Dynamic Behavior of a Commensalism Model with Nonmonotonic Functional Response and Density-Dependent Birth Rates

Abstract EN

In this paper, we propose and analyze a commensalism model with nonmonotonic functional response and density-dependent birth rates.

The model can have at most four nonnegative equilibria.

By applying the differential inequality theory, we show that each equilibrium can be globally attractive under suitable conditions.

However, commensalism can be established only when resources for both species are large enough.