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The Dynamical Behavior of a Two Patch Predator-Prey Model

College of William and Mary
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  • Predator-Prey Model
  • Ecology


A two-patch Rosenzweig-MacArthur system describing predator-prey interaction in a spatially inhomogeneous environment is investigated. The global stability of equilibrium solutions for the homogeneous case is proved using Lyapunov functional, and stability analysis for the coexistence equilibrium is also given. Numerical bifurcation diagrams and numerical simulations of the limit cycle dynamics for the inhomogeneous case are obtained to compliment theoretical approach. Some of our results help to explain and clarify possible solutions to the Paradox of Enrichment in ecological studies.

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