Prey-Predator models on graphs
Yuanyang Hu, Chengxia Lei
TL;DR
This paper analyzes prey-predator models on graphs, proving the global stability of equilibrium solutions for systems involving two species under different boundary conditions.
Contribution
It introduces stability results for Lotka-Volterra prey-predator models on finite graphs with Neumann and no boundary conditions.
Findings
Global stability of equilibrium solutions established
Results apply to systems with different boundary conditions
Advances understanding of prey-predator dynamics on graph structures
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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Taxonomy
TopicsMathematical and Theoretical Epidemiology and Ecology Models · Evolutionary Game Theory and Cooperation · Opinion Dynamics and Social Influence