SPATIAL PATTERNS DYNAMICS OF A DIFFUSIVE PREDATOR-PREY SYSTEM WITH COOPERATIVE BEHAVIOR IN PREDATORS

被引:4
作者
Singh, Teekam [1 ]
Dubey, Ramu [2 ]
机构
[1] Graph Era Hill Univ, Dept Math, Dehra Dun 248002, Uttarakhand, India
[2] JC Bose Univ Sci & Technol, Dept Math, YMCA, Faridabad 121006, Haryana, India
关键词
Predator-Prey Model; Cooperative Behavior; Diffusive Instability; Spatial Patterns; ALLEE; MODEL; BIFURCATIONS; STABILITY;
D O I
10.1142/S0218348X21500857
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Cooperative behavior is an extensive mechanism in nature, and seen in several organisms, from bacterial cells to primates. In this paper, we have investigated a spatial predator-prey model with hunting cooperation in predators. Using linear stability analysis, we obtain the condition for diffusive instability and identify the corresponding domain in the space of control parameters. Using extensive numerical simulations, we obtain complex patterns, namely, spotted pattern, stripe pattern and mixed pattern in the Turing domain, by varying the hunting cooperation rate in predators and ratio of diffusion coefficient. The results focus on the effect of hunting cooperation rate in pattern dynamics of a diffusive predator-prey model and help us in better understanding of the dynamics of the predator-prey interaction in real environment.
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页数:13
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