Can protection zone potentially strengthen protective effects in random environments

A biological population mechanism with a protection zone under random environments is described as a stochastic system in this paper. The long time dynamical properties, several methods to strengthen the effect of protection zone and a method of dividing the protection zone are given for this stochastic system. Results show that environmental influences on different parameters have different effects. Conclusions also illustrate the positive effect of protection zone. That is protection zone can potentially strengthen protective effects in random environments. At last, some examples and several numerical simulations are introduced to explain the theoretical conclusions.