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math.AP2022★ 1 cited
Lotka-Volterra competition models on finite graphs
Yuanyang Hu, Chengxia Lei
In this paper, we study three two competing species Lotka-Volterra competition models on finite connected graphs, with Dirichlet, Neumann or no boundary conditions. We get that whe…
math.AP2022
Prey-Predator models on graphs
Yuanyang Hu, Chengxia Lei
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 boun…
math.AP2022★ 1 cited
Monotone methods for semilinear parabolic and elliptic equations on graphs
Yuanyang Hu, Chengxia Lei
This paper is devoted to investigate the extinction and propagation properties of solutions to the graph Laplacian parabolic problems with Kpp type or Allen-Cahn type forcing terms…