Prey-predator switching models where predator has switching strategy
Author
Al-Rahbi, Yaqoob Mubarak Muhammed.
English abstract
Prey- predator models with predator switching strategy are studied via this work. The predator feeds preferentially on the most numerous stage species. The stability analysis has been carried out for non-zero equilibrium. It is found that as the intensity of the predator switching increases the region of stability will increase i.e. it is shown that switching is a stabilizing mechanism. We investigated Hopf bifurcation for non-switching and switching models and found that both systems will observe Hopf bifurcation if we use conversion rate of second prey to predator and a bifurcation parameter. If we take death rate of predator as a bifurcation parameter then there will be no Hopf bifurcation in both systems. Hence, either system will be locally stable or unstable around the non-zero equilibrium. We further examined a prey, mesopredator and superpredator model where prey and mesopredator are more prone to superpredator at higher densities. The stability analysis is carried out for seven equilibrium values. We established conditions under which these three species co-exist and discuss the way to save the prey (bird) population. The theoretical results are compared with the numerical results for different set of parameters.
