Special Session 69: Lie Symmetries, Conservation laws and other approaches in solving nonlinear differential equations
Contents
A certain diffusive epidemic model is investigated to understand infective environment. The free boundary is introduced to describe the expanding front of an infective environment induced by transmitted disease. The basic reproduction number for the free boundary problem is introduced, and the behaviour of positive solutions to the reaction-diffusion system is discussed. Sufficient conditions for the bacteria to vanish or spread are given.