Hethcote, H.W. and Thieme, H.R. (1985) Stability of the Endemic Equilibrium in Epidemic Models with Sub Populations. Mathematical Biosciences, 75, 205-227.
https://doi.org/10.1016/0025-5564(85)90038-0

has been cited by the following article:

• TITLE: Sensitivity Analysis of Dengue Model with Saturated Incidence Rate

  AUTHORS: M. M. Ojo, B. Gbadamosi, Adebimpe Olukayode, Ogundokun R. Oluwaseun

  KEYWORDS: Aedes aegypti, A. albopictus, Dengue Fever, Reproduction Number, Control Measures, Sensitivity Analysis, Aquatic Stage, Adult Stage

  JOURNAL NAME: Open Access Library Journal, Vol.5 No.3, March 27, 2018

  ABSTRACT: Dengue is a flavivirus, transmitted to human through the bites of infected Aedes aegypti and A. albopictus mosquitoes. In this paper, we analyze a new system of ordinary differential equations which incorporates saturated incidence function, vector biting rate and control measures at both the aquatic and adult stages of the vector (mosquito). The stability of the system is analysed for the dengue-free equilibrium via the threshold parameter (reproduction number) which was obtained using the Next generation matrix techniques. Routh Hurwitz criterion along together with Descartes’ rule of signs change established the local asymptotically stability of the model whenever R0