Influence of strong noise on the decline and propagation of population in the delayed Malthus–Verhulst model

The effects of strong noise on the decline and propagation processes of a population in the Malthus–Verhulst model with time delay are investigated by a stochastic simulation. Time delays in two different processes are concurrent in ecosystems. The simulation results indicate that: The stability of...

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Bibliographic Details
Published in:Physica A 2010-11, Vol.389 (21), p.4715-4724
Main Authors: Cai, Jian-Chun, Mei, Dong-Cheng
Format: Article
Language:English
Subjects:
Computer simulation
Delay
Fluctuation
Malthus–Verhulst model
Noise
Noise intensity
Population (statistical)
Statistical mechanics
Time delay
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Summary:The effects of strong noise on the decline and propagation processes of a population in the Malthus–Verhulst model with time delay are investigated by a stochastic simulation. Time delays in two different processes are concurrent in ecosystems. The simulation results indicate that: The stability of the population is enhanced by the decreasing multiplicative noise intensity and the increasing delay time. The replacement of old individuals with young ones is accelerated by an increasing multiplicative noise intensity, an increasing additive noise intensity and a decreasing delay time. An increasing multiplicative noise intensity will drive the population of species to fluctuate more largely.
ISSN:0378-4371
1873-2119
DOI:10.1016/j.physa.2010.06.019