ArticleEuropean physical journal plus2022
Optimal control analysis of COVID-19 vaccine epidemic model: a case study.
Article in European physical journal plus, 2022. The graph could read no effect estimate from its abstract, so it casts no vote on the map. An erratum has been issued. Cited by 10 papers, 1 of them a synthesis that pooled it.
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Who cites it
10 citing papers in PubMed, 1 synthesis or guideline pooled it.
- Optimal resource allocation model for COVID-19: a systematic review and meta-analysis.BMC infectious diseases · 2024Pooled it
- A novel mathematical modeling and optimal control analysis of monkeypox transmission incorporating double-dose vaccination strategies: Insights from the recent outbreak.Infectious Disease Modelling · 2026Article
- A Fokker-Planck framework for control of epidemics.Journal of mathematical biology · 2026Article
- Optimising pandemic response through vaccination strategies using neural networks.Scientific reports · 2026Article
- A comparative study of deterministic and stochastic computational modeling approaches for analyzing and optimizing COVID-19 control.Scientific reports · 2025Article
- Stability and control analysis of COVID-19 spread in India using SEIR model.Scientific reports · 2025Article
- A numerical study of spatio-temporal COVID-19 vaccine model via finite-difference operator-splitting and meshless techniques.Scientific reports · 2023Article
- Article
- A mathematical model for transmission dynamics of COVID-19 infection.European physical journal plus · 2023Article
- Application of fractional optimal control theory for the mitigating of novel coronavirus in Algeria.Results in physics · 2022Article
Corrections and comments
- Erratum issued
Authors and funding
3 authors.
Funding
No grant is acknowledged in the PubMed record.
Abstract
The purpose of this research is to explore the complex dynamics and impact of vaccination in controlling COVID-19 outbreak. We formulate the classical epidemic compartmental model by introducing vaccination class. Initially, the proposed mathematical model is analyzed qualitatively. The basic reproductive number is computed and its numerical value is estimated using actual reported data of COVID-19 for Pakistan. The sensitivity analysis is performed to analyze the contribution of model embedded parameters in transmission of the disease. Further, we compute the equilibrium points and discussed its local and global stability. In order to investigate the influence of model key parameters on the transmission and controlling of the disease, we perform numerical simulations describing the impact of various scenarios of vaccine efficacy rate and other controlling measures. Further, on the basis of sensitivity analysis, the proposed model is restructured to obtained optimal control model by introducing time-dependent control variables
Identifiers
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Registered trials
Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.