On a multi-order fractional SIRC model for Influenza
Since influenza is a seasonal mutating disease, in this paper, we propose and analyze a multi-fractional version of the SIRC model (which relates the S-susceptible, I-Infected, R-recovered, and C-cross-immune individuals in the population N) to capture the immunological memory gained by individuals...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | Portuguese |
| Published: |
UNESP
2022-09-01
|
| Series: | CQD Revista Eletrônica Paulista de Matemática |
| Subjects: | |
| Online Access: | https://sistemas.fc.unesp.br/ojs/index.php/revistacqd/article/view/303 |
| _version_ | 1797723956468252672 |
|---|---|
| author | Ana Carla Ferreira Nicola Gomes Adriano De Cezaro |
| author_facet | Ana Carla Ferreira Nicola Gomes Adriano De Cezaro |
| author_sort | Ana Carla Ferreira Nicola Gomes |
| collection | DOAJ |
| description |
Since influenza is a seasonal mutating disease, in this paper, we propose and analyze a multi-fractional version of the SIRC model (which relates the S-susceptible, I-Infected, R-recovered, and C-cross-immune individuals in the population N) to capture the immunological memory gained by individuals that have previous contact Influenza strains. We show the well-posedness and consistency of the proposed multi-fractional dynamics and analyze the stability of stationary points with an analytical/numerical strategy. The simulated scenarios show that the proposed model describes more precisely reported Influenza H1N1 data, from the State of Rio Grande do Sul, in the year 2010. Moreover, it shows that the memory enhanced by the fractional dynamics (that model the immunological memory) implies a substantial decrease of susceptibility of re-infection by strain mutations in long-running diseases, but is larger in the beginning.
|
| first_indexed | 2024-03-12T10:10:20Z |
| format | Article |
| id | doaj.art-1f6c4d4edbdf4d7cb2fc10ad46f17c2e |
| institution | Directory Open Access Journal |
| issn | 2316-9664 |
| language | Portuguese |
| last_indexed | 2024-03-12T10:10:20Z |
| publishDate | 2022-09-01 |
| publisher | UNESP |
| record_format | Article |
| series | CQD Revista Eletrônica Paulista de Matemática |
| spelling | doaj.art-1f6c4d4edbdf4d7cb2fc10ad46f17c2e2023-09-02T10:55:11ZporUNESPCQD Revista Eletrônica Paulista de Matemática2316-96642022-09-01222On a multi-order fractional SIRC model for InfluenzaAna Carla Ferreira Nicola Gomes0Adriano De Cezaro1Institute of Mathematics, Statistics and Physics Federal Univ. of Rio Grande Institute of Mathematics, Statistics and Physics Federal Univ. of Rio Grande Since influenza is a seasonal mutating disease, in this paper, we propose and analyze a multi-fractional version of the SIRC model (which relates the S-susceptible, I-Infected, R-recovered, and C-cross-immune individuals in the population N) to capture the immunological memory gained by individuals that have previous contact Influenza strains. We show the well-posedness and consistency of the proposed multi-fractional dynamics and analyze the stability of stationary points with an analytical/numerical strategy. The simulated scenarios show that the proposed model describes more precisely reported Influenza H1N1 data, from the State of Rio Grande do Sul, in the year 2010. Moreover, it shows that the memory enhanced by the fractional dynamics (that model the immunological memory) implies a substantial decrease of susceptibility of re-infection by strain mutations in long-running diseases, but is larger in the beginning. https://sistemas.fc.unesp.br/ojs/index.php/revistacqd/article/view/303Multi-fractional SIRC modelInfluenzaCrossimmunity. |
| spellingShingle | Ana Carla Ferreira Nicola Gomes Adriano De Cezaro On a multi-order fractional SIRC model for Influenza CQD Revista Eletrônica Paulista de Matemática Multi-fractional SIRC model Influenza Crossimmunity. |
| title | On a multi-order fractional SIRC model for Influenza |
| title_full | On a multi-order fractional SIRC model for Influenza |
| title_fullStr | On a multi-order fractional SIRC model for Influenza |
| title_full_unstemmed | On a multi-order fractional SIRC model for Influenza |
| title_short | On a multi-order fractional SIRC model for Influenza |
| title_sort | on a multi order fractional sirc model for influenza |
| topic | Multi-fractional SIRC model Influenza Crossimmunity. |
| url | https://sistemas.fc.unesp.br/ojs/index.php/revistacqd/article/view/303 |
| work_keys_str_mv | AT anacarlaferreiranicolagomes onamultiorderfractionalsircmodelforinfluenza AT adrianodecezaro onamultiorderfractionalsircmodelforinfluenza |