Hopf bifurcation analysis of a predator prey system involving switching (Q2703621)

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Hopf bifurcation analysis of a predator prey system involving switching
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    2 April 2001
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    Hopf bifurcation analysis of a predator prey system involving switching (English)
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    This paper is devoted to a system containing a prey species in two habitats and predator species interacting with these. The authors consider two models. In the first model predator feeds prey species indiscriminately while in the second model predator would catch a number of one or more species, proportional to their abundance, feeding preferentially on the most numerous species. They show that hopf bifurcation occur with respect to the coversion rate of prey to predator. They also provide numerical results confirming their theoretical ones.
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