The role of space in stage-structured cannibalism with harvesting of an adult predator

摘要

The dynamics of a predator-prey reaction-diffusion system with Holling type Ⅲ functional response, where the predator has two stages, a juvenile stage and an adult stage, is proposed and analyzed to study the effect of predation with non-constant harvesting of an adult predator. Our analysis leads to different thresholds in terms of the model parameters acting as conditions under which the organisms associated with the system cannot thrive even in the absence of predation. Local stability of the system is obtained in the absence of one or more organisms and in the presence of all the organisms. Moreover, it is shown that the system undergoes Hopf bifurcation when the intrinsic growth rate of herbivorous prey crosses certain critical value. Computer simulations have been carried out to illustrate various analytical results.