The SIS Model for Japanese Encephalitis

Abstract

Various effects of disease JE (Japanese Encephalitis) causing death on the host population are studied in an endemic model of SIS type. The basic problem discussed in this paper is to describe the spread of an infection within a population. Thresholds are identified which determine when the population survives and when disease remains endemic. It is further assumed that there is no substantial development of immunity and that removed infectious are in effect cured of disease. The stability criteria for trivial and non-trivial equilibrium are studied. The analysis of Singh and Baily can be obtained by particularizing the generalized parameter.