Open AccessSURVIVAL OF THE FITTEST IN A QUASILINEAR SIZE‐STRUCTURED POPULATION MODEL
Author(s) -
ACKLEH AZMY S.,
DENG KENG
Publication year - 2004
Publication title -
natural resource modeling
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.28
H-Index - 32
eISSN - 1939-7445
pISSN - 0890-8575
DOI - 10.1111/j.1939-7445.2004.tb00134.x
Subject(s) - ecotype , survival of the fittest , reproduction , biology , competition (biology) , population , ecology , evolutionary biology , demography , sociology
. We present a size‐structured model which describes the dynamics of n ecotypes competing for common resources. We prove that if reproduction is closed, i.e., offspring of one ecotype belongs to the same ecotype, then competitive exclusion between these ecotypes will occur. We give conditions on the model parameters which determine the fittest ecotype that wins the competition. Furthermore, we show that if reproduction is open then coexistence between the n ecotypes is possible.