S Harris 2003 J. Phys. A: Math. Gen. 36 8291 doi:10.1088/0305-4470/36/30/306
S Harris
Show affiliationsWe consider the effect of memory-dependent transport on the survivability of a population dispersing in a closed domain surrounded by a hostile environment. The model we use combines memory-dependent diffusion with Malthusian growth. The former introduces an additional parameter, the correlation time for memory effects, that must be taken into account in determining the critical length below which survival does not occur. Results are obtained for all possible parametric conditions, and the relevance to non-linear growth conditions is discussed.
05.45.-a Nonlinear dynamics and nonlinear dynamical systems
87.23.Cc Population dynamics and ecological pattern formation
Issue 30 (1 August 2003)
Received 16 April 2003
Published 16 July 2003
S Harris 2003 J. Phys. A: Math. Gen. 36 8291
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