Tipping events in a fear-affected symbiotic ecological system with adaptive hunting strategy.

Experimental observations and field data demonstrated that predators adapt their hunting strategies in response to prey abundance. While previous studies explored the impact of predation risk on predator-prey interactions, the impact of symbiotic relationships between fear-affected prey and non-prey species on system dynamics remains unexplored. This study uses a mathematical approach to investigate how different symbiotic relationships govern system dynamics when predators adapt to prey availability. Our study illustrates that the mutualistic relationship between prey and partners extends predator survivability. However, the fear-affected symbiotic system may undergo regime shifts, which can be catastrophic or non-catastrophic, depending on symbiotic interaction patterns. The study demonstrates a hump-shaped relationship between the predator's optimal search rate and biomass and identifies an intermediate range of search rates where the system exhibits a "bubbling"phenomenon. Overall, our findings provide new insights into symbiotic relationships in community ecology, highlighting the complex interplay among predators, prey, and non-prey species.