The bifurcation analysis of an ecological model involving SIS disease with a prey refuge

Document Type : Research Paper


1 Department of mathematics, College of Science, University of Baghdad, Baghdad, Iraq

2 Department of Control and Systems Engineering, University of Technology, Baghdad, Iraq


This paper deals with an epidemiological system with stage-structured, harvesting and refuge for only prey, the disease of type (SIS) is just in the immature of the prey. The sufficient conditions guaranteeing the occurrence of local bifurcation and the Hopf bifurcation for the system are obtained. Further, the validity of our main results was demonstrated by numerical analysis.