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

Jian-Chun Cai and Dong-Cheng Mei

Physica A: Statistical Mechanics and its Applications, 2010, vol. 389, issue 21, 4715-4724

Abstract: 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.

Keywords: Malthus–Verhulst model; Noise; Time delay (search for similar items in EconPapers)
Date: 2010
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:389:y:2010:i:21:p:4715-4724

DOI: 10.1016/j.physa.2010.06.019

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