Global dynamics and computational modeling for analyzing and controlling Hepatitis B: A novel epidemic approach

• Muhammad Farhan,

  Roles Data curation, Formal analysis, Investigation, Methodology, Writing – original draft

  Affiliations School of Mathematical Science, Yangzhou University, Yangzhou, China, Department of Mathematics, Abdul Wali Khan University Mardan, Mardan, Khyber Pakhtunkhwa, Pakistan

  https://orcid.org/0000-0002-2235-0015

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• Zahir Shah ,

  Roles Conceptualization, Data curation, Formal analysis, Investigation, Supervision, Validation

  * E-mail: zahir1987@yahoo.com

  Affiliation Department of Mathematical Sciences, University of Lakki Marwat, Lakki Marwat, KPK, Pakistan

  https://orcid.org/0000-0002-5539-4225

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• Zhi Ling,

  Roles Funding acquisition, Investigation, Software, Supervision, Validation, Writing – review & editing

  Affiliation School of Mathematical Science, Yangzhou University, Yangzhou, China

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• Kamal Shah,

  Roles Formal analysis, Methodology, Software, Validation, Writing – original draft

  Affiliations Department of Mathematics and Sciences, Prince Sultan University, Riyadh, Saudi Arabia, Department of Computer Science and Mathematics Lebanese American University, Byblos, Lebanon

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• Thabet Abdeljawad,

  Roles Funding acquisition, Project administration, Software, Supervision, Visualization

  Affiliation Department of Mathematics and Sciences, Prince Sultan University, Riyadh, Saudi Arabia

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• Saeed Islam,

  Roles Formal analysis, Investigation, Resources, Software, Supervision, Validation, Visualization

  Affiliation Department of Mathematics, Abdul Wali Khan University Mardan, Mardan, Khyber Pakhtunkhwa, Pakistan

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• Hakim A. L. Garalleh

  Roles Funding acquisition, Methodology, Software, Writing – original draft

  Affiliation Department of Mathematical Science, College of Engineering, University of Business and Technology, Jeddah, Saudi Arabia

  https://orcid.org/0000-0003-3917-2339

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