The aim of this paper is to investigate a reaction-diffusion Leslie–Gower predator–prey model, incorporating the intraguild predation and both self and cross-diffusion. The longtime behaviour of the solutions is analysed, proving the existence of an absorbing set. The existence of patterns is investigated by looking for conditions guaranteeing that an equilibrium, stable in the absence of diffusion, becomes unstable when diffusion is allowed.
Turing instability for a Leslie–Gower model / Capone, F.; De Luca, R.; Fiorentino, L.; Luongo, V.; Massa, G.. - In: RICERCHE DI MATEMATICA. - ISSN 0035-5038. - (2023). [10.1007/s11587-023-00819-4]
Turing instability for a Leslie–Gower model
Capone F.;De Luca R.;Fiorentino L.;Luongo V.;Massa G.
2023
Abstract
The aim of this paper is to investigate a reaction-diffusion Leslie–Gower predator–prey model, incorporating the intraguild predation and both self and cross-diffusion. The longtime behaviour of the solutions is analysed, proving the existence of an absorbing set. The existence of patterns is investigated by looking for conditions guaranteeing that an equilibrium, stable in the absence of diffusion, becomes unstable when diffusion is allowed.File in questo prodotto:
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