Epidemic Thresholds in SIR and SIIR Models Applying an Algorithmic Method
- 746 Downloads
Epidemic thresholds were deduced and simulated from SIR models of Susceptible – Infected – Recovered individuals, through local stability analysis of the disease free and endemic equilibrium, with an algorithmic method. One and two types of infected individuals were modeled, considering the influence of sub clinical, undiagnosed or unrecognized infected cases in disease transmission.
KeywordsMathematical model basic reproduction number
- 2.Anderson, R.M., May, R.M.: Infectious diseases of humans: dynamics and control. Oxford University Press, New York (1992)Google Scholar
- 8.Bailey, N.T.J.: The mathematical theory of epidemics, p. 194. Charles Griffin and company limited, London (1957)Google Scholar
- 9.Panamerican Health Organization. Health conditions and trends. Health in the Americas, edn. Washington, DC, pp. 58–207 (2007)Google Scholar