Applied Mathematics, Mathematical Physics, Biophysics, Computational Theory and Mathematics
3
Scopus Publications
8
Scholar Citations
2
Scholar h-index
Scopus Publications
Pulsating flow of unsteady immiscible viscous fluid under the combined effects of smooth and corrugated channel walls Mathematics in Engineering Science and Aerospace, 2026
Study of transmission pattern of COVID-19 among cardiac and noncardiac population using a nonlinear mathematical model Gopishetty Shirisha, Saroj Vernekar Computational and Mathematical Biophysics, 2025 Recent studies have intensified the risk of post-COVID-19 cardiovascular diseases. In an effort to understand the intricate dynamics of COVID-19 infection, this article suggests a four-compartment model to portray the dynamic interplay between the susceptible population, the COVID-19-infected population detected without and with cardiovascular disease, and the recovered population. Basic properties such as nonnegativity and boundedness of solutions and the existence of disease-free and endemic equilibria are discussed. The model’s basic reproduction number is obtained. Sufficient conditions for local and global stability at the equilibrium point are established by restricting the functionals and parameters of the system. Numerical examples are illustrated to support the results. The relative significance of the model parameters to disease transmission is determined by performing a sensitivity analysis of the model. It is found that a rise in infection among the cardio population will drastically affect the overall infection rate compared to that of the noncardio population, supporting the real-time scenario. This model also emphasizes the importance of vaccination and treatment in controlling the spread of the virus.
Stability-preserving discrete models for a class of continuous neural network models Nonlinear Studies, 2024
RECENT SCHOLAR PUBLICATIONS
Study of transmission pattern of COVID-19 among cardiac and noncardiac population using a nonlinear mathematical model G Shirisha, S Vernekar Computational and Mathematical Biophysics 13 (1), 20250020 , 2025 2025.0 Citations: 1
Predictive dynamics of a two-way interactive Cooperative and Supportive Neural Network SV G. Shirisha Panamerican Mathematical Journal 35 (4), 723 , 2025 2025.0
Stability-preserving discrete models for a class of continuous neural network models. G Shirisha, S Vernekar, R Revathi Nonlinear Studies 31 (1) , 2024 2024.0
A study on the effect of peristalsis and cilia of MHD Micropolar fluid flow through an inclined porous channel D Saroj Vernekar, YVK Ravi Kumar Journal of Applied Fluid Mechanics 11 (5), 1321-1331 , 2018 2018.0 Citations: 3
Mathematical Modeling of Velocity and Heat Transfer in an Optically Thick Nanofluid Incorporating Several Engineering Strategies DS Vernekar, S Kumari, YVK Kumar, P Subhash Advanced Science Letters 24 (8), 5752-5758 , 2018 2018.0
Peristaltic Pumping of a Jeffrey Fluid in an Inclined Channel with Heat Transfer under Velocity Slip Condition SVHNKKP D Raju , D Saroj Vernekar Online International Interdisciplinary Research Journal 7 (2), 638-651 , 2017 2017.0
Peristaltic motion of a micropolar fluid under the effect of a magnetic field in an inclined channel KS Krishna, VD Saroj, RY Ravi The International Journal of Engineering and Science 2, 31-40 , 2013 2013.0 Citations: 3
Comparative study of effect of Peristalsis with Suction/Injection and Cilia on the flow of MHD Jeffrey fluid SK Kumari, DS Vernekar Citations: 1
PERISTALTIC FLOW OF MHD PHAN-THIEN-TANNER FLUID IN AN ASYMMETRIC CHANNEL WITH POROUS MEDIUM S VERNEKAR, YVKR KUMAR
MOST CITED SCHOLAR PUBLICATIONS
A study on the effect of peristalsis and cilia of MHD Micropolar fluid flow through an inclined porous channel D Saroj Vernekar, YVK Ravi Kumar Journal of Applied Fluid Mechanics 11 (5), 1321-1331 , 2018 2018.0 Citations: 3
Peristaltic motion of a micropolar fluid under the effect of a magnetic field in an inclined channel KS Krishna, VD Saroj, RY Ravi The International Journal of Engineering and Science 2, 31-40 , 2013 2013.0 Citations: 3
Study of transmission pattern of COVID-19 among cardiac and noncardiac population using a nonlinear mathematical model G Shirisha, S Vernekar Computational and Mathematical Biophysics 13 (1), 20250020 , 2025 2025.0 Citations: 1
Comparative study of effect of Peristalsis with Suction/Injection and Cilia on the flow of MHD Jeffrey fluid SK Kumari, DS Vernekar Citations: 1
Predictive dynamics of a two-way interactive Cooperative and Supportive Neural Network SV G. Shirisha Panamerican Mathematical Journal 35 (4), 723 , 2025 2025.0
Stability-preserving discrete models for a class of continuous neural network models. G Shirisha, S Vernekar, R Revathi Nonlinear Studies 31 (1) , 2024 2024.0
Mathematical Modeling of Velocity and Heat Transfer in an Optically Thick Nanofluid Incorporating Several Engineering Strategies DS Vernekar, S Kumari, YVK Kumar, P Subhash Advanced Science Letters 24 (8), 5752-5758 , 2018 2018.0
Peristaltic Pumping of a Jeffrey Fluid in an Inclined Channel with Heat Transfer under Velocity Slip Condition SVHNKKP D Raju , D Saroj Vernekar Online International Interdisciplinary Research Journal 7 (2), 638-651 , 2017 2017.0
PERISTALTIC FLOW OF MHD PHAN-THIEN-TANNER FLUID IN AN ASYMMETRIC CHANNEL WITH POROUS MEDIUM S VERNEKAR, YVKR KUMAR