### Abstract

A qualitative analysis of an SIV (susceptible-infected-vaccinated) model of the spread of gonorrhea in a homosexually active population is performed. A basic reproduction number ℝ_{o} is identified and a threshold nature of the disease is established; it is shown that if ℝ_{o} < 1, the disease free equilibrium is globally asymptotically stable implying the disappearance of the disease in the population; if ℝ_{o} > 1 then it is shown that the endemic equilibrium is globally asymptotically stable implying the invasion of the population by the disease. These results are established by using the theory of the asymptotically autonomous differential equations.

Original language | English |
---|---|

Pages (from-to) | 51-64 |

Number of pages | 14 |

Journal | Neural, Parallel and Scientific Computations |

Volume | 19 |

Issue number | 1-2 |

Publication status | Published - 2011 |

## Fingerprint Dive into the research topics of 'Stability of a continuous time model'. Together they form a unique fingerprint.

## Cite this

Leung, I., & Gopalsamy, K. (2011). Stability of a continuous time model.

*Neural, Parallel and Scientific Computations*,*19*(1-2), 51-64.