Instability analysis of Holling IV-Leslie Predator-Prey System Induced by Binary Noise

The study investigates the stability regulation mechanism of the Holling IV-Leslie predator-prey system under dichotomous noise. By characterizing the critical bifurcation conditions that lead to instability induced by dichotomous noise, the research reveals the influence of noise intensity and temporal memory on the system's stability. It is demonstrated that adjusting temporal memory can more sensitively expand the region of Turing instability. Numerical simulations show that dichotomous noise destabilizes the system by reshaping bifurcation curves and inducing limit cycle oscillations.