An Analysis of a Partial Temporary Immunity SIR Epidemic Model with Nonlinear Treatment Rate
- Resource Type
- Authors
- Majeed
- Source
- Baghdad Science Journal. 16:0639
- Subject
- General Computer Science
General Mathematics
Botany
Quantitative Biology::Populations and Evolution
General Physics and Astronomy
General Chemistry
Treatment rate
Artificial induction of immunity
Epidemic model
Agricultural and Biological Sciences (miscellaneous)
General Biochemistry, Genetics and Molecular Biology
Mathematics
- Language
- ISSN
- 2411-7986
2078-8665
A partial temporary immunity SIR epidemic model involv nonlinear treatment rate is proposed and studied. The basic reproduction number is determined. The local and global stability of all equilibria of the model are analyzed. The conditions for occurrence of local bifurcation in the proposed epidemic model are established. Finally, numerical simulation is used to confirm our obtained analytical results and specify the control set of parameters that affect the dynamics of the model.