Stochastic effects in the eco-epidemiological model with multirhythmicity

We consider the eco-epidemiological "predator-prey"model taking into account the Allee effect in the population of predators and dividing the prey population into infected and susceptible. Depending on the Allee parameter, bifurcation analysis with the identification of zones of bi- and multirhythmicity is carried out. Spatial basins of attraction for cycles are constructed. For the stochastic version of the model, probabilistic mechanisms of transitions between two different regular oscillatory regimes and between regular and chaotic ones are studied. The preferential modes that occur in the presence of random interference are determined. A phenomenon of noise-induced extinction of the predator population is discussed. © 2022 Author(s).Russian Science Foundation, RSF, (N 21-11-00062)The work was supported by Russian Science Foundation (N 21-11-00062)

Dynamical Behavior of an Eco-epidemiological Model Incorporating Prey Refuge and Prey Harvesting

In this paper an eco-epidemiological model incorporating a prey refuge and prey harvesting with disease in the prey-population is considered. Predators are assumed to consume both the susceptible and infected prey at different rates. The positivity and boundedness of the solution of the system are discussed. The existence and stability of the biologically feasible equilibrium points are investigated. Numerical simulations are performed to support our analytical findings