Qualitative analysis for a diffusive predator-prey model with hunting cooperation and holling type III functional response

被引:5
作者
Benamara, Ibtissam [1 ]
El Abdllaoui, Abderrahim [1 ]
Yafia, Radouane [2 ]
Dutta, Hemen [3 ]
机构
[1] Mohammed V Univ, Fac Sci, Dept Math, Lab Math Comp Sci & Applicat Secur Informat, Rabat, Morocco
[2] Ibn Tofail Univ, Fac Sci, Dept Math, Campus Univ, BP 133, Kenitra, Morocco
[3] Gauhati Univ, Dept Math, Gawahati 781014, Assam, India
关键词
Predator-prey system; Holling type III functional response; cooperative hunting; self-diffusion; amplitude equation; Turing instability; SYSTEM;
D O I
10.1051/mmnp/2023010
中图分类号
Q [生物科学];
学科分类号
07 ; 0710 ; 09 ;
摘要
The Spatio-temporal pattern induced by self-diffusion of a predator-prey model with Boiling type III functional response that incorporates the hunting cooperation between predators has been investigated in this paper. For the local model without structure, the stability of non-negative equilibria with or without collaborative hunting in predators is studied. For the Spatio-temporal model, we analyze the effect of hunting cooperation term on diffusion-driven Turing instability of the homogeneous positive equilibria. To get an idea about patterns formation near the Turing bifurcation, we derive and give a detailed study of the amplitude equation using the multiple-scale analysis. Our result shows that hunting cooperation plays a crucial role in determining the stability and the Turing bifurcation of the model, which is in sharp contrast to the case without cooperation in hunting. Furthermore, some numerical simulations are illustrated to visualize the complex dynamic behavior of the model.
引用
收藏
页数:24
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