Stabilization of chaos in an eco-eoidemiological model with allee effect in the prey population

In this work we investigate a tri-trophic food chain model in presence of week Allee effect in the prey population. At first, we observe the dynamics of our model system for variation of half-saturation constant b1 and investigate the nonlinear phenomena such as stable focus, limit cycle oscillation, period doubling and finally chaos. Then we have tried to control the chaotic dynamics of the original system by introducing the weak Allee effect in the prey species. We have also derived the criteria for local stability and instability of model system around the biological feasible equilibria. We have discussed the different conditions for the coexistence of equilibrium solutions. We have noticed that chaotic dynamics can be prevented by introducing weak Allee effect.