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H -Nacci Sequence and Its Role in Virus Mutation

Author

Listed:
  • Muflih Alhazmi

    (Mathematics Department, Faculty of Science, Northern Border University, Arar 73222, Saudi Arabia)

  • Rexma Sherine Venchislas

    (Department of Mathematics, Sacred Heart College, Tirupattur 635601, Tamil Nadu, India)

  • Gerly Thaniel Gnanamuthu

    (Department of Mathematics, Sacred Heart College, Tirupattur 635601, Tamil Nadu, India)

  • Chellamani Perumal

    (Department of Mathematics, St. Joseph’s College of Engineering, Old Mahabalipuram Road, Chennai 600119, Tamil Nadu, India)

  • Shreefa O. Hilali

    (Department of Mathematics, College of Sciences and Arts (Majardah), King Khalid University, Magardah 61937, Saudi Arabia)

  • Mashaer Alsaeedi

    (Department of Mathematics, College of Science and humanity, Prince Sattam Bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia)

  • Avinash Natarajan

    (Department of Mathematics, Sacred Heart College, Tirupattur 635601, Tamil Nadu, India)

  • Britto Antony Xavier Gnanaprakasam

    (Department of Mathematics, Sacred Heart College, Tirupattur 635601, Tamil Nadu, India)

Abstract

In this research, we proposed a new concept called as the H -Nacci sequence. The H -Nacci sequence (Fibonacci sequences of length h ) is a collection of numbers developed from the coefficients of the generalized m -th Fibonacci equation. After that, we determined the golden ratio for each type of H -Nacci sequence, which also coincided with an existing Fibonacci sequence. As each Fibonacci sequence has a unique advantage, first of all, we have applied the H -Nacci sequence to the virus mutation process to show the key benefits of the H -Nacci sequence, and then we found the Fibonacci risk model to analyze the risk factor of each mutant virus using the H -Nacci sequence.

Suggested Citation

  • Muflih Alhazmi & Rexma Sherine Venchislas & Gerly Thaniel Gnanamuthu & Chellamani Perumal & Shreefa O. Hilali & Mashaer Alsaeedi & Avinash Natarajan & Britto Antony Xavier Gnanaprakasam, 2024. "H -Nacci Sequence and Its Role in Virus Mutation," Mathematics, MDPI, vol. 12(17), pages 1-19, August.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:17:p:2695-:d:1467134
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    References listed on IDEAS

    as
    1. Pavel Trojovský, 2019. "On Terms of Generalized Fibonacci Sequences which are Powers of their Indexes," Mathematics, MDPI, vol. 7(8), pages 1-10, August.
    2. Adalberto García-Máynez & Adolfo Pimienta Acosta, 2016. "A Method to Construct Generalized Fibonacci Sequences," Journal of Applied Mathematics, Hindawi, vol. 2016, pages 1-6, February.
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