Epidemiology is the study of the events that befall a population, was originally defined as the study of epidemic of infectious diseases. The transmission of a disease can occur through direct contact, through the air, food, drink and through vector (animal carriers of disease) giving rise to the symptoms of the disease. The various efforts made to stop the spread of the disease so that the spread of the disease are not sustainable. Then it can be drawn up countermeasures, whether preventive or coercive treatment.

 

Along with the development of transportation technology facilitates the transfer of individuals from a certain place leading into other places, so as to enable the existence of the transmission of the disease through the medium of the air at the time of the individual doing the transfer. The model of the spread of the disease in the two areas have been examined a model of the SITR on the two territories by Kusumayadi (2015), and model SEIRS by Yolanda (2016), then developed in the form of model SEIR on two areas with two paths by Nurlita (2016), and model SEIR on two areas with multi-path by Hariyanto dkk (2016).

 

Analysis of stability of the equilibrium point is done to know the influence of the spread of disease caused by the virus on the survival of mankind, on the research of mathematical model was constructed type SEITR (Susceptible Exposed Infected Treatment Removed) to describe the spread of the virus between two areas with multi-path.

 

The model constructed by the presence of individuals who travel between the two territories with multiple-path branched and there is treatment in a population of individuals infected birds, resulting in a new population population treatment. Further analysis of the spread of the virus is done by performing an analysis of the stability.

 

Model in first and second region is

 

 

 

 

 

 

 

 

 

 

 

 

Where  ,

 

With , , so that changes that occur on each of the subpopulations reviewed on a system is  means that the rate of change of Susceptible subpopulations simultaneously observed in the entire region, similarly to the other subpopulations.

 

In the following model is done solving the differential equation, and in the search for equilibrium point and done pelinieran and stability analysis, so obtained a stable system with some parameter requirements.