The Impacts of Scavenging on the Prey-Predator-Scavenger Fishery Model in the Existence of Harvesting and Toxin

The current paper investigates a prey-predator-scavenger fishery model in which both prey and predator species release harmful toxins during predation interaction. harvesting of scavengers is introduced due to their economic value serves as one the important protein sources for humans. Both scavenger fish consume food. Scavengers devour carrion or carcasses predators die natural causes are infected by preys. non-negativity solutions from has been derived ensure biologically meaningful. model's equilibria investigated along with its local stability characteristics. We investigate threshold conditions triggering bifurcations occur steady-states concerning scavenging activities scavengers. By formulating suitable Lyapunov function, global analysis non-trivial coexistence steady-state implemented. dynamical behaviours model, well persistence extirpation properties, have analysed using bifurcation analysis. From results, it found that parameter presence toxin can drive population towards extinction state unstable unfavourable nature.