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Characterisation of a nonlinear Leslie matrix model for predicting the dynamics of biological populations in polluted environments: Applications to radioecology

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  • Monte, Luigi

Abstract

This work is aimed at presenting and discussing a nonlinear Leslie model for predicting the effects of stressors on a biological population whose growth is limited by unfavourable factors such as the competition for the exploitation of the environmental resources. The model was applied to simulate the impact of ionising radiation on populations of mammals living in highly contaminated areas. After a brief review of the main properties of nonnegative matrices, it was demonstrated that the output of the suggested model is asymptotically stable. Analysis of the model results enlightened the importance of indirect systemic effects such as the enhanced capacity, under certain circumstances, of populations in more competitive conditions to resist the harmful influence of a stressor. The proposed model is simple and can be useful for understanding the behaviour of populations affected by radioactive and non-radioactive stressors.

Suggested Citation

  • Monte, Luigi, 2013. "Characterisation of a nonlinear Leslie matrix model for predicting the dynamics of biological populations in polluted environments: Applications to radioecology," Ecological Modelling, Elsevier, vol. 248(C), pages 174-183.
    • Handle: RePEc:eee:ecomod:v:248:y:2013:i:c:p:174-183
    DOI: 10.1016/j.ecolmodel.2012.10.005
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    References listed on IDEAS

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    1. Krause, Ulrich, 1986. "Perron's stability theorem for non-linear mappings," Journal of Mathematical Economics, Elsevier, vol. 15(3), pages 275-282, June.
    2. Billoir, Elise & Péry, Alexandre R.R. & Charles, Sandrine, 2007. "Integrating the lethal and sublethal effects of toxic compounds into the population dynamics of Daphnia magna: A combination of the DEBtox and matrix population models," Ecological Modelling, Elsevier, vol. 203(3), pages 204-214.
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