A reaction-diffusion predator-prey model with stage structure and nonlocal delay

摘要

In this paper, a reaction-diffusion predator-prey model with nonlocal delay due to gestation of the predator and stage structure for the prey is investigated. In the case of a general domain, sufficient conditions are derived for the global convergence of positive solutions to the proposed problem by using the energy function method. Numerical simulations are carried out to illustrate the main results. (c) 2005 Elsevier Inc. All rights reserved.