Browsing by Author "Dianavinnarasi, J."

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Citation - WoS: 23
Citation - Scopus: 25
Mathematical Modeling of Chickenpox in Phuket: Efficacy of Precautionary Measures and Bifurcation Analysis
(Elsevier Sci Ltd, 2023) Raja, R.; Dianavinnarasi, J.; Baleanu, D.; Jirawattanapanit, A.; Jose, Sayooj Aby
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.
Citation - WoS: 15
Citation - Scopus: 17
Robust Synchronization of Multi-Weighted Fractional Order Complex Dynamical Networks Under Nonlinear Coupling Via Non-Fragile Control With Leakage and Constant Delays
(Pergamon-elsevier Science Ltd, 2023) Raja, R.; Dianavinnarasi, J.; Alzabut, J.; Baleanu, D.; Aadhithiyan, S.
In this article, we examine the impact of leakage delays on robust synchronization for fractional order multi-weighted complex dynamical networks(MFCDN) under non-linear coupling via non-fragile control. By employing the fractional order comparison principle, suitable Lyapunov method, and some fractional order inequality techniques, we ensured the robust asymptotical synchronization for MFCDN. In addition to common findings, we have done some specific research in order to get reliable synchronization for multi-weighted complex dynamical network(MCDN) without leakage delay. Additionally, our findings gained are applicable to single weighted FCDN and integer order complex dynamical networks, regardless of whether they have a single weight or many weights. Our suggested approach is shown to be more effective and practical in this article by providing a numerical simulation.