Oscillation and Global Attractivity in Stage-Structured Population Models

Cao, Yulin ; Freedman, H. I.

Canadian mathematical bulletin, Tome 36 (1993) no. 2, pp. 129-138

Résumé

Stage-structured models of population growth have been considered in the constant delay and state-dependent delay cases, when modeled by retarded functional differential equations. In the first case we settle a conjecture posed by Aiello and Freedman [1] by showing the existence of oscillatory solutions. In the second case, we show that under suitable criteria, all positive solutions tend to a global attractor.

Détail

DOI : 10.4153/CMB-1993-019-9

Mots-clés : 34K15, 34K20, 92D40

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