On the Balance between Emigration and Immigration as Random Walks on Non-Negative Integers

Life is on a razor’s edge resulting from the random competitive forces of birth and death. We illustrate this aphorism in the context of three Markov chain population models where systematic random immigration events promoting growth are simultaneously balanced with random emigration ones provoking...

Full description

Saved in:
Bibliographic Details
Published inMathematics (Basel) Vol. 12; no. 20; p. 3198
Main Author Huillet, Thierry E.
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.10.2024
MDPI
Subjects
Biodiversity
Emigration
fluctuation theory
Immigrants
Immigration
Life Sciences
Markov analysis
Markov chains
Mathematical research
Mathematics
Phase transitions
Probability
random population growth
Random walk
Random walks (Mathematics)
recurrence/transience transition
time to extinction
truncated geometric decay
France
Online AccessGet full text
ISSN2227-7390
2227-7390
DOI10.3390/math12203198

Cover

More Information
Summary:Life is on a razor’s edge resulting from the random competitive forces of birth and death. We illustrate this aphorism in the context of three Markov chain population models where systematic random immigration events promoting growth are simultaneously balanced with random emigration ones provoking thinning. The origin of mass removals is either determined by external demands or by aging, leading to different conditions of stability.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:2227-7390
2227-7390
DOI:10.3390/math12203198