Reduction of structured population models to threshold-type delay equations and functional differential equations: a case study.

H L Smith

doi:10.1016/0025-5564(93)90006-v

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Reduction of structured population models to threshold-type delay equations and functional differential equations: a case study.

H L Smith

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Abstract

It is shown by way of a simple example that certain structured population models lead naturally to differential delay equations of the threshold type and that these equations can be transformed in a natural way to functional differential equations. The model examined can be viewed as a model of competition between adults and juveniles of a single population. The results indicate the possibility that this competition leads to instability.

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Age Factors Animals Humans Models, Theoretical Population Dynamics Journal Article Research Support, U.S. Gov't, Non-P.H.S.

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H L Smith. 1993. Reduction of structured population models to threshold-type delay equations and functional differential equations: a case study.. https://doi.org/10.1016/0025-5564(93)90006-v

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