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Martino, L.A.; Osella, A.; Dorso, C.; Lanata, J.L. "Fisher equation for anisotropic diffusion: Simulating South American human dispersals" (2007) Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 76(3)
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Abstract:

The Fisher equation is commonly used to model population dynamics. This equation allows describing reaction-diffusion processes, considering both population growth and diffusion mechanism. Some results have been reported about modeling human dispersion, always assuming isotropic diffusion. Nevertheless, it is well-known that dispersion depends not only on the characteristics of the habitats where individuals are but also on the properties of the places where they intend to move, then isotropic approaches cannot adequately reproduce the evolution of the wave of advance of populations. Solutions to a Fisher equation are difficult to obtain for complex geometries, moreover, when anisotropy has to be considered and so few studies have been conducted in this direction. With this scope in mind, we present in this paper a solution for a Fisher equation, introducing anisotropy. We apply a finite difference method using the Crank-Nicholson approximation and analyze the results as a function of the characteristic parameters. Finally, this methodology is applied to model South American human dispersal. © 2007 The American Physical Society.

Registro:

Documento: Artículo
Título:Fisher equation for anisotropic diffusion: Simulating South American human dispersals
Autor:Martino, L.A.; Osella, A.; Dorso, C.; Lanata, J.L.
Filiación:Physics Department, FCEyN, Universidad de Buenos Aires, Argentina
Anthropology Department, FFyL, Universidad de Buenos Aires, Argentina
Palabras clave:Anisotropy; Approximation theory; Diffusion; Parameter estimation; Population dynamics; Anisotropic diffusion; Fisher equation; Fisher information matrix
Año:2007
Volumen:76
Número:3
DOI: http://dx.doi.org/10.1103/PhysRevE.76.031923
Título revista:Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Título revista abreviado:Phys. Rev. E Stat. Nonlinear Soft Matter Phys.
ISSN:15393755
CODEN:PLEEE
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15393755_v76_n3_p_Martino

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Citas:

---------- APA ----------
Martino, L.A., Osella, A., Dorso, C. & Lanata, J.L. (2007) . Fisher equation for anisotropic diffusion: Simulating South American human dispersals. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 76(3).
http://dx.doi.org/10.1103/PhysRevE.76.031923
---------- CHICAGO ----------
Martino, L.A., Osella, A., Dorso, C., Lanata, J.L. "Fisher equation for anisotropic diffusion: Simulating South American human dispersals" . Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 76, no. 3 (2007).
http://dx.doi.org/10.1103/PhysRevE.76.031923
---------- MLA ----------
Martino, L.A., Osella, A., Dorso, C., Lanata, J.L. "Fisher equation for anisotropic diffusion: Simulating South American human dispersals" . Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, vol. 76, no. 3, 2007.
http://dx.doi.org/10.1103/PhysRevE.76.031923
---------- VANCOUVER ----------
Martino, L.A., Osella, A., Dorso, C., Lanata, J.L. Fisher equation for anisotropic diffusion: Simulating South American human dispersals. Phys. Rev. E Stat. Nonlinear Soft Matter Phys. 2007;76(3).
http://dx.doi.org/10.1103/PhysRevE.76.031923