TY - JOUR
T1 - A general structured model for a sequential hermaphrodite population
AU - Calsina, Àngel
AU - Ripoll, Jordi
PY - 2007/8/1
Y1 - 2007/8/1
N2 - This paper introduces and analyzes a model of sequential hermaphroditism in the framework of continuously structured population models with sexual reproduction. The model is general in the sense that the birth, transition (from one sex to the other) and death processes of the population are given by arbitrary functions according to a biological meaningful hypotheses. The system is reduced to a single equation introducing the intrinsic sex-ratio subspace. The steady states are analyzed and illustrated for several cases. In particular, neglecting the competition for resources we have explicitly found a unique non-trivial equilibrium which is unstable. © 2006 Elsevier Inc. All rights reserved.
AB - This paper introduces and analyzes a model of sequential hermaphroditism in the framework of continuously structured population models with sexual reproduction. The model is general in the sense that the birth, transition (from one sex to the other) and death processes of the population are given by arbitrary functions according to a biological meaningful hypotheses. The system is reduced to a single equation introducing the intrinsic sex-ratio subspace. The steady states are analyzed and illustrated for several cases. In particular, neglecting the competition for resources we have explicitly found a unique non-trivial equilibrium which is unstable. © 2006 Elsevier Inc. All rights reserved.
KW - Diandry
KW - Gender-structured population models
KW - Intrinsic sex-ratio subspace
KW - Non-linear integral equations
KW - Sequential hermaphroditism
KW - Steady states
U2 - 10.1016/j.mbs.2006.09.014
DO - 10.1016/j.mbs.2006.09.014
M3 - Article
SN - 0025-5564
VL - 208
SP - 393
EP - 418
JO - Mathematical Biosciences
JF - Mathematical Biosciences
IS - 2
ER -