Spatiotemporal dynamics of a diffusive predator-prey system incorporating social behavior

Autor:	Fethi Souna, Salih Djilali, Sultan Alyobi, Anwar Zeb, Nadia Gul, Suliman Alsaeed, Kottakkaran Sooppy Nisar
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	leslie-gower predator-prey model social behavior hopf bifurcation turing pattern t-h bifurcation Mathematics QA1-939
Zdroj:	AIMS Mathematics, Vol 8, Iss 7, Pp 15723-15748 (2023)
Druh dokumentu:	article
ISSN:	2473-6988 29699983
DOI:	10.3934/math.2023803?viewType=HTML
Popis:	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.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/097ddbacbc004fb29699983d0c73198c Zobrazit plný text záznamu View record in DOAJ