IMSP schemes for spatially explicit models of cyclic populations and metapopulation dynamics (Articolo in rivista)

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Label
  • IMSP schemes for spatially explicit models of cyclic populations and metapopulation dynamics (Articolo in rivista) (literal)
Anno
  • 2014-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1016/j.matcom.2014.01.006 (literal)
Alternative label
  • Fasma Diele (1), Carmela Marangi (2), Stefania Ragni (3) (2014)
    IMSP schemes for spatially explicit models of cyclic populations and metapopulation dynamics
    in Mathematics and computers in simulation (Print); Elsevier, Amsterdam (Paesi Bassi)
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Fasma Diele (1), Carmela Marangi (2), Stefania Ragni (3) (literal)
Pagina inizio
  • 41 (literal)
Pagina fine
  • 53 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#url
  • http://www.sciencedirect.com/science/article/pii/S0378475414000366 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 100 (literal)
Rivista
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#pagineTotali
  • 13 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • (3) Dipartimento di Scienze Economiche e Aziendali, Universit√† di Sassari (literal)
Titolo
  • IMSP schemes for spatially explicit models of cyclic populations and metapopulation dynamics (literal)
Abstract
  • We examine spatially explicit models described by reaction-diffusion partial differential equations for the study of predator-prey population dynamics. The numerical methods we propose are based on the coupling of a finite difference/element spatial discretization and a suitable partitioned Runge-Kutta scheme for the approximation in time. The RK scheme here implemented uses an implicit scheme for the stiff diffusive term and a partitioned RK symplectic scheme for the reaction term (IMSP scheme). We revisit some results provided in literature for the classical Lotka-Volterra system and the Rosenzweig-MacArthur model. We then extend the approach to metapopulation dynamics in order to numerically investigate the effect of migration through a corridor connecting two habitat patches. Moreover, we analyze the synchronization properties of subpopulation dynamics, when the migration occurs through corridors of variable size. (literal)
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