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Fighting Enemies and Noise: Competition of Residents and Invaders in a Stochastically Fluctuating Environment

Siekmann, I and Malchow, H (2016) Fighting Enemies and Noise: Competition of Residents and Invaders in a Stochastically Fluctuating Environment. Mathematical Modelling of Natural Phenomena, 11 (5). pp. 137-157. ISSN 0973-5348

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Abstract

The possible control of competitive invasion by infection of the invader and multiplicative noise is studied. The basic model is the Lotka-Volterra competition system with emergent carrying capacities. Several stationary solutions of the non-infected and infected system are identified as well as parameter ranges of bistability. The latter are used for the numerical study of invasion phenomena. The diffusivities, the infection but in particular the white and coloured multiplicative noise are the control parameters. It is shown that not only competition, possible infection and mobilities are important drivers of the invasive dynamics but also the noise and especially its color and the functional response of populations to the emergence of noise.

Item Type: Article
Uncontrolled Keywords: 0102 Applied Mathematics
Subjects: Q Science > QA Mathematics
Divisions: Applied Mathematics
Publisher: EDP Sciences
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Date Deposited: 21 Sep 2017 09:24
Last Modified: 21 Sep 2017 09:24
DOI or Identification number: 10.1051/mmnp/201611509
URI: http://researchonline.ljmu.ac.uk/id/eprint/7135

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