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Zbl 0760.92018
Aiello, Walter G.; Freedman, H.I.; Wu, J.
Analysis of a model representing stage-structured population growth with state-dependent time delay. (English)
[J] SIAM J. Appl. Math. 52, No.3, 855-869 (1992). ISSN 0036-1399; ISSN 1095-712X/e

The authors study a model of stage-structured population growth where the age to maturity is itself state dependent. It is found that there always exists a positive equilibrium but, unlike the constant delay case, this equilibrium may not be unique. Criteria for the uniqueness of the equilibria are obtained and the stability of the equilibria is also discussed.
[A.I.Csetényi (Budapest)]

MSC 2000:: *92D25 Population dynamics
34K20 Stability theory of functional-differential equations
92D40 Ecology

Keywords: existence of positive equilibria; uniqueness of equilibria; stability of equilibria; attractor; boundedness; positivity; single-species; time delay; stage-structured population growth; positive equilibrium

Cited in: Zbl 1125.92049 Zbl 1069.34102 Zbl 1001.34068 Zbl 0777.92014

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