Castillo-Chavez, C., Feng, Z. and Huang, W. (2002) On the Computation of R0 and Its Role on Global Stability. In: Mathematical Approaches for Emerging and Reemerging Infectious Diseases: An Introduction, Vol. 125 of IMA, Springer, New York, 229-250.
https://doi.org/10.1007/978-1-4757-3667-0_13

has been cited by the following article:

• TITLE: Mathematical Model of Classical Kaposi’s Sarcoma

  AUTHORS: Obias Mulenga Chimbola

  KEYWORDS: Human Herpesvirus-8, Lyapunov Function, Classical Kaposi’s Sarcoma

  JOURNAL NAME: Applied Mathematics, Vol.11 No.7, July 16, 2020

  ABSTRACT: In this paper, the global properties of a classical Kaposi’s sarcoma model are investigated. Lyapunov functions are constructed to establish the global asymptotic stability of the virus free and virus (or infection) present steady states. The model considers the interaction of B and progenitor cells in the presence of HHV-8 virus. And how this interaction ultimately culminates in the development of this cancer. We have proved that if the basic reproduction number, R0 is less than unity, the virus free equilibrium point, ε0, is globally asymptotically stable (GAS). We further show that if R0 is greater than unity, then both the immune absent and infection persistent steady states are GAS.