Analysis of a Modified System of Infectious Disease in a Closed and Convex Subset of a Function Space with Numerical Study
Rattachement africain : pk, tr, lb, cy, es. Niveau de preuve : code pays fourni par la source.
Le résumé fourni par la source
In this article, the transmission dynamical model of the deadly infectious disease named Ebola is investigated. This disease identified in the Democratic Republic of Congo (DRC) and Sudan (now South Sudan) and was identified in 1976. The novelty of the model under discussion is the inclusion of advection and diffusion in each compartmental equation. The addition of these two terms makes the model more general. Similar to a simple population dynamic system, the prescribed model also has two equilibrium points and an important threshold, known as the basic reproductive number. The current work comprises the existence and uniqueness of the solution, the numerical analysis of the model, and finally, the graphical simulations. In the section on the existence and uniqueness of the solutions, the optimal existence is assessed in a closed and convex subset of function space. For the numerical study, a nonstandard finite difference (NSFD) scheme is adopted to approximate the solution of the continuous mathematical model. The main reason for the adoption of this technique is delineated in the form of the positivity of the state variables, which is necessary for any population model. The positivity of the applied scheme is verified by the concept of M-matrices. Since the numerical method gives a discrete system of difference equations corresponding to a continuous system, some other relevant properties are also needed to describe it. In this respect, the consistency and stability of the designed technique are corroborated by using Taylor’s series expansion and Von Neumann’s stability criteria, respectively. To authenticate the proposed NSFD method, two other illustrious techniques are applied for the sake of comparison. In the end, numerical simulations are also performed that show the efficiency of the prescribed technique, while the existing techniques fail to do so.
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Le contrôle bibliographique ouvert
DOI retrouvé dans Crossref DOI retrouvé ; titre concordant.
- Titre Crossref
- Analysis of a Modified System of Infectious Disease in a Closed and Convex Subset of a Function Space with Numerical Study
- Date Crossref
- 12/01/2023
- Éditeur
- MDPI AG
- Type
- journal-article
Ce recoupement confirme des métadonnées liées au DOI. Il ne confirme ni la méthode ni les conclusions de l’étude, et il ne compte pas comme une seconde source scientifique indépendante.
Où se fait cette recherche
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Lahore College for Women University Department of Mathematics pays non établi dans la noticeUniversité ou école supérieure
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Siirt Üniversitesi pays non établi dans la noticeUniversité ou école supérieure
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Middle East Technical University pays non établi dans la noticeUniversité ou école supérieure
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Lebanese American University Department of Computer Science and Mathematics pays non établi dans la noticeUniversité ou école supérieure
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Near East University Department of Mathematics pays non établi dans la noticeUniversité ou école supérieure
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University of Management and Technology Department of Mathematics pays non établi dans la noticeUniversité ou école supérieure
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University of Lahore Department of Mathematics and Statistics pays non établi dans la noticeUniversité ou école supérieure
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National University of Sciences and Technology Department of Humanities & Basic Sciences pays non établi dans la noticeUniversité ou école supérieure
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University of Central Punjab pays non établi dans la noticeUniversité ou école supérieure
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University of the Basque Country pays non établi dans la noticeUniversité ou école supérieure
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Art and Science Faculty Department of Mathematics pays non établi dans la noticeUniversité ou école supérieure
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Faculty of Science and Technology Department of Mathematics pays non établi dans la noticeUniversité ou école supérieure
Department of Mathematics — Lahore College for Women University, Siirt Üniversitesi et Middle East Technical University, avec 9 autres affiliations.
Une affiliation ne permet pas de déduire la nationalité d’un auteur.