Hyers Ulam stability and bifurcation control of leptospirosis disease dynamics and preventations: Modeling with singular and non-singular kernels

• Muhammad Farman,

  Roles Formal analysis, Investigation, Validation

  Affiliations Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon, Faculty of Arts and Science, Department of Mathematics, Near East University, Nicosia North Cyprus, Turkey

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• Aqeel Ahmad ,

  Roles Conceptualization, Methodology, Supervision

  * E-mail: aqeelahmad.740@gmail.com

  Affiliations Department of Mathematics, Ghazi University, D. G. Khan, Dera Ghazi Khan, Pakistan, Mathematics Research Center, Near East University, Nicosia North Cyprus, Turkey

  https://orcid.org/0000-0002-7754-9355

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• Usama Atta,

  Roles Methodology, Software, Writing – original draft

  Affiliation Department of Mathematics, Ghazi University, D. G. Khan, Dera Ghazi Khan, Pakistan

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• Kottakkaran Sooppy Nisar,

  Roles Conceptualization, Investigation, Visualization

  Affiliation Department of Mathematics, College of Science and Humanities, Prince Sattam bin Abdulaziz University, Al Kharj, Saudi Arabia

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• Abdul Ghaffar

  Affiliation Department of Mathematics, Ghazi University, D. G. Khan, Dera Ghazi Khan, Pakistan

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