Prey-Predator models on graphs

Published 10 Oct 2022 in math.AP | (2210.04507v2)

Abstract: In this paper, we study the Lotka-Volterra prey-predator models consisting of two species on finite connected graphs under Neumann condition and the condition that there is no boundary condition. We establish the global stability of the unique constant equilibrium solution of each parabolic system.

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