Nonlinear stability and numerical simulations for a reaction–diffusion system modelling Allee effect on predators
Author:
Affiliation:
1. Department of Mathematics and Applications “R. Caccioppoli” , University of Naples Federico II , Via Cintia , Naples , Italy
2. Istituto per le Applicazioni del Calcolo “Mauro Picone” , Via P. Castellino 111, CNR , Naples , Italy
Abstract
Publisher
Walter de Gruyter GmbH
Subject
Applied Mathematics,General Physics and Astronomy,Mechanics of Materials,Engineering (miscellaneous),Modeling and Simulation,Computational Mechanics,Statistical and Nonlinear Physics
Link
https://www.degruyter.com/document/doi/10.1515/ijnsns-2020-0015/pdf
Reference24 articles.
1. M. T. Alves and F. M. Hilker, “Hunting cooperation and Allee effects in predators,” J. Theor. Biol., vol. 419, pp. 13–22, 2017. https://doi.org/10.1016/j.jtbi.2017.02.002.
2. F. Capone, M. F. Carfora, R. De Luca, and I. Torcicollo, “On the dynamics of an intraguild predator–prey model,” Math. Comput. Simulat., vol. 149, pp. 17–31, 2018. https://doi.org/10.1016/j.matcom.2018.01.004.
3. F. Capone, R. De Luca, and S. Rionero, “On the stability of non-autonomous perturbed Lotka-Volterra models,” Appl. Math. Comput., vol. 219, pp. 6868–6881, 2013. https://doi.org/10.1016/j.amc.2013.01.003.
4. R. De Luca, “On the long-time dynamics of nonautonomous predator-prey models with mutual interference,” Ricerche Matemat., vol. 61, no. 2, pp. 275–290, 2012. https://doi.org/10.1007/s11587-012-0129-1.
5. I. Torcicollo, “On the nonlinear stability of a continuous duopoly model with constant conjectural variation,” Int. J. Non Lin. Mech., vol. 81, pp. 268–273, 2016. https://doi.org/10.1016/j.ijnonlinmec.2016.01.018.
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