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We analyse some aspects of the global dynamics for
autonomous $n$-dimensional Lotka-Volterra systems with infinite delay and patch structure, such as extinction, persistence, global attractivity of a positive equilibrium $x^*$ (when it exists), existence of a positive heteroclinic solution connecting zero to $x^*$. Our approach exploits the theory of monotone dynamical systems, which is applied even for non-cooperative systems via comparison results with an auxiliary cooperative system. |
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