KESTABILAN MODEL SIS DENGAN LOGISTIK DAN NON MONOTON INCIDENCE RATE

Abstract

ABSTRACT

Our paper proposed a non monotonous incidence rate, logistic growth, and migration for SIS model. The character of originally of SIS model which using bilinear incidence rate will cover by new model. An existences and stabilities of free disease state and endemic are investigated to explore the characteristic of model. The existence of equilibrium point is founded by solving differential equation of the model and their stability is explored by an Eigen criteria. We obtained that only one free disease state and endemic which asimtotycal stable by condition.

Keywords: SIS Model, Non Monoton Incidence Rate, Free Disease state, Endemic state, Stability