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Castillo-Chavez, C., Feng, Z. and Huang, W. (2002) On the Computation of RO and Its Role on Global Stability. In: Castillo-Chavez, P.C., Blower, S., Driessche, P., Kirschner, D. and Yakubu, A.-A., Eds., Mathematical Approaches for Emerging and Reemerging Infectious Diseases: An Introduction, Springer, Berlin, 229.
https://doi.org/10.1007/978-1-4757-3667-0_13

has been cited by the following article:

• TITLE: Global Dynamics of an SEIRS Compartmental Measles Model with Interrupted Vaccination

  AUTHORS: Dominic Otoo, Justice A. Kessie, Elvis K. Donkoh, Eric Okyere, Williams Kumi

  KEYWORDS: Global Stability, Lyapunov Function, Matrix Theoretic Method, Next Generation Matrix, SEIRS

  JOURNAL NAME: Applied Mathematics, Vol.10 No.7, July 24, 2019

  ABSTRACT: Measles is a reemerging disease that has a devastating impact, especially among children under 5. In this paper, an SEIRS model is developed to investigate a possible outbreak among the population of children under 5 in the Sunyani Municipality. We consider waning immunity or loss of immunity among those who were vaccinated, which leads to secondary attacks among some in the population. Using Routh-Hurwitz criterion, Matrix Theoretic and Goh-Volterra Lyapunov functions, the stability of the model was investigated around the equilibria. We have computed the threshold parameter, R0, using the Next Generation Matrix method. The disease-free equilibrium is globally stable whenever R0 ≤1 and unstable otherwise. The endemic equilibrium is globally stable when R0>1.