Mathematical modeling of COVID-19 spread with media coverage and optimal control analysis G.P. Sahu, A.S. Thakur Iranian Journal of Numerical Analysis and Optimization, 2025 The COVID-19 pandemic, initiated by the SARS-CoV-2 virus, first emerged in Wuhan, China and quickly propagated worldwide. In India, lacking immediate access to effective vaccines and antiviral drugs, the response primarily relied on nonpharmaceutical interventions. These strategies, extensively covered by the media, were vital in promoting preventive behaviors to limit viral transmission. This research introduces a new mathematical model, SAEIaIRU M , to analyze COVID-19’s transmission dynamics. It includes a saturation functional response to depict the media’s role in influencing public behavior. The control reproduction number (Rc) is determined, and both local and global stability of the disease-free equilibrium are analyzed. Using the least-squares method, the model fits daily case data from India from March 30, 2020, to January 24, 2021. We evaluate the impact of various control parameters on disease progression through numerical simulations and employ normalized forward sensitivity analysis to identify critical parameters affecting Rc. The study advances by for mulating an optimal control problem, incorporating the cost of preventive actions as control variables. Findings indicate that an early optimal control strategy could lessen the severity of epidemic peaks by distributing their effects over a longer duration. Simulations demonstrate that combining four control measures outperforms a single or no control.
Mathematical Modelling on Dynamics of Multi-variant SARS-CoV-2 Virus: Estimating Delta and Omicron Variant Impact on COVID-19 Iaeng International Journal of Applied Mathematics, 2025
Analyzing the role of media, environment, and treatment limits in epidemic spread: a mathematical and optimal control approach GP Sahu, AS Thakur Network Modeling Analysis in Health Informatics and Bioinformatics 14 (1), 87 , 2025 2025
Mathematical modeling of COVID-19 spread with media coverage and optimal control analysis. GP Sahu, AS Thakur Iranian Journal of Numerical Analysis & Optimization 15 (3), 952 , 2025 2025 Citations: 1
Modeling the covid-19 dynamics with omicron variant, non-pharmaceutical interventions, and environmental contamination AS Thakur, GP Sahu Differential Equations and Dynamical Systems, 1-25 , 2025 2025 Citations: 3
Discrete dynamics of an epidemic model incorporating a control strategy H Singh, J Dhar, GP Sahu, RS Baghel J. Math. Comput. Sci. 15, Article ID 3 , 2025 2025
Mathematical Modelling on Dynamics of Multi-variant SARS-CoV-2 Virus: Estimating Delta and Omicron Variant Impact on COVID-19 R Sadhana Gupta, YK Rajoria, GP Sahu IAENG International Journal of Applied Mathematics 55 (1), 180-188 , 2025 2025 Citations: 4
Anti-intuitionistic Fuzzy Soft Modules in BCK/BCI-Algebras DS Tandon, CS Rathore, GP Sahu, O Dewangan International Conference on Mathematical Modelling, Applied Analysis and … , 2023 2023
Mathematical attitude of continuous mutation of COVID-19 virus. S Panika, GP Sahu 2023
Dynamical behavior of an innovation diffusion model with intra-specific competition between competing adopters R Kumar, AK Sharma, GP Sahu Acta Mathematica Scientia 42 (1), 364-386 , 2022 2022 Citations: 8
Chaos control of chaotic plankton dynamics in the presence of additional food, seasonality, and time delay RP Kaur, A Sharma, AK Sharma, GP Sahu Chaos, Solitons & Fractals 153, 111521 , 2021 2021 Citations: 19
Dynamical behavior of SIRS epidemic model with media awareness as control strategy H Singh, J Dhar, HS Bhatti, GP Sahu International Journal of Infectious Diseases 45, 286 , 2016 2016 Citations: 4
Dynamics of an SEQIHRS epidemic model with media coverage, quarantine and isolation in a community with pre-existing immunity GP Sahu, J Dhar Journal of mathematical analysis and applications 421 (2), 1651-1672 , 2015 2015 Citations: 127
A Mosquitoes Population Dynamics Model with Pesticide Control AC Panday, DN Goswami, J Dhar, Shriprakash, GP Sahu International Journal of Pure and Applied Mathematics 101 (4), 595-604 , 2015 2015
Study of Infectious Disease Dynamics with Vaccination-Quarantine-Isolation and Media Awareness as Control Strategies GP Sahu Atal Bihari Vajpayee-Indian Institute of Information Technology and … , 2014 2014
Mathematical model of depletion of forestry resource: effect of synthetic based industries M Chaudhary, J Dhar, GP Sahu International Journal of Biological Sciences 7 (4), 788-792 , 2013 2013 Citations: 38
Analysis of an SVEIS epidemic model with partial temporary immunity and saturation incidence rate GP Sahu, J Dhar Applied Mathematical Modelling 36 (3), 908-923 , 2012 2012 Citations: 137
Mathematical modelling and analysis of viral disease outbreak with partial immunity and incubation period J Dhar, AK Sharma, GP Sahu, HS Bhatti Elixir Bio. Phys 37, 3691-3695 , 2011 2011 Citations: 2
MOST CITED SCHOLAR PUBLICATIONS
Analysis of an SVEIS epidemic model with partial temporary immunity and saturation incidence rate GP Sahu, J Dhar Applied Mathematical Modelling 36 (3), 908-923 , 2012 2012 Citations: 137
Dynamics of an SEQIHRS epidemic model with media coverage, quarantine and isolation in a community with pre-existing immunity GP Sahu, J Dhar Journal of mathematical analysis and applications 421 (2), 1651-1672 , 2015 2015 Citations: 127
Mathematical model of depletion of forestry resource: effect of synthetic based industries M Chaudhary, J Dhar, GP Sahu International Journal of Biological Sciences 7 (4), 788-792 , 2013 2013 Citations: 38
Chaos control of chaotic plankton dynamics in the presence of additional food, seasonality, and time delay RP Kaur, A Sharma, AK Sharma, GP Sahu Chaos, Solitons & Fractals 153, 111521 , 2021 2021 Citations: 19
Dynamical behavior of an innovation diffusion model with intra-specific competition between competing adopters R Kumar, AK Sharma, GP Sahu Acta Mathematica Scientia 42 (1), 364-386 , 2022 2022 Citations: 8
Mathematical Modelling on Dynamics of Multi-variant SARS-CoV-2 Virus: Estimating Delta and Omicron Variant Impact on COVID-19 R Sadhana Gupta, YK Rajoria, GP Sahu IAENG International Journal of Applied Mathematics 55 (1), 180-188 , 2025 2025 Citations: 4
Dynamical behavior of SIRS epidemic model with media awareness as control strategy H Singh, J Dhar, HS Bhatti, GP Sahu International Journal of Infectious Diseases 45, 286 , 2016 2016 Citations: 4
Modeling the covid-19 dynamics with omicron variant, non-pharmaceutical interventions, and environmental contamination AS Thakur, GP Sahu Differential Equations and Dynamical Systems, 1-25 , 2025 2025 Citations: 3
Mathematical modelling and analysis of viral disease outbreak with partial immunity and incubation period J Dhar, AK Sharma, GP Sahu, HS Bhatti Elixir Bio. Phys 37, 3691-3695 , 2011 2011 Citations: 2
Mathematical modeling of COVID-19 spread with media coverage and optimal control analysis. GP Sahu, AS Thakur Iranian Journal of Numerical Analysis & Optimization 15 (3), 952 , 2025 2025 Citations: 1
Analyzing the role of media, environment, and treatment limits in epidemic spread: a mathematical and optimal control approach GP Sahu, AS Thakur Network Modeling Analysis in Health Informatics and Bioinformatics 14 (1), 87 , 2025 2025
Discrete dynamics of an epidemic model incorporating a control strategy H Singh, J Dhar, GP Sahu, RS Baghel J. Math. Comput. Sci. 15, Article ID 3 , 2025 2025
Anti-intuitionistic Fuzzy Soft Modules in BCK/BCI-Algebras DS Tandon, CS Rathore, GP Sahu, O Dewangan International Conference on Mathematical Modelling, Applied Analysis and … , 2023 2023
Mathematical attitude of continuous mutation of COVID-19 virus. S Panika, GP Sahu 2023
A Mosquitoes Population Dynamics Model with Pesticide Control AC Panday, DN Goswami, J Dhar, Shriprakash, GP Sahu International Journal of Pure and Applied Mathematics 101 (4), 595-604 , 2015 2015
Study of Infectious Disease Dynamics with Vaccination-Quarantine-Isolation and Media Awareness as Control Strategies GP Sahu Atal Bihari Vajpayee-Indian Institute of Information Technology and … , 2014 2014