Abstract—Respiratory diseases can easily transmit between people. In this study, we formulate the simple model S-I-R-I (Susceptible-Infectious-Recovered-Infectious) for describing the transmission of this disease. The model is analyzed by using dynamical modeling method. After that, we simulate our equations by using numerical method. The numerical solutions are found to confirm our analytical results. Analysis of parameters are given.

Index Terms—Dynamical modeling method, model, numerical method, respiratory diseases, simulation.

Puntani Pongsumpun is with Department of Mathematics, Faculty of Science, King Mongkut’s Institute of Technology Ladkrabang, Thailand (email: kppuntan@kmitl.ac.th).

Cite: Puntani Pongsumpun, "Simple Model for Respiratory Diseases," International Journal of Bioscience, Biochemistry and Bioinformatics vol. 7, no. 2, pp. 118-124, 2017.