TY  - JOUR
AU  - El-Marouf, S. A.A. 
AU  - Alihaby, S. M. 
PY  - 2011
TI  - Global Analysis of an Epidemic Model with Non-Linear Incidence Rate
JF  - Journal of Mathematics and Statistics
VL  - 7
IS  - 4
DO  - 10.3844/jmssp.2011.319.325
UR  - https://thescipub.com/abstract/jmssp.2011.319.325
AB  - Problem statement: In this study the equilibrium points and their local stability are found for SIQ and SIQR epidemic models with three forms of the incidence rates. Also, we study the global stability of the equilibrium by constructing the new forms of Liapounov functions. Conclusion/Recommendations: We explored the existence of Hopf bifurcation for some parameters in the given model.