Article Contents
Article Contents

# On a nonlocal reaction-diffusion population model

• In this paper, we consider a nonlocal parabolic initial value problem that models a single species which is diffusing, aggregating, reproducing and competing for space and resources. We establish a comparison principle and construct monotone sequences to show the existence and uniqueness of the solution to the problem. We also analyze the long-time behavior of the solution.
Mathematics Subject Classification: 35A05, 35B40, 35K57, 92D25.

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