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• W2113759516 abstract "We show how to incorporate a functional response in recent models of Gurtin, Levine, and others for egg cannibalism. Starting from a relatively complicated model with vulnerability spread over an age interval of finite duration ϵ, we arrive at a much simpler model by passing to the limit ϵ ↓ 0. It turns out that survivorship through the vulnerable stage is implicitly determined by the solution of a scalar equation. Subsequently we study the existence and stability of steady states, and we find (analytically in a simple case, numerically in more general situations) curves in a two-dimensional parameter space where a nontrivial steady state loses its stability and a periodic solution arises through a Hopf bifurcation." @default.
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• W2113759516 date "1986-03-01" @default.
• W2113759516 modified "2023-10-13" @default.
• W2113759516 title "Simple mathematical models for cannibalism: A critique and a new approach" @default.
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• W2113759516 doi "https://doi.org/10.1016/0025-5564(86)90029-5" @default.
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