Naresh, R., Tripathi, A. and Sharma, D. (2009) Modelling and Analysis of the Spread of AIDS Epidemic with Immigration of HIV Infectives. Mathematical and Computer Modelling, 49, 880-892.
https://doi.org/10.1016/j.mcm.2008.09.013

has been cited by the following article:

• TITLE: Optimal Control of an HIV/AIDS Epidemic Model with Infective Immigration and Behavioral Change

  AUTHORS: Mamatjan Mastahun, Xamxinur Abdurahman

  KEYWORDS: HIV/AIDS, Infective Immigration, Global Stability, Optimal Control

  JOURNAL NAME: Applied Mathematics, Vol.8 No.1, January 25, 2017

  ABSTRACT: In order to find out the effect of human (sexual) behavior change and immigration in spreading the HIV/AIDS, a deterministic model of HIV/AIDS with infective immigration is formulated. First, basic properties of the model, including non-negativity and boundedness of the solutions, existence of the endemic equilibrium and the basic reproduction number, R0 are analyzed. The geometrical approach is used to obtain the global asymptotic stability of endemic equilibrium. Then the basic model is extended to include several control efforts aimed at reducing infection and changing behavior. Pontryagin’s maximum principle is used to derive the optimality system and solve the system numerically. Our numerical findings are illustrated through simulations using MATLAB, which shows reliability of our model from the practical point of view.