Study on green accounting in recent literatures is a measure on weak sustainability,which assumes that the relationship between natural capital and man-made capital is substituted while strong sustainability recognizes as complementary.

Establish a model with HollingⅡ of the relation of air pollution basis on ecotoxicology,and get the term of population weak permanence and also get the global asymptotic stability of equilibrium point of system.

This essay states that the sustainable development based on economic growth can only be called weak sustainable development, and that the realization of a genuine sustainable development can only be derived from a strong sustainable development based on the integration between economics and ecology.

In this paper,for a kind of age-structured epidemic models,it is proved that the disease is extinct when the basic reproductive rate R_0<1,and the epidemic model possesses both the strong persistence and the uniform week persistence when R_0>1.