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Turing pattern formation in a specialist predator–prey model with a herd‐Holling‐type II functional response.

Authors :
Alì, Giuseppe
Torcicollo, Isabella
Source :
Mathematical Methods in the Applied Sciences. 1/15/2025, Vol. 48 Issue 1, p731-747. 17p.
Publication Year :
2025

Abstract

A reaction–diffusion system governing the predator–prey interaction with specialist predator and herd behavior for prey is investigated. Linear stability of the interior equilibrium is studied, and conditions guaranteeing the occurrence of Turing instability, induced by cross‐diffusion, are found, with a full characterization of the Turing instability region in the parameter space. Numerical simulations on the obtained results are provided. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
01704214
Volume :
48
Issue :
1
Database :
Academic Search Index
Journal :
Mathematical Methods in the Applied Sciences
Publication Type :
Academic Journal
Accession number :
181570223
Full Text :
https://doi.org/10.1002/mma.10355