A reaction-diffusion system governing the prey-predator interaction with Allee effect on the predators, already introduced by the authors in a previous work is reconsidered with the aim of showing destabilization mechanisms of the biologically meaning equilibrium and detecting some aspects for the eventual oscillatory pattern formation. Extensive numerical simulations, depicting such complex dynamics, are shown. In order to complete the stability analysis of the coexistence equilibrium, a nonlinear stability result is shown.
Nonlinear stability and numerical simulations for a reaction-diffusion system modelling Allee effect on predators / Capone, F.; Carfora, M. F.; De Luca, R.; Torcicollo, I.. - In: INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION. - ISSN 1565-1339. - 23:5(2022), pp. 751-760. [10.1515/ijnsns-2020-0015]
Nonlinear stability and numerical simulations for a reaction-diffusion system modelling Allee effect on predators
Capone F.
;De Luca R.;Torcicollo I.
2022
Abstract
A reaction-diffusion system governing the prey-predator interaction with Allee effect on the predators, already introduced by the authors in a previous work is reconsidered with the aim of showing destabilization mechanisms of the biologically meaning equilibrium and detecting some aspects for the eventual oscillatory pattern formation. Extensive numerical simulations, depicting such complex dynamics, are shown. In order to complete the stability analysis of the coexistence equilibrium, a nonlinear stability result is shown.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
