Predictive dynamics of a nonlinear delayed epidemiological model using a non-standard finite difference scheme, Journal of Difference Equations and Applications, Taylor & Francis, Under review.
Fractional caputo modeling of delayed disease dynamics: sensitivity analysis and control strategies incorporating environmental influences, The European Physical Journal Plus, Springer, Under review.
Published :
An influential study of a time-delayed epidemic model incorporating vaccination and treatment interventions, Sushil Pathak and Venkata RatnamKota,Advances in Continuous and Discrete Models, 2025,1-24, 2025, Springer, doi: 10.1186/s13662-025-03920-0.
Mathematical analysis of an infectious disease model: stability, persistence, and equilibrium analysis in anonlinear epidemiological system, Journal of Nonlinear Mathematical Physics, Sushil Pathak and Venkata Ratnam Kota, 32,64,2025, Springer, doi : 10.1007/s44198-025-00333-1.
Mathematical analysis and stability switching in a delayed disease transmission model, Journal of Simulation, Sushil Pathak, Venkata Ratnam Kota, Shirisha Gopishetty and Rajasekhara Rao Ponnada, 19,1-26, 2025, Taylor & Francis, doi : 10.1080/17477778.2025.2601757.
Mathematical model on influence of past experiences on present activities of human brain, Computational and Mathematical Biophysics, Volume 13,Issue 1,Page 1 - 23; 2025;
P. Raja Sekhara Rao, K. Venkata Ratnam, G. Sirisha, “A Reliable Service Provider System-Mathematical Model and Dynamical Behavior ” Nonlinear Dynamics and Systems Theory -Accepted.
Dynamical Behavior of Cooperative Supportive System Involving Intra-Network Delays in Information Propagation, G. Sirisha, K. Venkata Ratnam, Advances in the Theory of Nonlinear Analysis and its Application. Vol.11, No.4, 2022.
Stability Preserving NSFD Scheme for a Cooperative and Supportive Network, International Journal of Dynamics and Control, Springer (2021) 9:1576–1588.
Predictive dynamics of infectious diseases–a new technique, World Journal of Modelling and Simulation Vol. 15 (2019) No. 2, pp. 128-139, P. Raja Sekhara Rao, K.Venkata Ratnam* and M. Sita Rama Murthy, (2019), Academic Press UK England.
Stability Preserving Non Standard Finite Difference Schemes for Certain Biological Models, International Journal of Dynamics and Control.P. Raja Sekhara Rao, K.Venkata Ratnam* and M. Sita Rama Murthy, (2018), Springer.
Food-Consumer Interactions: Role of Time Varying Key Parameters - A New Perspective", P. Raja Sekhara Rao, K.Venkata Ratnam, P. Lalitha: Computational Mathematics and Modeling,29 (2) 2018, Springer.
Global Dynamics of a Cooperative and Supportive Network System with Subnetwork Deactivation, Nonlinear Dynamics and Systems Theory, 17(2) (2017) 205–216.
Model for mucus transport in the airways due to air motion: Effect of slipperiness, International Journal of Biomathematics, 9(5), 2016, World Scientific.
An Empirical Rate Constant Based Model to Study Capacity Fading in Lithium Ion Batteries, International Journal of Electrochemistry, Volume 2015, Article ID 439015.
Delay Independent Stability of Co-operative and Supportive Neural Networks, Nonlinear Dynamics and Systems Theory, 15 (2), 2015, 184–197.
Estimation of Inputs for a Desired Output of a Cooperative and Supportive Neural Network, International Journal of Emerging Technologies in Computational and Applied Sciences (IJETCAS), 14-536, 2014, 99-105.
Parameter estimation using dynamic optimization in a limited-nutrient consumer hybrid dynamical systems, Nonlinear Analysis, Real World Applications, 64, 2006, 263-287.
Multiparameter dynamic optimization Algorithms and application to a problem of bioinformatics relating to the spread of an epidemic. Electronic Modeling, 26 ,2004.
