@article{Souna2023, 
author = {Fethi Souna and Salih Djilali and Sultan Alyobi and Anwar Zeb and Nadia Gul and Suliman Alsaeed and Kottakkaran Sooppy Nisar},
title = {Spatiotemporal dynamics of a diffusive predator-prey system incorporating social behavior},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {7},
pages = {15723-15748},
keywords = {Leslie-Gower predator-prey model, social behavior, Hopf bifurcation, turing pattern, T-H bifurcation},
url = {https://www.sciopen.com/article/10.3934/math.2023803},
doi = {10.3934/math.2023803},
abstract = {This research concerned with a new formulation of a spatial predator-prey model with Leslie-Gower and Holling type II schemes in the presence of prey social behavior. The aim interest here is to distinguish the influence of Leslie-Gower term on the spatiotemporal behavior of the model. Interesting results are obtained as Hopf bifurcation, Turing bifurcation and Turing-Hopf bifurcation. A rigorous mathematical analysis shows that the presence of Leslie-Gower can induce Turing pattern, which shows that this kind of interaction is very important in modeling different natural phenomena. The direction of Turing-Hopf bifurcation is studied with the help of the normal form. The obtained results are tested numerically.}
}