A reaction–diffusion system governing the prey–predator interaction with hunting cooperation is investigated. Definitive boundedness of solutions is proved via the existence of positive invariants and attractive sets. Linear stability of the coexistence equilibria is performed and conditions guaranteeing the occurrence of Turing instability are found. Numerical simulations on the obtained results are provided.
Turing patterns in a reaction–diffusion system modeling hunting cooperation / Capone, F.; Carfora, M. F.; DE LUCA, Roberta; Torcicollo, I.. - In: MATHEMATICS AND COMPUTERS IN SIMULATION. - ISSN 0378-4754. - 165:(2019), pp. 172-180. [10.1016/j.matcom.2019.03.010]
Turing patterns in a reaction–diffusion system modeling hunting cooperation
Capone F.
;De Luca Roberta;Torcicollo I.
2019
Abstract
A reaction–diffusion system governing the prey–predator interaction with hunting cooperation is investigated. Definitive boundedness of solutions is proved via the existence of positive invariants and attractive sets. Linear stability of the coexistence equilibria is performed and conditions guaranteeing the occurrence of Turing instability are found. Numerical simulations on the obtained results are provided.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
