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Dynamical behaviors of a two-competitive metapopulation system with impulsive control

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In this paper, we study the dynamical behaviors of a two-competitive metapopulation system with impulsive control and focus on the stable coexistence of the superior and inferior species. A PoincarĂ©… Click to show full abstract

In this paper, we study the dynamical behaviors of a two-competitive metapopulation system with impulsive control and focus on the stable coexistence of the superior and inferior species. A Poincaré map is introduced to prove the existence of a periodic solution and its stability. It is also shown that a stably positive periodic solution bifurcates from the semi-trivial periodic solution through a transcritical bifurcation.

Keywords: dynamical behaviors; behaviors two; competitive metapopulation; metapopulation system; two competitive; system impulsive

Journal Title: Advances in Difference Equations
Year Published: 2017

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