Boltzmann entropy: Generalization and applications

The object of the paper is to generalize Boltzmann entropy to take account of the subjective nature of a system. The generalized entropy or relative entropy so obtained has been applied to an ecological system leading to some interesting new results in violation of existing physical laws. The entropy was further developed to derive a generalized macroscopic measure of relative entropy which plays a significant role in the study of stability and evolution of ecological and chemical reaction systems.