HOPF BIFURCATION AND STABILITY IN A BEDDINGTON-DEANGELIS PREDATOR-PREY MODEL WITH STAGE STRUCTURE FOR PREDATOR AND TIME DELAY INCORPORATING PREY REFUGE

In this paper, apac1/60/1/cw we consider a Beddington-DeAngelis predator-prey system with stage structure for predator and time delay incorporating prey refuge.By analyzing the characteristic equations, we study the local stability of the equilibrium of the system.Using the delay as a bifurcation parameter, the model undergoes a Hopf bifurcation at

Abstract Background Pulmonary artery catheter insertion is a routine practice in high-risk patients undergoing cardiac surgery.However, pulmonary artery catheter insertion is associated with numerous complications that can be devastating to the patient.Incorrect placement is an overlooked complication with few case reports to date.Case presentation

BackgroundChronic cerebrospinal venous insufficiency bolia outlet gent (CCSVI) was described as a vascular condition characterized by anomalies of veins outside the skull was reported to be associated with multiple sclerosis (MS).The objective was to assess the associations between HLA DRB1*1501 status and the occurrence of CCSVI in MS patients.Met

The bolia outlet gent research of corrosion behavior of T/P91 steel was investigated taking the case for the T/P91 steel corrosions existed during the construction process of a thermal power plant in Hunan province.The morphology change, product component and mechanical properties change were studied during the corrosion process of SO4-2.The result