ArticleScientific reports2022
Adaptive SIR model with vaccination: simultaneous identification of rates and functions illustrated with COVID-19.
Article in Scientific reports, 2022. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 9 papers.
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Who cites it
9 citing papers in PubMed.
- Integrated disease model considering mutation-induced infection waves with COVID-19 cases.PloS one · 2026Article
- Computational modeling of infectious diseases: insights from network-based simulations on measles.BMC medical informatics and decision making · 2025Article
- Integrating fractional-order SEI1I2I3QCR model with awareness and non-pharmaceutical interventions for optimal COVID-19 pandemic.BMC medical research methodology · 2025Article
- Novel travel time aware metapopulation models and multi-layer waning immunity for late-phase epidemic and endemic scenarios.PLoS computational biology · 2024Article
- Social and economic variables explain COVID-19 diffusion in European regions.Scientific reports · 2024Article
- Beyond scale-free networks: integrating multilayer social networks with molecular clusters in the local spread of COVID-19.Scientific reports · 2023Article
- Novel Approach for Identification of Basic and Effective Reproduction Numbers Illustrated with COVID-19.Viruses · 2023Article
- A Well-Posed Fractional Order Cholera Model with Saturated Incidence Rate.Entropy (Basel, Switzerland) · 2023Article
- A Modified PINN Approach for Identifiable Compartmental Models in Epidemiology with Application to COVID-19.Viruses · 2022Article
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2 authors.
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Abstract
An Adaptive Susceptible-Infected-Removed-Vaccinated (A-SIRV) epidemic model with time-dependent transmission and removal rates is constructed for investigating the dynamics of an epidemic disease such as the COVID-19 pandemic. Real data of COVID-19 spread is used for the simultaneous identification of the unknown time-dependent rates and functions participating in the A-SIRV system. The inverse problem is formulated and solved numerically using the Method of Variational Imbedding, which reduces the inverse problem to a problem for minimizing a properly constructed functional for obtaining the sought values. To illustrate and validate the proposed solution approach, the present study used available public data for several countries with diverse population and vaccination dynamics-the World, Israel, The United States of America, and Japan.
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