Abstract
In this paper, a simplified mathematical model is developed through a system of ordinary differential equations for the transmission of diseases from person to person, conditions for disease control are provided and cases are studied in which it is not possible to apply the Hurwitz criterion, the corresponding qualitative study is carried out to draw conclusions on the future evolution of the disease. Additionally, the ways in which the different diseases are transmitted are analyzed and the possibilities of epidemic development and the conditions that must be created to avoid them are studied A background of the Mathematical Modeling research group is also indicated.
Reference15 articles.
1. Domínguez, S. S., Castillo, M. M., Chaveco, A. I. R., Do Nascimento, R. F., Oliveira, K., Leao, L. M., ... & Andrade, F. (2020). Lungs and blood oxygenation; Mathematical modeling. Divulgaciones Matemáticas, 21(1-2), 46-52.
2. Earn, D. J., Rohani, P., Bolker, B. M., & Grenfell, B. T. (2000). A simple model for complex dynamical transitions in epidemics. Science (New York, N.Y.), 287(5453), 667–670. https://doi.org/10.1126/science.287.5453.667
3. Esteva, L., & Vargas, C. (1998). Analysis of a dengue disease transmission model. Mathematical biosciences, 150(2), 131–151. https://doi.org/10.1016/s0025-5564(98)10003-2
4. Greenhalgh D. (1992). Some threshold and stability results for epidemic models with a density-dependent death rate. Theoretical population biology, 42(2), 130–151. https://doi.org/10.1016/0040-5809(92)90009-i
5. Hamer, W. H. (1906). Epidemic disease in England: the evidence of variability and of persistency of type. Bedford Press.