| Autor: |
H. M. Mohammadi Nezhad, O. Rabiei Motlagh, M. Baniasadi Moghadam |
| Rok vydání: |
2014 |
| Předmět: |
|
| Zdroj: |
International Mathematical Forum. 9:697-712 |
| ISSN: |
1314-7536 |
| DOI: |
10.12988/imf.2014.4349 |
| Popis: |
The main objective of this paper is to control an infectious disease by carrying out a vaccination program in a SIRS model where primary and secondary infected (or susceptible) individuals are different in infectivity (or susceptibility) and recovery rate. Vaccination program to be performed by vaccinating two different percentages of primary and secondary susceptible individuals. To understand the behavior of infection we compute the basic reproduction number R0, and discuss it’s relationship with the existence, stability and bifurcation of equilibriums. Also we obtain a threshold for vaccine coverage percentage in order the infection to be controlled. |
| Databáze: |
OpenAIRE |
| Externí odkaz: |
|
