Fractional Order Viral Epidemic Models and Their Applications

A special issue of Fractal and Fractional (ISSN 2504-3110). This special issue belongs to the section "Life Science, Biophysics".

Deadline for manuscript submissions: closed (5 October 2022) | Viewed by 4099

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Machine Learning Team, Upstart Network Inc., San Carlos, CA 94070, USA
Interests: interpretable machine learning; natural language processing; computational linguistics; reinforcement learning; applied machine learning
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Guest Editor
Engineering School (DEIM), University of Tuscia, Largo dell'Università, 01100 Viterbo, Italy
Interests: wavelets; fractals; fractional and stochastic equations; numerical and computational methods; mathematical physics; nonlinear systems; artificial intelligence
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Special Issue Information

Dear Colleagues,

There has been increased interest in the modeling of viral epidemic dynamics due to the ongoing SARS-COV2 pandemic. Due to the memory effect, fractional-order differential equations have performed better than integer-order differential equations in modeling the spread of the virus among the population. Apart from biological systems, these fractional-order epidemic models also find critical applications in other domains, such as in modeling financial crises, computer virus dynamics, and the spread of rumors in social networks.

We are organizing this Special Issue to help promote the development of both theoretical aspects, such as stability analysis and the optimization of numerical methods, and the application of these models in diverse domains. We invite and welcome review, expository, and original research articles dealing with recent theoretical advances in fractional-order epidemic models and their multidisciplinary applications.

Dr. Sourav Sen
Prof. Dr. Carlo Cattani
Guest Editors

Manuscript Submission Information

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Keywords

  • fractional calculus
  • fractional-order epidemic models
  • caputo fractional derivative
  • stability analysis
  • rumor diffusion model
  • computer virus epidemic model
  • network modeling

Published Papers (2 papers)

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Research

18 pages, 1660 KiB  
Article
A Fractional Order Investigation of Smoking Model Using Caputo-Fabrizio Differential Operator
by Yasir Nadeem Anjam, Ramsha Shafqat, Ioannis E. Sarris, Mati ur Rahman, Sajida Touseef and Muhammad Arshad
Fractal Fract. 2022, 6(11), 623; https://doi.org/10.3390/fractalfract6110623 - 26 Oct 2022
Cited by 19 | Viewed by 1437
Abstract
Smoking is a social trend that is prevalent around the world, particularly in places of learning and at some significant events. The World Health Organization defines smoking as the most important preventable cause of disease and the third major cause of death in [...] Read more.
Smoking is a social trend that is prevalent around the world, particularly in places of learning and at some significant events. The World Health Organization defines smoking as the most important preventable cause of disease and the third major cause of death in humans. In order to analyze this matter, this study typically emphasizes analyzing the dynamics of the fractional order quitting smoking model via the Caputo-Fabrizio differential operator. For the numerical solution of the considered model, the Laplace transform with the Adomian decomposition method (LADM) and Homotopy perturbation method (HPM) is applied, and the comparison of both the achieved numerical solutions is presented. Moreover, numerical simulation for the suggested scheme has been presented in various fractional orders with the aid of Matlab and the numerical results are supported by illustrative graphics. The simulation reveals the aptness of the considered model. Full article
(This article belongs to the Special Issue Fractional Order Viral Epidemic Models and Their Applications)
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13 pages, 969 KiB  
Article
Dynamic Analysis of a Delayed Fractional Infectious Disease Model with Saturated Incidence
by Peng Ding and Zhen Wang
Fractal Fract. 2022, 6(3), 138; https://doi.org/10.3390/fractalfract6030138 - 01 Mar 2022
Cited by 1 | Viewed by 1862
Abstract
This paper addresses a new fractional order infectious disease model with saturated incidence and time delay. In the new model, the isolated population and the asymptomatic infected population are considered. The invariant region and positive analysis of the solution of the model are [...] Read more.
This paper addresses a new fractional order infectious disease model with saturated incidence and time delay. In the new model, the isolated population and the asymptomatic infected population are considered. The invariant region and positive analysis of the solution of the model are established. Next, the basic reproduction number is obtained by the next-generation matrix method, and the sufficient conditions for local asymptotic stability for arbitrary time delays are proposed. Finally, the correctness of the theoretical results is verified by some numerical simulations. Full article
(This article belongs to the Special Issue Fractional Order Viral Epidemic Models and Their Applications)
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