Abstract
We propose a theoretical model for a predator-prey interaction where the prey is a stage-structured population with varying maturity times for the immature stage. The interaction terms between immatures and adults are interpreted as cooperation. The predator consumes both the young and the adult of the prey and this prey population is more prone to predation at higher densities. The existence and stability of the equilibrium set are discussed. Using maturity time as a bifurcation parameter it is shown that Hopf bifurcation could occur.
Original language | English |
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Pages (from-to) | 125-135 |
Number of pages | 11 |
Journal | ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik |
Volume | 82 |
Issue number | 2 |
DOIs | |
Publication status | Published - 2002 |
Keywords
- Cooperation
- Hopf bifurcation
- Predator
- Prey
- Switching
- Time delay
ASJC Scopus subject areas
- Computational Mechanics
- Applied Mathematics