A general structured model for a sequential hermaphrodite population

Àngel Calsina; Jordi Ripoll

doi:10.1016/j.mbs.2006.09.014

A general structured model for a sequential hermaphrodite population

Àngel Calsina, Jordi Ripoll

Department of Mathematics

Research output: Contribution to journal › Article › Research › peer-review

5 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	393-418
Journal	Mathematical Biosciences
Volume	208
Issue number	2
DOIs	https://doi.org/10.1016/j.mbs.2006.09.014
Publication status	Published - 1 Aug 2007

Keywords

Diandry
Gender-structured population models
Intrinsic sex-ratio subspace
Non-linear integral equations
Sequential hermaphroditism
Steady states

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10.1016/j.mbs.2006.09.014

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title = "A general structured model for a sequential hermaphrodite population",

abstract = "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. {\textcopyright} 2006 Elsevier Inc. All rights reserved.",

keywords = "Diandry, Gender-structured population models, Intrinsic sex-ratio subspace, Non-linear integral equations, Sequential hermaphroditism, Steady states",

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AU - Ripoll, Jordi

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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

VL - 208

SP - 393

EP - 418

IS - 2

ER -

A general structured model for a sequential hermaphrodite population

Abstract

Keywords

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