Fractional diffusions arise in the study of models from population dynamics. In this paper, we derive a class of integro-differential reaction-diffusion equations from simple principles. We then prove an approximation result for the first eigenvalue of linear integro-differential operators of the fractional diffusion type, and we study from that the dynamics of a population in a fragmented environment with fractional diffusion. © 2000 Mathematics Subject Classification.
The periodic patch model for population dynamics with fractional diffusion / Berestycki, H.; Roquejoffre, J. -M.; Rossi, L.. - In: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES S. - ISSN 1937-1632. - 4:1(2011), pp. 1-13. [10.3934/dcdss.2011.4.1]
The periodic patch model for population dynamics with fractional diffusion
Rossi L.
2011
Abstract
Fractional diffusions arise in the study of models from population dynamics. In this paper, we derive a class of integro-differential reaction-diffusion equations from simple principles. We then prove an approximation result for the first eigenvalue of linear integro-differential operators of the fractional diffusion type, and we study from that the dynamics of a population in a fragmented environment with fractional diffusion. © 2000 Mathematics Subject Classification.| File | Dimensione | Formato | |
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