A discrete hierarchical model with either age, size, or stage structure is derived. The resulting scalar equation for total population level is then used to study contest and scramble intra-specific competition. It is shown how equilibrium levels and resilience are related for the two different competition situations. In particular, scramble competition yields a higher population level while contest competition is more resilient if the uptake rate as a function of resource density is concave down. The conclusions are reversed if the uptake rate is concave up.
- Contest and scramble competition
- Discrete Dulac criterion
- Equilibrium resilience
- Hierarchical population model
- Uniform persistence
ASJC Scopus subject areas
- Applied Mathematics