Dynamics of a stage-structured population model incorporating a state-dependent maturation delay (Q2572115)
From MaRDI portal
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Dynamics of a stage-structured population model incorporating a state-dependent maturation delay |
scientific article |
Statements
Dynamics of a stage-structured population model incorporating a state-dependent maturation delay (English)
0 references
14 November 2005
0 references
A generalization of Nicholson's blowfies model is studied. The population is divided into mature and immature. The delay is considered to be state dependent. Also a general birth function is used. Sufficient conditions for the boundedness, positivity (hence persistence) of the solutions are shown. Sufficient conditions for the existence of a positive equilibrium and its local asymptotic stability are derived. Sufficient conditions for the global stability of the extinction solution are given. Numerical solutions indicate the existence of a robust periodic solution.
0 references
population model, delay
0 references
stage structure
0 references
stability
0 references
0 references
0 references
