Sapporo, Hokkaido 0608638, Japan
Linton, Natalie M.
Kinoshita, Ryo
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Hokkaido Univ, Grad Sch Med, Kita Ku, Kita 15 Jo Nishi 7 Chome, Sapporo, Hokkaido 0608638, JapanHokkaido Univ, Grad Sch Med, Kita Ku, Kita 15 Jo Nishi 7 Chome, Sapporo, Hokkaido 0608638, Japan
Kinoshita, Ryo
Yang, Yichi
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Hokkaido Univ, Grad Sch Med, Kita Ku, Kita 15 Jo Nishi 7 Chome, Sapporo, Hokkaido 0608638, JapanHokkaido Univ, Grad Sch Med, Kita Ku, Kita 15 Jo Nishi 7 Chome, Sapporo, Hokkaido 0608638, Japan
Yang, Yichi
Hayashi, Katsuma
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Hokkaido Univ, Grad Sch Med, Kita Ku, Kita 15 Jo Nishi 7 Chome, Sapporo, Hokkaido 0608638, JapanHokkaido Univ, Grad Sch Med, Kita Ku, Kita 15 Jo Nishi 7 Chome, Sapporo, Hokkaido 0608638, Japan
Hayashi, Katsuma
Kobayashi, Tetsuro
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Hokkaido Univ, Grad Sch Med, Kita Ku, Kita 15 Jo Nishi 7 Chome, Sapporo, Hokkaido 0608638, JapanHokkaido Univ, Grad Sch Med, Kita Ku, Kita 15 Jo Nishi 7 Chome, Sapporo, Hokkaido 0608638, Japan
Kobayashi, Tetsuro
Yuan, Baoyin
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Hokkaido Univ, Grad Sch Med, Kita Ku, Kita 15 Jo Nishi 7 Chome, Sapporo, Hokkaido 0608638, JapanHokkaido Univ, Grad Sch Med, Kita Ku, Kita 15 Jo Nishi 7 Chome, Sapporo, Hokkaido 0608638, Japan
Yuan, Baoyin
Akhmetzhanov, Andrei R.
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Hokkaido Univ, Grad Sch Med, Kita Ku, Kita 15 Jo Nishi 7 Chome, Sapporo, Hokkaido 0608638, JapanHokkaido Univ, Grad Sch Med, Kita Ku, Kita 15 Jo Nishi 7 Chome, Sapporo, Hokkaido 0608638, Japan
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Hong Kong Shue Yan Univ, HKSYU Real Estate & Econ Res Lab, Hong Kong 999077, Peoples R ChinaEuropean Univ Cyprus, Sch Sci, Dept Comp Sci & Engn, CY-1516 Nicosia, Cyprus
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Chinese Univ Hong Kong, Prince Wales Hosp, Dept Med & Therapeut, Shatin, Hong Kong, Peoples R ChinaChinese Univ Hong Kong, Prince Wales Hosp, Dept Med & Therapeut, Shatin, Hong Kong, Peoples R China
Hui, David S.
Azhar, Esam I.
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King Abdulaziz Univ, King Fahd Med Res Ctr, Special Infect Agents Unit, Fac Appl Med Sci, Jeddah, Saudi Arabia
King Abdulaziz Univ, Dept Med Lab Technol, Fac Appl Med Sci, Jeddah, Saudi ArabiaChinese Univ Hong Kong, Prince Wales Hosp, Dept Med & Therapeut, Shatin, Hong Kong, Peoples R China
Azhar, Esam I.
Madani, Tariq A.
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King Abdulaziz Univ, Dept Med, Fac Med, Jeddah, Saudi ArabiaChinese Univ Hong Kong, Prince Wales Hosp, Dept Med & Therapeut, Shatin, Hong Kong, Peoples R China
Madani, Tariq A.
Ntoumi, Francine
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Fdn Congolaise Rech Med, Brazzaville, Rep CongoChinese Univ Hong Kong, Prince Wales Hosp, Dept Med & Therapeut, Shatin, Hong Kong, Peoples R China
Ntoumi, Francine
Kock, Richard
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Univ London, Royal Vet Coll, Hawkshead Lane, Hatfield, Herts, EnglandChinese Univ Hong Kong, Prince Wales Hosp, Dept Med & Therapeut, Shatin, Hong Kong, Peoples R China
Kock, Richard
Dar, Osman
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Royal Inst Int Affairs, Chatham House Ctr Global Hlth Secur, London, EnglandChinese Univ Hong Kong, Prince Wales Hosp, Dept Med & Therapeut, Shatin, Hong Kong, Peoples R China
Dar, Osman
Ippolito, Giuseppe
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Lazzaro Spallanzani Natl Inst Infect Dis IRCCS, Rome, ItalyChinese Univ Hong Kong, Prince Wales Hosp, Dept Med & Therapeut, Shatin, Hong Kong, Peoples R China
Ippolito, Giuseppe
Mchugh, Timothy D.
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UCL, Div Infect & Immun, Ctr Clin Microbiol, London, EnglandChinese Univ Hong Kong, Prince Wales Hosp, Dept Med & Therapeut, Shatin, Hong Kong, Peoples R China
Mchugh, Timothy D.
Memish, Ziad A.
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King Saud Med City, Minist Hlth, Res Ctr, Riyadh, Saudi Arabia
Alfaisal Univ, Coll Med, Riyadh, Saudi Arabia
Emory Univ, Rollins Sch Publ Hlth, Hubert Dept Global Hlth, Atlanta, GA 30322 USAChinese Univ Hong Kong, Prince Wales Hosp, Dept Med & Therapeut, Shatin, Hong Kong, Peoples R China
Memish, Ziad A.
Drosten, Christian
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Charite Univ Med Berlin, Berlin, Germany
Free Univ Berlin, Berlin, Germany
Humboldt Univ, Berlin, Germany
Berlin Inst Hlth, Inst Virol, Berlin, Germany
German Ctr Infect Res, Associated Partner Charite, Berlin, GermanyChinese Univ Hong Kong, Prince Wales Hosp, Dept Med & Therapeut, Shatin, Hong Kong, Peoples R China
Drosten, Christian
Zumla, Alimuddin
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UCL, Div Infect & Immun, Ctr Clin Microbiol, London, England
UCL Hosp NHS Fdn Trust, NIHR Biomed Res Ctr, London, EnglandChinese Univ Hong Kong, Prince Wales Hosp, Dept Med & Therapeut, Shatin, Hong Kong, Peoples R China
Zumla, Alimuddin
Petersen, Eskild
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Minist Hlth, Directorate Gen Dis Surveillance & Control, Muscat, Oman
Univ Aarhus, Inst Clin Med, Fac Hlth Sci, Aarhus, DenmarkChinese Univ Hong Kong, Prince Wales Hosp, Dept Med & Therapeut, Shatin, Hong Kong, Peoples R China