In this paper, we study a periodic predator-prey system with prey impulsively unilateral diffusion in two patches. Firstly, based on the results in , sufficient conditions on the existence, uniqueness and globally attractiveness of periodic solution for predator-free and prey-free systems are presented. Secondly, by using comparison theorem of impulsive differential equation and other analysis methods, sufficient and necessary conditions on the permanence and extinction of prey species x with predator have other food source are established. Finally, the theoretical results both for non-autonomous system and corresponding autonomous system are confirmed by numerical simulations, from which we can see some interesting phenomena happen. © 2011 Elsevier Inc.
Zhang, L., Teng, Z., & Liu, Z. (2011). Survival analysis for a periodic predator-prey model with prey impulsively unilateral diffusion in two patches. Applied Mathematical Modelling, 35(9), 4243–4256. https://doi.org/10.1016/j.apm.2011.02.041