Spatiotemporal dynamics of a diffusive predator-prey system incorporating social behavior-Reference-Cited by-同舟云学术

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

Published:2023 Issue:7 Volume:8 Page:15723-15748
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Souna Fethi¹,Djilali Salih²³,Alyobi Sultan⁴,Zeb Anwar⁵,Gul Nadia⁶,Alsaeed Suliman⁷⁸,Nisar Kottakkaran Sooppy⁸⁹

Affiliation:

1. Laboratory of biomathematics, Department of Mathematics, Djillali Liabés University, BP. 89 Sidi Bel Abbes, 22000, Algeria

2. Laboratoire d'Analyse Non Linéaire et Mathématiques Appliquées, Université de Tlemcen, Tlemcen, Algeria

3. Faculty of Exact and Computer Sciences, Mathematics Department, Hassiba Benbouali university, Chlef, Algeria

4. King Abdulaziz University, College of Science & Arts, Department of Mathematics, Rabigh, Saudi Arabia

5. Department of Mathematics, COMSATS University Islamabad, Abbottabad, 22060, Pakistan

6. Department of Mathematics, Shaheed Benazir Bhutto Women University, Peshawar, 25000, Khyber Pakhtunkhwa, Pakistan

7. Applied Sciences Collage, Department of Mathematical Sciences, Umm Al-Qura Univer-sity P.O. Box 715, 21955 Makkah, Saudi Arabia

8. Mathematics Department, College of Sciences and Humanities in Alkharj, Prince Sattam bin Abdulaziz University, Alkharj, Saudi Arabia

9. School of Technology, Woxsen University- Hyderabad-502345, Telangana State, India

Abstract

<abstract><p>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.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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