Stability of the non-stationary predator-prey model taking into account the delay

This work is devoted to a qualitative research of the predator-prey model, that takes into account the dependence of the growth of each species on the prehistory of another species. The mathematical model is described by non-stationary integro-differential equations. In the work, the stability problem of the equilibrium states of the constructed model is investigated. Numerical modeling using mathematical application software has been carried out.