Existence and Uniqueness Results for a Smooth Model of Periodic Infectious Diseases
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 smal...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2016-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2016/1708527 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832565569685028864 |
|---|---|
| author | Guy Degla |
| author_facet | Guy Degla |
| author_sort | Guy Degla |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-300328858ca749a3b8dece108787c230 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-300328858ca749a3b8dece108787c2302025-02-03T01:07:14ZengWileyAbstract and Applied Analysis1085-33751687-04092016-01-01201610.1155/2016/17085271708527Existence and Uniqueness Results for a Smooth Model of Periodic Infectious DiseasesGuy Degla0International Centre for Theoretical Physics (ICTP), Strada Costiera 11, 34151 Trieste, ItalyWe 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.http://dx.doi.org/10.1155/2016/1708527 |
| spellingShingle | Guy Degla Existence and Uniqueness Results for a Smooth Model of Periodic Infectious Diseases Abstract and Applied Analysis |
| title | Existence and Uniqueness Results for a Smooth Model of Periodic Infectious Diseases |
| title_full | Existence and Uniqueness Results for a Smooth Model of Periodic Infectious Diseases |
| title_fullStr | Existence and Uniqueness Results for a Smooth Model of Periodic Infectious Diseases |
| title_full_unstemmed | Existence and Uniqueness Results for a Smooth Model of Periodic Infectious Diseases |
| title_short | Existence and Uniqueness Results for a Smooth Model of Periodic Infectious Diseases |
| title_sort | existence and uniqueness results for a smooth model of periodic infectious diseases |
| url | http://dx.doi.org/10.1155/2016/1708527 |
| work_keys_str_mv | AT guydegla existenceanduniquenessresultsforasmoothmodelofperiodicinfectiousdiseases |