Spreading dynamic of acute and carrier hepatitis B with nonlinear incidence

• Tahir Khan,

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

  Affiliation Department of Mathematics, University of Malakand, Chakdara Dir (Lower), Khyber Pakhtunkhawa, Pakistan

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• Gul Zaman ,

  Roles Conceptualization, Formal analysis, Investigation, Methodology, Resources, Supervision, Writing – original draft

  * E-mail: gzaman@uom.edu.pk

  Affiliation Department of Mathematics, University of Malakand, Chakdara Dir (Lower), Khyber Pakhtunkhawa, Pakistan

  http://orcid.org/0000-0001-8281-3432

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• Ali Saleh Alshomrani

  Roles Investigation, Validation, Writing – review & editing

  Affiliation Department of Mathematics, Faculty of Science, King Abdul Aziz University, Jeddah, Saudi Arabia

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