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- Title
An Analysis of a Partial Temporary Immunity SIR Epidemic Model with Nonlinear Treatment Rate.
- Authors
Majeed, Saba Noori; Naji, Raid Kamel
- Abstract
A partial temporary immunity SIR epidemic model involv nonlinear treatment rate is proposed and studied. The basic reproduction number 𝑅R0 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.
- Subjects
BASIC reproduction number; IMMUNITY; COMPUTER simulation
- Publication
Baghdad Science Journal, 2019, Vol 16, Issue 3, p639
- ISSN
2078-8665
- Publication type
Article
- DOI
10.21123/bsj.2019.16.3.0639