Multistability and Chaos in the Eco-epidemiological System with Allee Effect

In this research work, the Rosenzweig–MacArthur model comprises with the predator population afflicted by illness has been studied. We may investigate the effects of Allee effects further by looking at populations of predators and prey with a weak Allee effect and prey with a strong Allee effect. We carry out analytical analyses of equilibrium, stability, and Hopf bifurcation. We have also investigated, via numerical simulations, chaotic dynamics for a progressive rise in the force of infection. We see that a strong Allee effect can keep the system from going into chaos, but that once the strong Allee parameter reaches a certain value, the prey population goes extinct and as a result, also the predator population extincts too. However, the weak Allee effect also has a important impact on population dynamics and has the potential to increase the number of predators. To investigate the complex dynamics of the system, we have created a number of bifurcation diagrams with one and two parameters. We also note that at appropriate parameter values, the system may display tristability and bistability.