Open AccessPERSISTENCE IN DISCRETE MODELS OF A POPULATION WHICH MAY BE SUBJECTED TO HARVESTING
Author(s) -
Freedman H.I.,
So J.W.H.
Publication year - 1987
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.1939-7445.1987.tb00029.x
Subject(s) - persistence (discontinuity) , population model , population , constant (computer programming) , mathematics , class (philosophy) , mathematical economics , econometrics , statistics , computer science , demography , artificial intelligence , engineering , geotechnical engineering , sociology , programming language
We consider a class of one‐dimensional maps as discrete models of a single population. A general criterion for persistence of a population is obtained, and this criterion is shown to be valid for many models proposed in the literature. These results are extended to models which are periodic and to models which include constant rate harvesting.