ArticleResults in physics2021
Modeling third waves of Covid-19 spread with piecewise differential and integral operators: Turkey, Spain and Czechia.
Article in Results in physics, 2021. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 14 papers.
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14 citing papers in PubMed.
- Multistability bifurcation analysis and transmission pathways for the dynamics of the infectious disease-cholera model with microbial expansion inducing the Allee effect in terms of Guassian noise and crossover effects.Scientific reports · 2025Article
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- Application of piecewise fractional differential equation to COVID-19 infection dynamics.Results in physics · 2022Article
- Assessing the potential impact of COVID-19 Omicron variant: Insight through a fractional piecewise model.Results in physics · 2022Article
- Stochastic differential equation model of Covid-19: Case study of Pakistan.Results in physics · 2022Article
- Piecewise differentiation of the fractional order CAR-T cells-SARS-2 virus model.Results in physics · 2022Article
- Analysis of propagating wave structures of the cold bosonic atoms in a zig-zag optical lattice via comparison with two different analytical techniques.Optical and quantum electronics · 2022Article
- A new mathematical model of multi-faced COVID-19 formulated by fractional derivative chains.Advances in continuous and discrete models · 2022Article
- Mathematical assessment of constant and time-dependent control measures on the dynamics of the novel coronavirus: An application of optimal control theory.Results in physics · 2021Article
- A new lifetime family of distributions: Theoretical developments and analysis of COVID 19 data.Results in physics · 2021Article
- On fractional approaches to the dynamics of a SARS-CoV-2 infection model including singular and non-singular kernels.Results in physics · 2021Article
- Global transmission dynamic of SIR model in the time of SARS-CoV-2.Results in physics · 2021Article
- A hybrid stochastic fractional order Coronavirus (2019-nCov) mathematical model.Chaos, solitons, and fractals · 2021Article
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2 authors.
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Abstract
Several collected data representing the spread of some infectious diseases have demonstrated that the spread does not really exhibit homogeneous spread. Clear examples can include the spread of Spanish flu and Covid-19. Collected data depicting numbers of daily new infections in the case of Covid-19 from countries like Turkey, Spain show three waves with different spread patterns, a clear indication of crossover behaviors. While modelers have suggested many mathematical models to depicting these behaviors, it becomes clear that their mathematical models cannot really capture the crossover behaviors, especially passage from deterministic resetting to stochastics. Very recently Atangana and Seda have suggested a concept of piecewise modeling consisting in defining a differential operator piece-wisely. The idea was first applied in chaos and outstanding patterns were captured. In this paper, we extend this concept to the field of epidemiology with the aim to depict waves with different patterns. Due to the novelty of this concept, a different approach to insure the existence and uniqueness of system solutions are presented. A piecewise numerical approach is presented to derive numerical solutions of such models. An illustrative example is presented and compared with collected data from 3 different countries including Turkey, Spain and Czechia. The obtained results let no doubt for us to conclude that this concept is a new window that will help mankind to better understand nature.
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