School of Physical Sciences (SPS)

Permanent URI for this communityhttp://197.211.34.35:4000/handle/123456789/36

School of Physical Sciences (SPS)

Browse

Filter results by typing the first few letters
Now showing 1 - 2 of 2
  • No Thumbnail Available
    Item
    A Mathematical Study of HIV Transmission Dynamics with Counselling and Antiretroviral Therapy
    (International Journal of Scientific and Innovative Mathematical Research (IJSIMR), 2015-02) F. A. Oguntolu; R. O. Olayiwola; A. O. Bello
    In this paper, a mathematical model of HIV transmission dynamics with counseling and Antiretroviral therapy (ART) as a major means of control of infection is presented. The existence and uniqueness of solutions of the model were examined by actual solution. The stability analysis of the critical points was conducted. The results show that it is globally asymptotically stable under certain conditions. The systems of equations were solved analytically using parameter-expanding method coupled with direct integration. The results are presently graphically and discussed. It is discovered that the parameters involved play a crucial role in the dynamics of the diseases which indicate that ART and counseling could be effective methods in the control and eradication of HIV.
  • No Thumbnail Available
    Item
    Analytical Simulation of Cholera Dynamics Controls
    (International Journal of Innovative Science, Engineering & Technology, 2015-03) F. A. Oguntolu; R. O. Olayiwola; O. A. Odebiyi; A. O. Bello
    In this paper, an analytical simulation of cholera dynamics with control is presented. The model incorporates therapeutic treatment, water sanitation and Vaccination in curtailing the disease. We prove the existence and uniqueness of solution. The systems of equations were solved analytically using parameter-expanding method coupled with direct integration. The results are presented graphically and discussed. It shows clearly that improvement in treatment, water sanitation and Vaccination can eradicate cholera epidemic. It also observed that with proper combination of control measures the spread of cholera could be reduced.