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This research article investigates the interaction between prey and a generalist predator, considering the effect of hunting cooperation. The predator–prey interaction is modeled using a predator dependent functional response, specifically the Crowley–Martin type. System's dynamics are explored using both analytical and numerical techniques. Feasible equilibria are analyzed, and their local stability is determined. Various bifurcations in the system are explored, and one-and two-parameter bifurcation structures are constructed to unveil complex dynamical behaviors. Our findings reveal that both prey and predator face extinction when the predator growth rate from alternative food sources exceeds certain threshold values. However, prey extinction is driven by the higher levels of hunting cooperation among predators, while the availability of external food sources enhances the system's stability and persistence. Furthermore, we enhance the model by introducing seasonal perturbations, acknowledging the influence of seasonal variations on ecological parameters. The system exhibits diverse patterns in response to seasonality, contributing to a deeper understanding of the dynamics in predator–prey interactions. [ABSTRACT FROM AUTHOR]

Dealing with the prey–predator interactions in presence of disease is very important to understanding the dynamical behavior of population models. Here, we examine an eco-epidemiological model, in which both populations are infected. The predator population becomes infected by consuming infected prey. Once the predator population gets infected through the infected prey, it is likely susceptible predators can be infected through intraspecific contact with the infected predator even if the infected prey dies out from the system. Mathematically, we have analyzed the stability of all possible equilibria. Moreover, threshold values of the model parameters are obtained for which the system exhibits Hopf, transcritical, and saddle node bifurcations. Numerical simulations are used to verify the accuracy of the analysis. Furthermore, a global sensitivity analysis is performed in MATLAB to find the sensitive model parameters with infected populations. Complex dynamics such as chaos, bistability, and oscillatory coexistence of different periods are observed in the proposed system. We numerically verify the stability of the equilibrium points. • A predator–prey model with infection in both species is investigated. • Once predators get infected by infected prey, they spread disease among themselves. • Stability of each equilibrium and different types of bifurcation are analyzed. • Large predator feeding rates on susceptible prey may eradicate infected prey. • Proposed model exhibits complex dynamics such as chaos, bistability and limit cycle. [ABSTRACT FROM AUTHOR]