Continuous-discrete model of population dynamics with time lag in a reaction of intra-population self-regulative mechanisms

Continuous-discrete model of population dynamics is considered in current publication. It is assumed that death process of individuals has a continuous nature, and appearences of individuals of new generations are observed at fixed time moments. It is also assumed that population has non-overlapping...

Full description

Saved in:
Bibliographic Details
Published in:Network biology 2012-12, Vol.2 (4), p.139-147
Main Author: Nedorezov, L.V
Format: Article
Language:English
Subjects:
Biomathematics
broken trajectories
mathematical model
Mathematical models
Population biology
population dynamics
reaction
self-regulative mechanisms
time lag
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Continuous-discrete model of population dynamics is considered in current publication. It is assumed that death process of individuals has a continuous nature, and appearences of individuals of new generations are observed at fixed time moments. It is also assumed that population has non-overlapping generations, and for every generation self-regulative mechanisms have distributed time lag in reaction on population size changing. For particular case when death rate of individuals between fixed time moments corresponds to Verhulst's law, it was obtained that various cyclic regimes can be observed in phase space. For various values of model parameters the structure of domain in space of parameters, where chaotic dynamic regimes can be realized, is described.
ISSN:2220-8879
2220-8879
DOI:10.0000/issn-2220-8879-networkbiology-2012-v2-0016