Abstract
In this paper we study a mathematical model arising from crop raiding of large-bodied mammals living in the bio-diversity-rich tropics. The topic is important because it involves highly threaten species that can cause significant economic damage and be killed in retribution. The mathematical model consists of a nonlocal spatially heterogeneous parabolic problem of logistic type. Our main analytical result characterizes the existence of positive solutions of the model, and it provides us with some multiplicity results. The numerics computes them and ascertains their local stability in a simple class of symmetric one-dimensional prototype models.