TY - JOUR
T1 - A discrete hierarchical model of intra-specific competition
AU - Jang, S. R.J.
AU - Cushing, J. M.
N1 - Copyright:
Copyright 2017 Elsevier B.V., All rights reserved.
PY - 2003/4/1
Y1 - 2003/4/1
N2 - 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.
AB - 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.
KW - Contest and scramble competition
KW - Discrete Dulac criterion
KW - Equilibrium resilience
KW - Hierarchical population model
KW - Uniform persistence
UR - http://www.scopus.com/inward/record.url?scp=0037949110&partnerID=8YFLogxK
U2 - 10.1016/S0022-247X(03)00050-7
DO - 10.1016/S0022-247X(03)00050-7
M3 - Article
AN - SCOPUS:0037949110
VL - 280
SP - 102
EP - 122
JO - Journal of Mathematical Analysis and Applications
JF - Journal of Mathematical Analysis and Applications
SN - 0022-247X
IS - 1
ER -