Analytical and Numerical Research of Predator-Prey systems with Ideal Free Distribution

Predator-prey system with Ideal Free Distribution (IFD) described by diffusion-advection-reaction equations is considered. For the function of prey growth and the functional response of the predator, modifications are introduced that allow the implementation of the IFD. The type of functions of directed migration and the relationship between the system coefficients for which IFD is possible are investigated. Using numerical methods, the stationary and oscillatory modes of the system are studied.