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

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  • Cai, Jian-Chun
  • Mei, Dong-Cheng

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.

Suggested Citation

  • Cai, Jian-Chun & Mei, Dong-Cheng, 2010. "Influence of strong noise on the decline and propagation of population in the delayed Malthus–Verhulst model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(21), pages 4715-4724.
    • Handle: RePEc:eee:phsmap:v:389:y:2010:i:21:p:4715-4724
    DOI: 10.1016/j.physa.2010.06.019
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    References listed on IDEAS

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    1. Malthus, Thomas Robert, 1798. "An Essay on the Principle of Population," History of Economic Thought Books, McMaster University Archive for the History of Economic Thought, number malthus1798.
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    Cited by:

    1. Lumi, Neeme & Laas, Katrin & Mankin, Romi, 2015. "Rising relative fluctuation as a warning indicator of discontinuous transitions in symbiotic metapopulations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 437(C), pages 109-118.

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