| Abstract: |
| We consider the dynamics of a prey-predator model with cooperative hunting among predators. We start with the analysis on the model without delay in which the consumption rate is described as Holling type I and II. We explore the effect of hunting time in the consumption rate on the coexistence of predator and their prey. The occurrences of a series of bifurcations that depend on the cooperation rate and the hunting time is also investigated. We numerically observe the occurrences of a series of bifurcations that depend on the cooperation rate and the hunting time. We also introduce a maturation delay for predator growth and analyze its impact on the dynamics. As the delay becomes larger, predator species become more likely to go extinct, as the long maturation delay hinders the growth of the predator population. Our numerical exploration reveals that the delay causes shifts in both the bifurcation curves and bifurcation thresholds of the non-delayed system. This work is based on a joint work with Jyotirmoy Roy and Malay Banerjee (IIT Kanpur). |
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