Pair formation models with maturation period |
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Authors: | K. P. Hadeler |
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Affiliation: | (1) Lehrstuhl für Biomathematik, Universität Tübingen, Auf der Morgenstelle 10, D-72076 Tübingen, Germany |
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Abstract: | The standard model for pair formation is generalized to include a maturation period. This model in the form of three coupled delay equations is a special case of the general age-structured model for a two-sex population. The exact conditions for the existence of an exponential (persistent) two-sex solution are derived. It is shown that this solution is unique and locally stable. In order to achieve these results the theory of homogeneous differential equations is extended to a class of homogeneous delay equations. |
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Keywords: | Demography Two-sex problem Age structure Pair formation Delay equation Homogeneous equation |
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