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non-constant positive steady states

Proceedings of the London Mathematical Society (1)

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Non-constant positive steady states of a predator-prey system with non-monotonic functional response and diffusion
Peter Y. H. Pang, Mingxin Wang
Journal:

Proceedings of the London Mathematical Society / Volume 88 / Issue 1 / January 2004

Published online by Cambridge University Press:

13 January 2004, pp. 135-157

Print publication:

January 2004
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This paper deals with non-constant positive steady-state solutions of a predator-prey system with non-monotonic functional response, also called Holling type-IV interaction terms, and diffusion under the homogeneous Neumann boundary condition. We first establish positive upper and lower bounds for such solutions, and then study their non-existence, global existence and bifurcation.