Browsing by Author "Jose, Sayooj Aby"

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Citation - WoS: 12
Citation - Scopus: 12
Computational dynamics of a fractional order substance addictions transfer model with Atangana-Baleanu-Caputo derivative
(Wiley, 2023) Baleanu, Dumitru; Jose, Sayooj Aby; Ramachandran, Raja; Alzabut, Jehad; Baleanu, Dumitru; Panigoro, Hasan S.; Alzabut, Jehad; Balas, Valentina E.; 56389; Matematik
In this paper, the ABC fractional derivative is used to provide a mathematical model for the dynamic systems of substance addiction. The basic reproduction number is investigated, as well as the equilibrium points' stability. Using fixed point theory and nonlinear analytic techniques, we verify the theoretical results of solution existence and uniqueness for the proposed model. A numerical technique for getting the approximate solution of the suggested model is established by using the Adams type predictor-corrector rule for the ABC-fractional integral operator. There are several numerical graphs that correspond to different fractional orders. Furthermore, we present a numerical simulation for the transmission of substance addiction in two scenarios with fundamental reproduction numbers greater than and fewer than one.
Citation - WoS: 19
Citation - Scopus: 21
Mathematical modeling of chickenpox in Phuket: Efficacy of precautionary measures and bifurcation analysis
(Elsevier Sci Ltd, 2023) Jose, Sayooj Aby; Baleanu, Dumitru; Raja, R.; Dianavinnarasi, J.; Baleanu, D.; Jirawattanapanit, A.; 56389; Matematik
In this paper, a mathematical model depicting the transmission dynamics of Chickenpox is developed by incorporating a new parameter denoting the rate of precautionary measures. The influence and the importance of following precautionary measures are showed by applying the real data collected at Phuket province, Thailand. The model analysis such as positivity and boundedness of the solutions are provided. The rate of precaution for the spread the of chickenpox was a factor that influenced the basic reproductive number, which was calculated using the next-generation matrix approach. The model's equilibrium points are identified, and the condition for the disease-free equilibrium's local and global asymptotic stability is established. The model also shows forward bifurcation. Numerical simulation is carried out to show the importance of considering the precautionary measures while controlling the disease spread and the influence of those introduced parameters are depicted graphically. Though our results, we concluded that the rate of precautionary measures plays an vital role at the same time it reduces the chance of getting infected by Chickenpox virus.