Abstract

Spatially explicit models consisting of reaction-diffusion partial differential equations are considered in order to model prey-predator interactions, since it is known that the role of spatial processes reveals of great interest in the study of the effects of habitat fragmentation on biodiversity. As almost all of the realistic models in biology, these models are nonlinear and their solution is not knwon is closed form. Our aim is approximating the solution itself by means of exponential Runge-Kutta integrators. Moreover, we apply the shift-and-invert Krylov approach in order to evaluate the entire functions needed for implementing the exponential method. This numerical procedure reveals to be very efficient in avoiding numerical instability during the simulation, since it allows us to adopt high order in the accuracy.

Autore Pugliese

• Marangi Carmela , Diele Fasma

Tutti gli autori

• Diele F.; Marangi C.; Ragni S.

Titolo volume/Rivista

AIP conference proceedings

Anno di pubblicazione

2012

ISSN

0094-243X

ISBN

978-0-7354-1088-6

Numero di citazioni Wos

Nessuna citazione

Ultimo Aggiornamento Citazioni

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Numero di citazioni Scopus

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Settori ERC

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Codici ASJC

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