Analisis Kestabilan Model Penyebaran Penyakit Toxoplasmosis pada Populasi Manusia dan Kucing

This final project studies the contruction and analyzes the stability of Toxoplasmosis epidemic model. Using a compartment model, Toxoplasmosis epidemic model classified into human population and cat population. The human population is divided into three subpopulations such as susceptible human, infected human, and recovered human. The cat population is divided into two subpopulations such as susceptible cat and infected cat. Stability analysis performed on two equilibrium models of disease free equilibrium and endemic equilibrium point. Stability analysis result showed that cat infected spread, natural birthd rate of cat population, natural death rate of cat population, and the probability of cat natality in the form of basic reproductive number (R0) is value that affect human population and cat population changed spread. When R0 1 the disease will be spread. Model of the simulation is numerically analyzed by Runge Kutta 4th Order methods.