In this paper, we develop a dynamic network model of ecological food webs and prove that the set of stationary points of the projected dynamical system coincides with the set of solutions of a variational inequality governing the equilibrium of predator–prey networks. We also establish the...

Predators and preys often form species networks with asymmetric patterns of interaction. We study the dynamics of a four species network consisting of two weakly connected predator–prey pairs. We focus our analysis on the effects of the cross interaction between the predator of the first pair...

The dependence of total population and population distribution on the spatial distribution of the intrinsic growth factor is studied. The existence of solutions of a nonlinear single species and the corresponding predator-prey model is established. The solutions are then approximated by the...