A nonlocal problem from conservation biology Articles uri icon

publication date

  • December 2014

start page

  • 4035

end page

  • 4059


  • 6


  • 46

International Standard Serial Number (ISSN)

  • 0036-1410

Electronic International Standard Serial Number (EISSN)

  • 1095-7154


  • 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.


  • biology; parabolic equations; conservation biology; mathematical model; bio-diversity-rich tropics; nonlocal spatially heterogeneous parabolic problem