ReviewApplied mathematical modelling2021
Review of fractional epidemic models.
Review in Applied mathematical modelling, 2021. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 23 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
23 citing papers in PubMed, 145 citations in OpenAlex.
- A fractional-order analysis of recurrent Lassa fever transmission in Nigeria.Virus research · 2026Article
- Computational simulations and uniform stability of fractional order neural networks under perturbed system setup.Scientific reports · 2026Article
- Survey on mathematical modeling of infectious disease dynamics: insights and applications.BMC infectious diseases · 2026Review
- A behavioral game-theoretic model for vaccination with fractional-order imitation and aspiration dynamics.Scientific reports · 2025Article
- Wild canids and felids differ in their reliance on reused travel routeways.Proceedings of the National Academy of Sciences of the United States of America · 2025Article
- Complex non-Markovian dynamics and the dual role of astrocytes in Alzheimer's disease development and propagation.Quantitative biology (Beijing, China) · 2025Article
- Predictors of mpox infectious periods: findings from a fine and gray sub-distribution hazard model using Vietnamese national mpox data.Epidemiology and infection · 2025Article
- Global infectious disease early warning models: An updated review and lessons from the COVID-19 pandemic.Infectious Disease Modelling · 2025Review
- Dynamic analysis of a Caputo fractional-order SEIR model with a general incidence rate.Scientific reports · 2025Article
- Article
- Significance of supervision sampling in control of communicable respiratory disease simulated by a new model during different stages of the disease.Scientific reports · 2025Article
- Assessing the potential impact of livestock immunisation and acaricide use on controlling the spread of East Coast fever.Parasite epidemiology and control · 2024Article
- Article
- A fractional-order mathematical model based on vaccinated and infected compartments of SARS-CoV-2 with a real case study during the last stages of the epidemiological event.Journal of computational and applied mathematics · 2023Article
- Role of turgor-pressure induced boundary tension in the maintenance of the shoot apical meristem ofJournal of the Royal Society, Interface · 2023Article
- Analysis of mathematical model involving nonlinear systems of Caputo-Fabrizio fractional differential equation.Boundary value problems · 2023Article
- Article
- LMI-Based Delayed Output Feedback Controller Design for a Class of Fractional-Order Neutral-Type Delay Systems Using Guaranteed Cost Control Approach.Entropy (Basel, Switzerland) · 2022Article
- Long-term predictions of current confirmed and dead cases of COVID-19 in China by the non-autonomous delayed epidemic models.Cognitive neurodynamics · 2022Article
- A Class of Deterministic and Stochastic Fractional Epidemic Models with Vaccination.Computational and mathematical methods in medicine · 2022Article
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 2 countries.
Funding
No grant is acknowledged in the PubMed record.
Abstract
The global impact of corona virus (COVID-19) has been profound, and the public health threat it represents is the most serious seen in a respiratory virus since the 1918 influenza A(H1N1) pandemic. In this paper, we have focused on reviewing the results of epidemiological modelling especially the fractional epidemic model and summarized different types of fractional epidemic models including fractional Susceptible-Infective-Recovered (SIR), Susceptible-Exposed-Infective-Recovered (SEIR), Susceptible-Exposed-Infective-Asymptomatic-Recovered (SEIAR) models and so on. Furthermore, we propose a general fractional SEIAR model in the case of single-term and multi-term fractional differential equations. A feasible and reliable parameter estimation method based on modified hybrid Nelder-Mead simplex search and particle swarm optimisation is also presented to fit the real data using fractional SEIAR model. The effective methods to solve the fractional epidemic models we introduced construct a simple and effective analytical technique that can be easily extended and applied to other fractional models, and can help guide the concerned bodies in preventing or controlling, even predicting the infectious disease outbreaks.
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.