Scaled Conjugate Gradient for the Numerical Simulations of the Mathematical Model-Based Monkeypox Transmission

• Published in: Fractal and fractional Vol. 7; no. 1; p. 63
• Main Authors: Suantai, Suthep, Sabir, Zulqurnain, Umar, Muhammad, Cholamjiak, Watcharaporn
• Format: Journal Article
• Language: English
• Published: Basel MDPI AG 01.01.2023
• Subjects: Artificial intelligence; Calculus; Computer simulation; Disease; Error analysis; fractional; Fractional calculus; Histograms; Human monkeypox; Infections; Mathematical models; Monkeypox; monkeypox virus system; Monkeys & apes; Neural networks; Nonlinear dynamics; Numerical analysis; numerical solutions; Rodents; scaled conjugate gradient; Simulation; Simulation methods; Smallpox; Viruses
• DOI: 10.3390/fractalfract7010063
• ISSN: 2504-3110

The current study presents the numerical solutions of a fractional order monkeypox virus model. The fractional order derivatives in the sense of Caputo are applied to achieve more realistic results for the nonlinear model. The dynamics of the monkeypox virus model are categorized into eight classes, namely susceptible human, exposed human, infectious human, clinically ill human, recovered human, susceptible rodent, exposed rodent and infected rodent. Three different fractional order cases have been presented for the numerical solutions of the mathematical monkeypox virus model by applying the stochastic computing performances through the artificial intelligence-based scaled conjugate gradient neural networks. The statics for the system were selected as 83%, 10% and 7% for training, testing and validation, respectively. The exactness of the stochastic procedure is presented through the performances of the obtained results and the reference Adams results. The rationality and constancy are presented through the stochastic solutions together with simulations based on the state transition measures, regression, error histogram performances and correlation.