Abstract
First a model for a single species cannibalizing its own young is studied. If the birth rate is high enough to prevent extinction, a stable positive equilibrium or a periodic solution exists. Then three cases of a two-species model are studied. If predators eat all ages of prey equally, the system behaves asymptotically like a predator-prey system without age structure. If predators eat only newborn prey, unbounded oscillations can arise, but realistic refinements stabilize the model. If predators eat all ages but more of the very young and very old, bifurcating periodic solutions exist if the age bias is small enough.
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© 1983 Springer-Verlag Berlin Heidelberg
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Levine, D.S. (1983). Some Age-Structure Effects in Predator-Prey Models. In: Freedman, H.I., Strobeck, C. (eds) Population Biology. Lecture Notes in Biomathematics, vol 52. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-87893-0_38
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DOI: https://doi.org/10.1007/978-3-642-87893-0_38
Publisher Name: Springer, Berlin, Heidelberg
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