Journal
SYMMETRY-BASEL
Volume 14, Issue 12, Pages -Publisher
MDPI
DOI: 10.3390/sym14122545
Keywords
monkeypox virus; mathematical model; fuzzy fractional differential equation; Caputo's differential equation; generalized model
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Funding
- Deanship of Scientific Research at King Khalid University
- [1/277/43]
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The main objective of this study is to develop a fuzzy fractional mathematical model to examine the dynamics of monkeypox viral transmission. The proposed model consists of human and rodents individuals and is mathematically formulated using fuzzy fractional differential equations. Results demonstrate the effectiveness of keeping diseased rodents apart from the human population in reducing the spread of the disease.
The main objective of this work is to develop the fuzzy fractional mathematical model that will be used to examine the dynamics of monkeypox viral transmission. The proposed dynamical model consists of human and rodents individuals and this monkeypox infection model is mathematically formulated by fuzzy fractional differential equation defined in Caputo's sense. We provide results that demonstrate the existence and uniqueness of the considered model's solution. We observe that our results are accurate, and that our method is applicable to the fuzzy system of fractional ordinary differential equations (ODEs). Furthermore, this monkeypox virus model has been identified as a generalization of SEIQR and SEI models. The results show that keeping diseased rodents apart from the human population reduces the spread of disease. Finally, we present brief discussions and numerical simulations to illustrate our findings.
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