Department of Mathematics

Permanent URI for this collectionhttp://localhost:4000/handle/123456789/1920

Browse

Filters

20161

Settings

Author: search.filters.author.Kulshrestha, RakheeSubject: search.filters.subject.Stability

Search Results

Now showing 1 - 1 of 1
  • No Thumbnail Available
    Item
    Epidemic Model of HIV/AIDS Transmission Dynamics with Different Latent Stages Based on Treatment
    (Science PC, 2016-10) Kulshrestha, Rakhee
    The mathematical model for analyzing the transmission dynamics of HIV/AIDS epidemic with treatment is studied by considering the three latent compartments for slow, medium and fast progresses of developing the AIDS. By constructing the system of differential equations for the different population groups namely susceptible, three types of latent individuals, symptomatic stage group and full blown AIDS individuals, the mathematical analysis is carried out in order to understand the dynamics of disease spread. By determining the basic reproduction number (R0), the model examines the two equilibrium points (i) the disease free equilibrium and (ii) the endemic equilibrium. It is established that if R0 <1, the disease free equilibrium is locally and globally asymptotically stable. The stability of endemic equilibrium has also been discussed.