On the eradicability of infections with partially protective vaccination in models with backward bifurcation
The SIS model of Hadeler and Castillo-Chavez [9] with a constant transfer rate of susceptibles into a partially protected state has been modified to take into account vaccination at birth. The model shows backward bifurcation (existence of multiple endemic stationary states) for certain values of p...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2009-02-01
|
| Series: | Mathematical Biosciences and Engineering |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2009.6.395 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832590228792016896 |
|---|---|
| author | Muntaser Safan Klaus Dietz |
| author_facet | Muntaser Safan Klaus Dietz |
| author_sort | Muntaser Safan |
| collection | DOAJ |
| description | The SIS model of Hadeler and Castillo-Chavez [9] with a constant transfer rate of susceptibles into a partially protected state has been modified to take into account vaccination at birth. The model shows backward bifurcation (existence of multiple endemic stationary states) for certain values of parameters. Parameter values ensuring the existence and nonexistence of endemic equilibria have been discussed. Local and global stability of equilibria have been investigated. The minimum effort required to eradicate the infection has been determined. |
| format | Article |
| id | doaj-art-f0e613714f764c8f8917398e60a6e1e8 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2009-02-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-f0e613714f764c8f8917398e60a6e1e82025-01-24T01:59:06ZengAIMS PressMathematical Biosciences and Engineering1551-00182009-02-016239540710.3934/mbe.2009.6.395On the eradicability of infections with partially protective vaccination in models with backward bifurcationMuntaser Safan0Klaus Dietz1Mathematics Department, Faculty of Science, Mansoura University, 35516 MansouraMathematics Department, Faculty of Science, Mansoura University, 35516 MansouraThe SIS model of Hadeler and Castillo-Chavez [9] with a constant transfer rate of susceptibles into a partially protected state has been modified to take into account vaccination at birth. The model shows backward bifurcation (existence of multiple endemic stationary states) for certain values of parameters. Parameter values ensuring the existence and nonexistence of endemic equilibria have been discussed. Local and global stability of equilibria have been investigated. The minimum effort required to eradicate the infection has been determined.https://www.aimspress.com/article/doi/10.3934/mbe.2009.6.395local stabilityglobal stabilityeradication effort.epidemic modelbackward bifurcationvaccination |
| spellingShingle | Muntaser Safan Klaus Dietz On the eradicability of infections with partially protective vaccination in models with backward bifurcation Mathematical Biosciences and Engineering local stability global stability eradication effort. epidemic model backward bifurcation vaccination |
| title | On the eradicability of infections with partially protective vaccination in models with backward bifurcation |
| title_full | On the eradicability of infections with partially protective vaccination in models with backward bifurcation |
| title_fullStr | On the eradicability of infections with partially protective vaccination in models with backward bifurcation |
| title_full_unstemmed | On the eradicability of infections with partially protective vaccination in models with backward bifurcation |
| title_short | On the eradicability of infections with partially protective vaccination in models with backward bifurcation |
| title_sort | on the eradicability of infections with partially protective vaccination in models with backward bifurcation |
| topic | local stability global stability eradication effort. epidemic model backward bifurcation vaccination |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2009.6.395 |
| work_keys_str_mv | AT muntasersafan ontheeradicabilityofinfectionswithpartiallyprotectivevaccinationinmodelswithbackwardbifurcation AT klausdietz ontheeradicabilityofinfectionswithpartiallyprotectivevaccinationinmodelswithbackwardbifurcation |