Overview
Mathematical modelling is the construction of formal quantitative representations of real-world systems, using equations, statistical relationships or simulations to describe, explain and predict their behaviour. In infectious-disease epidemiology, models translate assumptions about transmission, recovery and intervention into projections of how an outbreak will evolve, allowing the comparison of control strategies before they are implemented. Compartmental and related frameworks have been applied extensively to COVID-19 to predict epidemic spread and to evaluate the significance of prevention and control measures, and similar dynamic models address other communicable diseases such as typhoid fever, including the impact of interventions over time. Modelling also extends to genetic and population processes, for example genetic-mathematical treatments of mutational dynamics and of interacting populations, demonstrating the breadth of the approach beyond a single disease. The methodology depends on parameter estimation from data, sensitivity analysis and validation against observed outcomes, and it can incorporate stochastic effects and spatial structure. Across applications, mathematical modelling provides a disciplined way to reason about complex systems, quantify uncertainty and support decision-making, whether characterising the transmission dynamics of an epidemic wave or estimating processes in physical and environmental systems.
Research published in this journal
12 peer-reviewed articles, ranked by relevance. Each links to its DOI.
Mathematical Modeling of Covid-19
Models and data Analysis of the Outbreak Risk of COVID-19
Mathematical Modelling of Typhoid Fever Transmission Dynamics and Intervention Impact in Harare, Zimbabwe (2018–2020)
Genetic-Mathematical Modelling of Mutational Processes in a Population
Closed Electrical Transmission Line as a Ring Waveguide for Interacting Waves of Electron and Phonon Currents
Genetic-Mathematical Modelling of the Populations Interaction
Nitrogen Leaching Loss Estimation from Paddy Soil in the Taihu Lake Region of China by a Newly Developed Simple Model
Simulation of Groundwater Movement from Pits Fenced by Zchukovsky's Sprunts
Modeling of Dynamic/Situational Leadership for Effective Entrepreneurship Development
Characterizing the Transmission Dynamics of the Cases Registered by Covid-19 in Venezuela According to Epidemic Wave and the Value of the Mantissa
Amino Acids and their Derivatives in Pathogenesis and Treatment of Liver Diseases
How this research is being cited
The 12 articles above have been cited 115 times in the scholarly literature. Citation data via OpenAlex and Crossref, updated Jun 2026.
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2024 · AIP conference proceedings
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2024 · General Letters in Mathematics
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Viktoriya Petrakova et al. · 2024 · Journal of Optimization Theory and Applications
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2023 · AIP conference proceedings
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2023 · Viruses
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2023 · Springer eBooks
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2022 · Fractal and Fractional
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2022 · International Journal of Environmental Research and Public Health
A sample of recent works citing this journal's research on Mathematical Modeling, linking to each citing work.