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Positive steady states of the Holling-Tanner prey-predator model with diffusion. (English) Zbl 1144.35409

The authors deal with the Holling-Tanner prey-predator model with diffusion subject to the homogeneous Neumann boundary conditions. The authors prove the existence and non-existence of positive non-constant steady states.

MSC:

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