http://www.cnr.it/ontology/cnr/individuo/prodotto/ID279940
IMSP schemes for spatially explicit models of cyclic populations and metapopulation dynamics (Articolo in rivista)
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- 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)
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- Fasma Diele (1), Carmela Marangi (2), Stefania Ragni (3) (literal)
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- http://www.sciencedirect.com/science/article/pii/S0378475414000366 (literal)
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- (3) Dipartimento di Scienze Economiche e Aziendali, Università 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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