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· CAUCHY · 0 citations
Open access
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Dynamical analysis, bifurcations and slow-fast behavior of a predator-prey model with hunting cooperation
The main focus of this paper is to investigate the dynamical behaviors of a predator-prey model incorporating cooperative hunting among predators, which is widely observed in real ecological communities and provides valuable insights for revealing population persistence and community stability in natural ecosystems.
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Wild prey are shaped by predators long before they are caught. Fear alone suppresses reproduction, physical refuges reduce exposure, and many species strike back directly at their attackers, imposing real costs on the hunter. To investigate the combined effects of these behavioral mechanisms, we develop a Caputo fracti...
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Spatial Dynamics in a Diffusive Leslie–Gower Predator–Prey Model with Allee Effect, Harvesting, and Cooperative Hunting
In this paper, we investigate the spatiotemporal dynamics of a diffusive Leslie–Gower predator–prey model incorporating the Allee effect, prey harvesting, and cooperative hunting among predators. By introducing spatial diffusion into a previously established ordinary differential system, we formulate and analyze the co...
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Hopf Bifurcation and Stability Switching in a Dual‐Delay Predator–Prey System With Schooling Modified Predation and Sigmoidal Harvesting
Predator–prey models incorporating nonlinear predation, interspecific competition, harvesting, and reproductive delays provide important tools for understanding the mechanisms governing ecological stability and oscillatory dynamics. However, the combined effects of schooling‐modified Holling type‐IV predation, predat...
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