A stage-structured prey–predator model with discrete time delay

A stage-structured predator prey model (stage-structure on prey) with gestation delay has been presented in this paper. Linear stability analysis reveals that certain thresholds on the rate at which juveniles becomes adults, in terms of the predation rate and other system parameters. A stability switch in the system due to variation of delay parameter has been observed, so is the phenomena of Hopf-bifurcation and stable limit cycle. The estimation of the length of delay to preserve stability has also been calculated. Numerical simulation with a hypothetical set of data has been done to support the analytical findings.