MONKEYPOX VIRAL TRANSMISSION DYNAMICS AND FRACTIONAL-ORDER MODELING WITH VACCINATION INTERVENTION
Loading...
Date
2023
Authors
Singh, Jaskirat Pal
Kumar, Sachin
Baleanu, Dumitru
Nisar, Kottakkaran Sooppy
Journal Title
Journal ISSN
Volume Title
Publisher
Open Access Color
OpenAIRE Downloads
OpenAIRE Views
Abstract
A current outbreak of the monkeypox viral infection, which started in Nigeria, has spread to other areas of the globe. This affects over 28 nations, including the United Kingdom and the United States. The monkeypox virus causes monkeypox (MPX), which is comparable to smallpox and cowpox (MPXV). The monkeypox virus is a member of the Poxviridae family and belongs to the Orthopoxvirus genus. In this work, a novel fractional model for Monkeypox based on the Caputo derivative is explored. For the model, two equilibria have been established: disease-free and endemic equilibrium. Using the next-generation matrix and Castillo's technique, if R0 < 1 the global asymptotic stability of disease-free equilibrium is shown. The linearization demonstrated that the endemic equilibrium point is locally asymptotically stable if R0 > 1. Using the parameter values, the model's fundamental reproduction rates for both humans and non-humans are calculated. The existence and uniqueness of the solution are proved using fixed point theory. The model's numerical simulations demonstrate that the recommended actions will cause the infected people in the human and non-human populations to disappear.
Description
Keywords
Caputo Fractional Derivative, Existence and Uniqueness, Fixed Point Theory, Fractional Euler's Method, Monkeypox, Next-Generation Matrix, Reproduction Number, Stability Analysis
Turkish CoHE Thesis Center URL
Fields of Science
Citation
Singh, Jaskirat Pal...et al. (2023). "MONKEYPOX VIRAL TRANSMISSION DYNAMICS AND FRACTIONAL-ORDER MODELING WITH VACCINATION INTERVENTION", Fractals, Vol. 31, No. 10.
WoS Q
Scopus Q
Source
Fractals
Volume
31
Issue
10