Open Access

A Comparative Study Between Two Systems with and Without Awareness in Controlling HIV/AIDS


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Abiodun, G.J., Marcus, N., Okosun, K.O. and Witbooi, P.J. (2013). A model for control of HIV/AIDS with parental care, International Journal of Biomathematics 6(02): 1350006.10.1142/S179352451350006XSearch in Google Scholar

Al-arydah, M. and Smith, R. (2015). Adding education to test and treat: Can we overcome drug resistance?, Journal of Applied Mathematics 2015, Article ID 781270, DOI: 10.1155/2015/781270.10.1155/2015/781270Search in Google Scholar

Barbalat, I. (1959). Syst`emes d’´equations diff`erentielles d’oscillations non-lin´eaires, Revue Roumaine de Math´ematiques Pures et Appliqu´ees 4(2): 267-270.Search in Google Scholar

Bhunu, C., Garira, W. and Magombedze, G. (2009). Mathematical analysis of a two strain HIV/AIDS model with antiretroviral treatment, Acta Biotheoretica 57(3): 361-381.10.1007/s10441-009-9080-219357968Search in Google Scholar

Cai, L., Li, X., Ghosh, M. and Guo, B. (2009). Stability analysis of an HIV/AIDS epidemic model with treatment, Journal of Computational and Applied Mathematics 229(1): 313-323.10.1016/j.cam.2008.10.067Search in Google Scholar

Castillo-Chavez, C., Blower, S., Driessche, P., Kirschner, D. and Yakubu, A.-A. (2002). Mathematical Approaches for Emerging and Reemerging Infectious Diseases: Models, Methods, and Theory, Springer, New York, NY.10.1007/978-1-4613-0065-6Search in Google Scholar

Castillo-Chavez, C. and Song, B. (2004). Dynamical models of tuberculosis and their applications, Mathematical Biosciences and Engineering 1(2): 361-404.10.3934/mbe.2004.1.36120369977Search in Google Scholar

Chatterjee, A.N. and Roy, P.K. (2012). Anti-viral drug treatment along with immune activator IL-2: A control-based mathematical approach for HIV infection, International Journal of Control 85(2): 220-237.10.1080/00207179.2011.643414Search in Google Scholar

Chatterjee, A.N., Saha, S. and Roy, P.K. (2015). Human immunodeficiency virus/acquired immune deficiency syndrome: Using drug from mathematical perceptive, World Journal of Virology 4(4): 356.10.5501/wjv.v4.i4.356464122726568917Search in Google Scholar

Elbasha, E.H. and Gumel, A.B. (2006). Theoretical assessment of public health impact of imperfect prophylactic HIV-1 vaccines with therapeutic benefits, Bulletin of Mathematical Biology 68(3): 577.10.1007/s11538-005-9057-516794946Search in Google Scholar

Gumel, A.B., Castillo-Chavez, C.,Mickens, R.E. and Clemence, D.P. (2006). Mathematical Studies on Human Disease Dynamics: Emerging Paradigms and Challenges, Vol. 410, American Mathematical Society, Boston, MA.Search in Google Scholar

Hove-Musekwa, S.D. and Nyababza, F. (2009). The dynamics of an HIV/AIDS model with screened disease carriers, Computational and Mathematical Methods in Medicine 10(4): 287-305.10.1080/17486700802653917Search in Google Scholar

Hyman, J.M., Li, J. and Stanley, E.A. (2003). Modeling the impact of random screening and contact tracing in reducing the spread of HIV, Mathematical Biosciences 181(1): 17-54.10.1016/S0025-5564(02)00128-1Search in Google Scholar

Kiss, I.Z., Cassell, J., Recker, M. and Simon, P.L. (2010). The impact of information transmission on epidemic outbreaks, Mathematical Biosciences 225(1): 1-10.10.1016/j.mbs.2009.11.00919948177Search in Google Scholar

Korobeinikov, A. and Maini, P.K. (2004). A Lyapunov function and global properties for SIR and SEIR epidemiological models with nonlinear incidence, Mathematical Biosciences and Engineering 1(1): 57-60.10.3934/mbe.2004.1.5720369959Search in Google Scholar

Misra, A., Sharma, A. and Singh, V. (2011). Effect of awareness programs in controlling the prevalence of an epidemic with time delay, Journal of Biological Systems 19(02): 389-402.10.1142/S0218339011004020Search in Google Scholar

Nyabadza, F. (2006). A mathematical model for combating HIV/AIDS in southern Africa: Will multiple strategies work?, Journal of Biological Systems 14(03): 357-372.10.1142/S0218339006001866Search in Google Scholar

Roy, P.K. (2015). Mathematical Models for Therapeutic Approaches to Control HIV Disease Transmission, Springer, Singapore.10.1007/978-981-287-852-6Search in Google Scholar

Roy, P. K., Saha, S. and Al Basir, F. (2015). Effect of awareness programs in controlling the disease HIV/AIDS: An optimal control theoretic approach, Advances in Difference Equations 2015(1): 217-234.10.1186/s13662-015-0549-9Search in Google Scholar

Samanta, S. and Chattopadhyay, J. (2014). Effect of awareness program in disease outbreak-a slow-fast dynamics, Applied Mathematics and Computation 237(8): 98-109.10.1016/j.amc.2014.03.109Search in Google Scholar

Smith, R.J., Okano, J.T., Kahn, J.S., Bodine, E.N. and Blower, S. (2010). Evolutionary dynamics of complex networks of HIV drug-resistant strains: The case of San Francisco, Science 327(5966): 697-701.10.1126/science.118055620075214Search in Google Scholar

Statistics (2006). Statistics of South Africa. Website of the mid-year population estimates, Statistical release P0302, South Africa, http://www.statssa.gov.za/publications.Search in Google Scholar

Tripathi, A., Naresh, R. and Sharma, D. (2007). Modeling the effect of screening of unaware infectives on the spread of HIV infection, Applied Mathematics and Computation 184(2): 1053-1068.10.1016/j.amc.2006.07.007Search in Google Scholar

UDAIDS/WHO (2014). Website of the UDAIDS/WHO epidemiological fact sheets on HIV and AIDS, http://www.who.int/hiv/en/.Search in Google Scholar

UDAIDS/WHO (2015). Website of the UDAIDS/WHO epidemiological fact sheets on HIV and AIDS, http://www.who.int/hiv/en/.Search in Google Scholar

Van den Driessche, P. and Watmough, J. (2002). Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission, Mathematical Biosciences 180(1): 29-48.10.1016/S0025-5564(02)00108-6Search in Google Scholar

eISSN:
2083-8492
Language:
English
Publication timeframe:
4 times per year
Journal Subjects:
Mathematics, Applied Mathematics