Title | BIFURCATION ANALYSIS OF AN SIR MODEL |
Publication Type | Journal Article |
Year of Publication | 2016 |
Authors | M. AMALEH, KARIMI, DASI, A |
Secondary Title | Communications in Applied Analysis |
Volume | 20 |
Issue | 3 |
Start Page | 317 |
Pagination | 8 |
Date Published | 09/2016 |
Type of Work | scientific: mathematics |
ISSN | 1083-2564 |
AMS | 92C60, 92D30 |
Abstract | This paper is devoted to study a three dimensional Susceptible-Infected-Recovered (SIR) epidemic model. The stability of the equilibrium points in dynamical models is one of the most important issues. Here so we will study the stability of equilibrium points of the epidemic model by using bifurcation theory. For this purpose, we investigate transcritical, pitchfork and saddle-node bifurcation points. |
URL | http://www.acadsol.eu/en/articles/20/3/4.pdf |
DOI | 10.12732/caa.v20i3.4 |
Short Title | BIFURCATION ANALYSIS |
Alternate Journal | CAA |
Refereed Designation | Refereed |
Full Text | REFERENCES [1] W.O. Kermack, A.G. McKendrick, Contribution to the mathematical theory of epidemics, Proc. R. Soc. Lond A, 115 (1927), 700-721. |