Persistence and extinction of a modified Leslie-Gower Holling-type II stochastic predator-prey model with impulsive toxicant input in polluted environments

In this paper, a stochastic predator-prey model with modified Leslie-Gower Holling-type II schemes and impulsive toxicant input in polluted environments is developed and analyzed. The threshold between persistence in the mean and extinction is established for each population. Some simulation figures are also introduced to illustrate the theoretical results.