In his paper titled “Global properties of a class of HIV model”, he established the criteria under which the infection either increase or sustained once it gained entrance into the body system. The graph represent the density of the infected CD-4 cells with one control Strategy u1 and without control Figure 9: It was observed that two controls performed better with compartments x1 , y1 and v1. The graph represent the density of the infected Macrophages cells with and without control Figure 6: The result show that HAART is capable of removing the infected cells quicker thereby reducing the viral burden of the infection in the immune system.
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HIV Myths and Facts: Consider the Jacobian matrix of the system of equations 3. Here, the law of mass action was used. Analysis of Optimal Control of the Model.
Local and Global Analysis of the effective reproduction number was done and the result shows that I.
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This is a treatment strategy that builds immunity for the defense cells. Applying the elementary knowledge in Calculus by noting that at equilibrium, the dx dx1 dy dy1 dv rate of jiibril is zero. The first phase known as the acute stage is characterize with strong viral 1 corresponding author Mathematics Subject Classification.
The second phase is the asymptomatic stage which is characterized with no symptoms of HIV and free from major AIDS related opportunistic diseases. All the parameters of the model are supposed to be positive. Eliminating v from the first and third equa- tions of 3.
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Inclusive of all taxes. Amazon Prime Music Stream millions of songs, ad-free. This complete the prove. The graph represent the density of the infected Jjbril cells with and without control Figure 6: The model proposed here modified his model by including the efficacy of HAART in helping the immune systems CD4 cells and Macrophages to fight off the infection by i removing the infected cells jigril the body system to ease the viral burden ii helping the body to produce more anti bodies to replace the infected ones and iii suppressing the multiplicative effect of the virus in the body system.
Key words and phrases. This complete the proof of the Lemma 3. In his paper titled “Global properties of a class of HIV model”, he established the criteria under which the infection either increase or sustained once jivril gained entrance into the body system.
The following are the basic assumptions for this model: Lett 5763— The study aimed at looking into the effect of education, early diagnosis of the infection through proper screen- ing and early treatment of jibeil body as a means of helping the body to stay healthier for a longer period of time.
Thus, clearance rate 0 c0 of the virus from the immune system is a highly sensitive param- eter that must be increased if we want to take a shot at eradication of 4m infection. The system of equations 2. Following the approach established by Driessche and Watmough, see , the basic reproduction number of the model was obtained as: Would you like to tell us about a lower price?
Several researchers have worked on optimal control measures to infectious disease, among them are , they analyzed cost effectiveness in treating Tuberculosis 4o. Don’t see what you’re looking for?
The graph represent the density of the infected CD-4 cells with and without control Figure 4: Your bank will convert the payment done using credit or debit cards into EMI in working days.
4, and Endemic State Equilibrium E.
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E above, we have: Product information Technical Details. The goal is to increase 44k number of immune cells CD-4 and Macrophages present at any time by reducing the viral load the number of free virions through reducing the infected cells while also minimizing the cost of treatment.
It was ob- served from the optimal control analysis that good dietary attitude coupled with cleansing power of HAART can reduce the viral burden to an infinitesimally small amount. Human Immunodeficiency Virus infection has constitute one of the developmental, health and socio-economic challenges facing the whole world today due to its wide range of infectiousness, strong mortality rate, super-expensive treatment drug with no amelioration and outright in-curability [2, 8].