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

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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.

论文关键词:Stage structure,Reaction–diffusion,Nonlocal delay,Functional response,Convergence

论文评审过程:Available online 27 September 2005.

论文官网地址:https://doi.org/10.1016/j.amc.2005.08.014