ArticlePhysica A2022
Nonlinear optimal control strategies for a mathematical model of COVID-19 and influenza co-infection.
Article in Physica A, 2022. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 15 papers.
What it found
Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.
The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.
The trial behind it
Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.
Neither the registry nor the abstract names a trial number. If this is a trial report, that itself is worth knowing.
Who cites it
15 citing papers in PubMed, 66 citations in OpenAlex.
- Infection History Shapes Co-Epidemic Dynamics: A Transmission Source-Pathway Decomposition for COVID-19 and Influenza.Microorganisms · 2026Article
- Modeling COVID-19 pneumonia and COVID-associated pulmonary aspergillosis: sensitivity analysis and optimal control.BMC infectious diseases · 2025Article
- Modelling behavioural changes and vaccination in the transmission of respiratory viruses with co-infection.Journal of mathematical biology · 2025Article
- The interplay of influenza and COVID-19 in Germany, January 2020 - December 2022: a study of competitive disease dynamics with quarantine measures and partial cross-immunity.BMC public health · 2025Article
- Optimal time-dependent SUC model for COVID-19 pandemic in India.BMC infectious diseases · 2024Article
- Evolutionary game analysis of multiple subjects in the management of major public health emergencies.Heliyon · 2024Article
- Influenza and COVID-19 co-infection and vaccine effectiveness against severe cases: a mathematical modeling study.Frontiers in cellular and infection microbiology · 2024Article
- The stability analysis of a co-circulation model for COVID-19, dengue, and zika with nonlinear incidence rates and vaccination strategies.Healthcare analytics (New York, N.Y.) · 2023Article
- Modeling the competitive transmission of the Omicron strain and Delta strain of COVID-19.Journal of mathematical analysis and applications · 2023Article
- Article
- A mathematical model for the co-dynamics of COVID-19 and tuberculosis.Mathematics and computers in simulation · 2023Article
- Modeling SARS-CoV-2 and HBV co-dynamics with optimal control.Physica A · 2023Article
- Mathematical Model of COVID-19 Pandemic with Double Dose Vaccination.Acta biotheoretica · 2023Article
- Article
- Time-delayed modelling of the COVID-19 dynamics with a convex incidence rate.Informatics in medicine unlocked · 2022Review
Corrections and comments
PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.
Authors and funding
4 authors at 3 institutions in 3 countries.
Funding
No grant is acknowledged in the PubMed record.
Abstract
Infectious diseases have remained one of humanity's biggest problems for decades. Multiple disease infections, in particular, have been shown to increase the difficulty of diagnosing and treating infected people, resulting in worsening human health. For example, the presence of influenza in the population is exacerbating the ongoing COVID-19 pandemic. We formulate and analyze a deterministic mathematical model that incorporates the biological dynamics of COVID-19 and influenza to effectively investigate the co-dynamics of the two diseases in the public. The existence and stability of the disease-free equilibrium of COVID-19-only and influenza-only sub-models are established by using their respective threshold quantities. The result shows that the COVID-19 free equilibrium is locally asymptotically stable when
Indexed as
Identifiers
What OpenQuestion holds
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.