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A PDE model of clonal plant competition with nonlinear diffusion

Author

Listed:
  • Hamidi, A. El
  • Garbey, M.
  • Ali, N.

Abstract

We present a spatial competition model for clonal plant growth that combines two different mechanisms of competition. The first one is described by the standard underlying Kolmogorov Model for two interacting populations. A second competition mechanism, more specific to clonal plant growth, expresses the motility of each species and their capacity to resist to competitor's space intrusion. This model leads to a degenerated nonlinear reaction–diffusion system in which the diffusion coefficient of each species vanishes wherever the other species is beyond a certain biomass value.

Suggested Citation

  • Hamidi, A. El & Garbey, M. & Ali, N., 2012. "A PDE model of clonal plant competition with nonlinear diffusion," Ecological Modelling, Elsevier, vol. 234(C), pages 83-92.
    • Handle: RePEc:eee:ecomod:v:234:y:2012:i:c:p:83-92
    DOI: 10.1016/j.ecolmodel.2012.03.012
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    References listed on IDEAS

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    1. Oborny, B. & Mony, C. & Herben, T., 2012. "From virtual plants to real communities: A review of modelling clonal growth," Ecological Modelling, Elsevier, vol. 234(C), pages 3-19.
    2. Mony, C. & Garbey, M. & Smaoui, M. & Benot, M.-L., 2011. "Large scale parameter study of an individual-based model of clonal plant with volunteer computing," Ecological Modelling, Elsevier, vol. 222(4), pages 935-946.
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