Dynamics of Nicholson’s blowflies system with spatial heterogeneity, nonlocal operator and delay

In this paper, some properties of the solutions for Nicholson’s blowflies system with nonlocal operator and delay are performed in heterogeneous environment. First of all, the existence and uniqueness of the positive steady-state solution are studied by Lyapunouv–Schmidt reduction method and implicit function theorem. Moreover, the asymptotic behaviors of trivial and nontrivial positive steady-state solutions to the system are also researched through the sub-supersolution method and iterative method. This paper ends with conclusion and discussion.