Persistence and stability for a two-species ratio-dependent predator-prey system with time delay in a two-patch environment

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Existence and global attractivity of positive periodic solutions for impulsive predator–prey model with dispersion and time delays (2009, background): “In recent years, applications of theory of differential equations in mathematical ecology have developed rapidly, various mathematical models have been proposed in the study of population dynamics [2] [3] [4] [5] [6] [7] [8].”
Periodic solutions for a delayed predator-prey model of prey dispersal in two-patch environments (2004, background): “Since the pioneering theoretical work by Skellam [28], many works have focused on the e#ect of spatial factors which play a crucial rule in the persistence and stability of a population ([1–5,8–12,19,21–24,28–34,36–39], and references cited therein).”