Environment Quality Influences The Endogenous Lifetime In The Growth Model

This paper constructs the revelant two-period overlapping generations models in which the environmental quality may influence the endogenous lifetime.The first part of the paper supposes the enviromental capacity is measureless and enviromental degra-dation is inversely proportional to the human's health status,two simple concave in-creasing functions which stands for the probability function of surviving are introduced into the revelant model.It is shown that there exists multiple non-trivial equilibria and different types of equailibrium.The corresponding economic system exists multiple growth paths and appears poverty trap.It is also proved that the change of the specific environmental parameter will cause the dynamical system to generate the Saddle-Node bifurcation.The second part of the paper contains the finite enviromental capacity and human's health status depends positively on the quality of the current natural environ-ment.The simplest probability function of surviving is investigated into the revelant model,it is shown that the environmental-related parameters may represent dominent factors influencing the dynamics of the economy,the likelihood of Saddle-Node bifur-cation and Period-Doubling bifurcation occured.Futhermore,the static analysis shows that the environmental parameters can affect the per capita assets in the steady state.