an ecological model involving nonlocal operator arising in ecosystems

This paper aims to establish the existence of positive solutions in w1,p0(ω),forthe a class of infinite semipositone problems. our approach is based on the method ofsub- and super-solutions.the concepts of sub- and super-solution were introduced bynagumo [6] in 1937 who proved, using also the shooting method, the existence of atleast one solution for a class of nonlinear sturm-liouville problems.