TY  - JOUR
T1  - Biufrcation Analysis on Infection Disease Treatment by Compartment Models
AU - Lamessa, Tadesse 
JO  - Journal of Modern Mathematics and Statistics
VL  - 13
IS  - 2
SP  - 28
EP  - 39
PY  - 2019
DA  - 2001/08/19
SN  - 1994-5388
DO  - jmmstat.2019.28.39
UR  - https://makhillpublications.co/view-article.php?doi=jmmstat.2019.28.39
KW  - Epidemic model
KW  -nonlinear incidence rate
KW  -basic reproduction number
KW  -local
KW  -global stability
KW  -bifurcations
AB  - In this thesis we consider an epidemic model with a constant removal rate of infective individuals is
proposed to understand the effect of limited resources for treatment of infective on the disease spread. It is
found that it is unnecessary to take such a large treatment capacity that endemic equilibria disappear to
eradicate the disease. It is shown that the outcome of disease spread may depend on the position of the initial
states for certain range of parameters. It is also shown that the model undergoes a sequence of bifurcations
including saddle-node bifurcation, subcritical Hopf bifurcation.
ER  -