| Date de soumission: | 09-02-2021 |
|---|---|
| Année de Publication: | 2016 |
| Entité/Laboratoire | Autres Laboratoires |
| Document type : | Article |
| Discipline(s) : | Mathématiques |
| Titre | Existence and uniqueness results for a smooth model of periodic infectious diseases |
|---|---|
| Auteurs | DEGLA GUY AYMARD [1], |
| Journal: | Abstract and Applied Analysis (AAA). Hindawi Publishing Corporation |
| Catégorie Journal: | Internationale |
| Impact factor: | |
| Volume Journal: | 2016 |
| DOI: | http://dx.doi.org/10.1155/2016/1708527 |
| Resume | We prove the existence of a curve (with respect to the scalar delay) of periodic positive solutions for a smooth model of Cooke- Kaplan’s integral equation by using the implicit function theorem under suitable conditions. We also show a situation in which any bounded solution with a sufficiently small delay is isolated, clearing an asymptotic stability result of Cooke and Kaplan. |
| Mots clés | Integral equation. Cooke-Kaplan model. Periodicity. Delay. Positive solution. Implicit function theorem. Stability. |
| Pages | 1 - 4 |
| Fichier |