The effects of migratory bird population in a nonautonomous eco-epidemiological model

In ecology the disease in the rare migratory bird population plays an important role in controlling the dynamical behavior of system. In this paper, we investigate a nonautonomous two species (migratory bird population and economical bird population) competitive model with saturation incidence and artificially harvesting and study the dynamical changes that take place due to the introduction of a disease by migratory birds. Under the reasonable assumptions, sufficient conditions for the permanence and extinction of the disease are obtained. Moreover, the global attractivity of the model is discussed by constructing a Liapunov function. To substantiate our theoretical results, extensive numerical simulations are performed for a hypothetical set of parameter values.