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Discontinuity, Nonlinearity, and Complexity 11(3) (2022) 395--403 | DOI:10.5890/DNC.2022.09.003

Mohamed Biomy

Department of Mathematics, College of Sciences and Arts, Qassim University, Ar-Rass, Saudi Arabia

Department of Mathematics and Computer Science, Faculty of Science, Port Said University, Egypt

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Abstract

In the present paper, we consider a class of reaction-diffusion systems based on the Lotka-Volterra differential equation model of a predator-prey interaction with the existence of memory terms. We show that every solution with initial values in $[0,l]$ and subject to homogeneous Neumann boundary conditions decays to a spatially homogeneous function of time.

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