H -Nacci Sequence and Its Role in Virus Mutation

Muflih Alhazmi, Rexma Sherine Venchislas, Gerly Thaniel Gnanamuthu, Chellamani Perumal (), Shreefa O. Hilali, Mashaer Alsaeedi, Avinash Natarajan and Britto Antony Xavier Gnanaprakasam
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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

Mathematics, 2024, vol. 12, issue 17, 1-19

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.

Keywords: ?-Nacci sequence; h-Fibonacci equation; Virus Mutation; Fibonacci risk factor model (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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