On A Stochastic NonAutonomous Discrete Population Equation 

^{1}^{*}Yi Yang 1*Department of Mathematics and Physics, Chongqing University of Science and Technology, Chongqing, 401331 China yangyi2001@163.com

Abstract
In this paper, we study a nonautonomous discrete population equation, in which the carrying
capacity of the environment is vary randomly and show that there is a unique invariant density to
which all other density distributions on the state variable converge. Further, for every initial nonzero
state variable and almost all random sequences of carrying capacities, the averages of the state
variable along an orbit and the carrying capacities exist and the former is strictly less than the later.

Keyword
Population Biology, Stochastic Difference Equation, Invariant Density
