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 |
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Jazyk: | angličtina |
Rok vydání: | 2023 |
Předmět: | |
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 |
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