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Global bifurcation of co-existence states for a predator-prey-mutualist model with diffusion. (English) Zbl 1152.35395

Summary: In this paper, a predator-prey-mutualist system is studied by means of global bifurcation theory. The conditions for the existence of co-existence states and the corresponding parameter regions are established, and some local stability results for the co-existence states are also given.

MSC:

35K50 Systems of parabolic equations, boundary value problems (MSC2000)
92D25 Population dynamics (general)
35K57 Reaction-diffusion equations
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