Cross-Diffusion-Driven Instability in a Predator-Prey System with Fear and Group Defense

Maria Francesca Carfora and Isabella Torcicollo
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Maria Francesca Carfora: Istituto per le Applicazioni del Calcolo CNR, 80131 Napoli, Italy
Isabella Torcicollo: Istituto per le Applicazioni del Calcolo CNR, 80131 Napoli, Italy

Mathematics, 2020, vol. 8, issue 8, 1-20

Abstract: In this paper, a reaction-diffusion prey-predator system including the fear effect of predator on prey population and group defense has been considered. The conditions for the onset of cross-diffusion-driven instability are obtained by linear stability analysis. The technique of multiple time scales is employed to deduce the amplitude equation near Turing bifurcation threshold by choosing the cross-diffusion coefficient as a bifurcation parameter. The stability analysis of these amplitude equations leads to the identification of various Turing patterns driven by the cross-diffusion, which are also investigated through numerical simulations.

Keywords: Turing instability; amplitude equation; Turing patterns; Holling type IV functional response (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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