Applications of Symmetric/Asymmetric Mathematical Model in Epidemiological Researches

A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Mathematics".

Deadline for manuscript submissions: closed (31 January 2024) | Viewed by 2055

Special Issue Editor

Associate Professor, Department of Mathematics Education, Akenten Appiah-Menka University of Skills Training and Entrepreneurial Development, Kumasi, Ghana
Interests: epidemic model; nonlinear incidence rate; vaccination

Special Issue Information

Dear Colleagues,

Infectious diseases in the 21st century have become complex issues to deal with by the World Health Organization (WHO). The global economic situation is worsening everyday due to the uncertainty of many known and unknown etiologies of diseases. It is important that the spread of these diseases be examined through the lens of mathematical modelling, which is less costly. The concept of symmetry has been noticed as one of the reliable approaches in solving complex epidemiological models. This Special Issue is therefore aimed at collecting new and innovative ideas regarding the mathematical modeling of infectious diseases based on the symmetry approach, computational techniques in modelling infectious diseases with symmetry, and new numeric methods for solving mathematical models in integer and non-integer order differential equations with symmetry.

Please note that all submissions should be full in the scope of the journal Symmetry.

Dr. Ebenezer Bonyah
Guest Editor

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Symmetry is an international peer-reviewed open access monthly journal published by MDPI.

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Published Papers (1 paper)

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Research

24 pages, 12756 KiB  
Article
A Numerical Study Based on Haar Wavelet Collocation Methods of Fractional-Order Antidotal Computer Virus Model
by Rahat Zarin, Hammad Khaliq, Amir Khan, Iftikhar Ahmed and Usa Wannasingha Humphries
Symmetry 2023, 15(3), 621; https://doi.org/10.3390/sym15030621 - 01 Mar 2023
Cited by 8 | Viewed by 1375
Abstract
Computer networks can be alerted to possible viruses by using kill signals, which reduces the risk of virus spreading. To analyze the effect of kill signal nodes on virus propagation, we use a fractional-order SIRA model using Caputo derivatives. In our model, we [...] Read more.
Computer networks can be alerted to possible viruses by using kill signals, which reduces the risk of virus spreading. To analyze the effect of kill signal nodes on virus propagation, we use a fractional-order SIRA model using Caputo derivatives. In our model, we show how a computer virus spreads in a vulnerable system and how it is countered by an antidote. Using the Caputo operator, we fractionalized the model after examining it in deterministic form. The fixed point theory of Schauder and Banach is applied to the model under consideration to determine whether there exists at least one solution and whether the solution is unique. In order to calculate the approximate solution to the model, a general numerical algorithm is established primarily based on Haar collocations and Broyden’s method. In addition to being mathematically fast, the proposed method is also straightforward and applicable to different mathematical models. Full article
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