article · Results in Control and Optimization
This research evaluates the impact of recent COVID-19 treatment advancements, specifically antiviral medicines and monoclonal antibodies, on controlling viral transmission. A mathematical model incorporating these therapeutic options alongside public awareness was developed and solved using the Laplace-Adomian decomposition method, with the accuracy of the solution confirmed by the ratio test. The analytical assessment of the basic reproductive threshold and sensitivity demonstrates that therapeutic measures combined with heightened awareness effectively mitigate the spread of the disease. Numerical simulations conducted in Maple software using real-world COVID-19 data show that while antivirals or monoclonal antibodies can individually lead to disease eradication, applying both treatments in conjunction with increased human awareness achieves rapid elimination of the virus.
Understanding how different medical interventions interact with public behaviour helps health authorities design more effective disease containment strategies. By demonstrating that combining specific medical treatments with public awareness accelerates disease elimination, this work provides a framework to guide decision-makers in balancing medical and educational resources during viral outbreaks.
The findings could inform public health agencies and healthcare software developers looking to build predictive planning tools for epidemic intervention. Because the work is based on mathematical modelling and simulation using historical real-world data, it represents early-stage analytical research that requires translation into decision-support systems before practical deployment.
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This study aims to assess the effectiveness of recent advancements in COVID-19 treatment, specifically antiviral medicines and monoclonal antibodies, in curbing the virus’s spread. We present a mathematical model incorporating these factors and qualitatively demonstrate its efficiency via positivity, existence and uniqueness of solution. Analyzing the basic reproductive threshold and sensitivity, we find that these therapeutic measures, coupled with heightened human awareness, effectively mitigate disease transmission. Employing the Laplace-Adomian decomposition method, we derive the model’s solution, confirming its accuracy via the ratio test. Numerical experiments using real-world COVID-19 data in Maple 18 software practically implies that while antiviral medications or monoclonal antibodies alone can lead to eradication, their combined implementation with increased human awareness results in rapid elimination.
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DOI: 10.1016/j.rico.2024.100384
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