In this study a non linear mathematical model of HIV/AIDS with treatment, vertical transmission a... more In this study a non linear mathematical model of HIV/AIDS with treatment, vertical transmission and progression rate was considered. The next generation matrix was used to evaluate the basic reproduction number (R 0) and the comparison approach was used to examine the global stability. The disease – free and the endemic equilibrium of the model were determined. The sensitivity analysis was carried out to determine the parameter that has high impact on the spread of the disease and the maple software was used for numerical simulation of the model. The disease free and endemic equilibrium were obtained and there stabilities studied. The model showed that the disease free equilibrium is locally asymptotically stable by using Routh Hurwitz criteria but globally of the disease free equilibrium is not stable by comparism approach. The numerical simulation shows that by using treatment measures and by controlling the rate of vertical transmission with time, the spread of the disease can reduced significantly and that providing treatment at the pre-AIDs stage reduces the infection much faster than starting treatment after progression into AIDs.
CAREER TALK 2Ti 2:15 Study to shew thyself approved unto God, a workman that needeth not to be as... more CAREER TALK 2Ti 2:15 Study to shew thyself approved unto God, a workman that needeth not to be ashamed, rightly dividing the word of truth. (KJV)
In this study a non linear mathematical model of HIV/AIDS with treatment, vertical transmission a... more In this study a non linear mathematical model of HIV/AIDS with treatment, vertical transmission and progression rate was considered. The next generation matrix was used to evaluate the basic reproduction number (R 0) and the comparison approach was used to examine the global stability. The disease – free and the endemic equilibrium of the model were determined. The sensitivity analysis was carried out to determine the parameter that has high impact on the spread of the disease and the maple software was used for numerical simulation of the model. The disease free and endemic equilibrium were obtained and there stabilities studied. The model showed that the disease free equilibrium is locally asymptotically stable by using Routh Hurwitz criteria but globally of the disease free equilibrium is not stable by comparism approach. The numerical simulation shows that by using treatment measures and by controlling the rate of vertical transmission with time, the spread of the disease can reduced significantly and that providing treatment at the pre-AIDs stage reduces the infection much faster than starting treatment after progression into AIDs.
CAREER TALK 2Ti 2:15 Study to shew thyself approved unto God, a workman that needeth not to be as... more CAREER TALK 2Ti 2:15 Study to shew thyself approved unto God, a workman that needeth not to be ashamed, rightly dividing the word of truth. (KJV)
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Papers by Akanni Olajide