ArticlePhysical review. E2017
Memory effects on epidemic evolution: The susceptible-infected-recovered epidemic model.
Article in Physical review. E, 2017. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 33 papers.
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33 citing papers in PubMed.
- Modeling remote healthcare adoption with fractional-order reaction-diffusion: stability and policy insights.Theory in biosciences = Theorie in den Biowissenschaften · 2026Article
- A fractional-order analysis of recurrent Lassa fever transmission in Nigeria.Virus research · 2026Article
- Parameter Estimation in Cellular Radiation Effects Using PSO-SQP and GA-SQP Hybrid Methods.Interdisciplinary sciences, computational life sciences · 2026Article
- Complex non-Markovian dynamics and the dual role of astrocytes in Alzheimer's disease development and propagation.Quantitative biology (Beijing, China) · 2025Article
- Effects of quarantine and vaccination on the transmission of Lumpy skin disease: A fractional approach.PloS one · 2025Article
- Analysis of a fractional order epidemiological model for tuberculosis transmission with vaccination and reinfection.Scientific reports · 2024Article
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- Global dynamics and computational modeling approach for analyzing and controlling of alcohol addiction using a novel fractional and fractal-fractional modeling approach.Scientific reports · 2024Article
- Mathematical assessment of monkeypox disease with the impact of vaccination using a fractional epidemiological modeling approach.Scientific reports · 2023Article
- Stability analysis of fractional order memristor synapse-coupled hopfield neural network with ring structure.Cognitive neurodynamics · 2023Article
- Modelling disease spread with spatio-temporal fractional derivative equations and saturated incidence rate.Modeling earth systems and environment · 2023Article
- Coupled disease-vaccination behavior dynamic analysis and its application in COVID-19 pandemic.Chaos, solitons, and fractals · 2023Article
- Qualitative analysis of a fractional-order two-strain epidemic model with vaccination and general non-monotonic incidence rate.International journal of dynamics and control · 2022Article
- Quantifying the impact of ecological memory on the dynamics of interacting communities.PLoS computational biology · 2022Article
- Qualitative and quantitative analysis of the COVID-19 pandemic by a two-side fractional-order compartmental model.ISA transactions · 2022Article
- Global analysis of a time fractional order spatio-temporal SIR model.Scientific reports · 2022Article
- Effects of void nodes on epidemic spreads in networks.Scientific reports · 2022Article
- Effect of Fear, Treatment, and Hunting Cooperation on an Eco-Epidemiological Model: Memory Effect in Terms of Fractional Derivative.Iranian journal of science and technology. Transaction A, Science · 2022Article
- The influence of awareness campaigns on the spread of an infectious disease: a qualitative analysis of a fractional epidemic model.Modeling earth systems and environment · 2022Article
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5 authors.
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No grant is acknowledged in the PubMed record.
Abstract
Memory has a great impact on the evolution of every process related to human societies. Among them, the evolution of an epidemic is directly related to the individuals' experiences. Indeed, any real epidemic process is clearly sustained by a non-Markovian dynamics: memory effects play an essential role in the spreading of diseases. Including memory effects in the susceptible-infected-recovered (SIR) epidemic model seems very appropriate for such an investigation. Thus, the memory prone SIR model dynamics is investigated using fractional derivatives. The decay of long-range memory, taken as a power-law function, is directly controlled by the order of the fractional derivatives in the corresponding nonlinear fractional differential evolution equations. Here we assume "fully mixed" approximation and show that the epidemic threshold is shifted to higher values than those for the memoryless system, depending on this memory "length" decay exponent. We also consider the SIR model on structured networks and study the effect of topology on threshold points in a non-Markovian dynamics. Furthermore, the lack of access to the precise information about the initial conditions or the past events plays a very relevant role in the correct estimation or prediction of the epidemic evolution. Such a "constraint" is analyzed and discussed.
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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.