Panico, Claudia Numerical Analysis of Integral Epidemic Models Incorporating Human Behaviour. [Tesi di dottorato]
![[thumbnail of PHD_thesis_Panico.pdf]](https://www.fedoa.unina.it/style/images/fileicons/other.png "PHD_thesis_Panico.pdf") |
Documento PDF
PHD_thesis_Panico.pdf Download (5MB) |
| Tipologia del documento: | Tesi di dottorato |
|---|---|
| Lingua: | English |
| Titolo: | Numerical Analysis of Integral Epidemic Models Incorporating Human Behaviour |
| Autori: | Autore Email Panico, Claudia claudia.panico2@unina.it |
| Numero di pagine: | 103 |
| Istituzione: | Università degli Studi di Napoli Federico II |
| Dottorato: | Matematica e Applicazioni |
| Ciclo di dottorato: | 38 |
| Coordinatore del Corso di dottorato: | nome email Nitsch, Carlo c.nitsch@unina.it |
| Tutor: | nome email Buonomo, Bruno [non definito] Messina, Eleonora [non definito] |
| Numero di pagine: | 103 |
| Parole chiave: | Mathematical epidemiology, Renewal equations, Stability, Information, Human behaviour, Integro-differential equations, Non-standard finite difference scheme, Discrete models, Perturbation theory |
| Settori scientifico-disciplinari del MIUR: | Area 01 - Scienze matematiche e informatiche > MAT/07 - Fisica matematica Area 01 - Scienze matematiche e informatiche > MAT/08 - Analisi numerica |
| Informazioni aggiuntive: | 38 ciclo di dottorato |
| Depositato il: | 20 Dic 2025 19:06 |
| Ultima modifica: | 02 Set 2026 08:09 |
| URI: | https://www.fedoa.unina.it/id/eprint/17071 |
Abstract
This thesis is the result of the research I have carried out during my Ph.D. studies in Mathematics and Applications at University of Naples Federico II, between 2022 and 2025. Over the past three years, my work has focused on numerical solution of integral models with applications in epidemiology. Specifically, the aim of my research has been twofold: on the one hand, the development of epidemic models that incorporate behavioural feedback mechanisms, reflecting changes in individual behaviour in response to an ongoing epidemic, together with their formulation and mathematical analysis; and on the other hand, the design of numerical methods intended to accurately preserve the dynamical properties of the corresponding continuous systems. The thesis is based on a selection of the works I developed during this period. In particular, it includes three published research papers and one manuscript currently in preparation. The choice of including these works was motivated by their coherence with the overarching theme of the thesis and their contribution to addressing the research questions defined at the beginning of my doctoral journey. Some additional results obtained during this period, although not presented here in detail, have also contributed to shaping the overall perspective of my research.
Downloads
Downloads per month over past year
Actions (login required)
 |
Modifica documento |
