We present a model describing spatial competition between two biological populations. Individuals belonging to the two populations diffuse in space, reproduce, and die as effect of competitions; all these processes are implemented stochastically. We focus on how the macroscopic equations for the densities of the two species can be derived within the formalism of the chemical master equations. We also compare the case in which the total density of individuals is kept fixed by constraint with a case in which it can fluctuate.

Pigolotti, S., Benzi, R., Jensen, M., Perlekar, P., Toschi, F. (2014). Stochastic competition between two populations in space, 553, 105-117 [10.1007/978-3-7091-1785-9_4].

Stochastic competition between two populations in space

BENZI, ROBERTO;TOSCHI, FRANCESCO
2014-01-01

Abstract

We present a model describing spatial competition between two biological populations. Individuals belonging to the two populations diffuse in space, reproduce, and die as effect of competitions; all these processes are implemented stochastically. We focus on how the macroscopic equations for the densities of the two species can be derived within the formalism of the chemical master equations. We also compare the case in which the total density of individuals is kept fixed by constraint with a case in which it can fluctuate.
2014
Pubblicato
Rilevanza internazionale
Articolo
Esperti anonimi
Settore FIS/02 - FISICA TEORICA, MODELLI E METODI MATEMATICI
English
Con Impact Factor ISI
Population Dynamics;
Pigolotti, S., Benzi, R., Jensen, M., Perlekar, P., Toschi, F. (2014). Stochastic competition between two populations in space, 553, 105-117 [10.1007/978-3-7091-1785-9_4].
Pigolotti, S; Benzi, R; Jensen, M; Perlekar, P; Toschi, F
Articolo su rivista
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/92588
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 2
  • ???jsp.display-item.citation.isi??? 0
social impact