摘要：By incorporating the density dependent birth rateto the traditional May type cooperative system, we propose thefollowing cooperative system where b ij ,i = 1,2,j = 1,2,3,4,a 11 ,a 12 , a 21 , a 22 , k 1 and k 2are all positive constants. By applying the comparison principle,sufficient conditions which ensure the extinction, partial sur-vival and permanence of the system are obtained, respectively.By applying the Dulac criterion, a set of sufficient conditionswhich ensure the existence of a unique globally asymptoticallystable equilibrium is obtained. Numeric simulations are carriedout to show the feasibility of the main results.
关键词：Global attractivity;Cooperative model; Density dependent birth rate
