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If k8 is zero, then the special case of infected equilibrium is given as: 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. This proof the lemma. MT by Movic Brand: Would you like to tell us about a lower price?

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This explained the reason why people that started the therapy early tend to leave a longer healthy life despite the infection.

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Save Extra with 3 offers. Audible Download Audio Books. Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission, Mathematical Biosciences,29— The proposed optimal control problem with objective functional is derived as: The constants S1S2 and S3 denote the relative weight weighting constants attached to the drug and food therapies, u1u2 and u3 are the control variables.

It was observed from the analysis of the effective reproduction number of the model that the higher the effective- ness of HAART in cleaning the system of the virus, the lower the reproduction number. No Color multicolour Item Weight The control functions introduced are bounded and Lebesque integrable.


E above, we have: Multiplication of the virus at the detriment of the immune system of the body notably the CD4-T-cells and Macrophages is the effect of introduction of small amount of the virus into the body system of previously susceptible individual. Don’t see what you’re looking for? 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. 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].

The optimal strategy was obtained by solving the thirteen ODEs resulting from the state vari- ables, adjoint equations and co-state equations.

The positive solution of the quadratic equation gives the desired infected equilibrium point as: The total amount you will pay to the bank excluding GST will be equal to the price of the item.

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E and the Endemic State Equilibrium E. Flow Chart of Extended Model The system of equations representing the model is given as: Be the first to review this item. You can edit your jibgil or post anyway. All the parameters of the model are supposed to be positive.


There was a problem completing your request. All controlled model were plotted against no control and the figures below were obtained.

Share your thoughts with other customers. The system of equations 2. Click here to sign up. For payments done using credit and debit cards, to make this a No Cost EMI offer, the interest amount will be discounted from the price of your order. Inclusive of all taxes.

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Image Unavailable Image not available for Colour: This complete the proof of the Lemma 3. Also, from elementary Mathematics, it is obvious to say that the arithmetical mean is always greater than or equal to the geometrical mean such that the first four terms of 3. Also, [10] studied the optimal control strategy of HIV-1 epidemic by incorporating two controls to the HIV-1 recombinant virus model. Your bank will convert the payment done using credit or debit cards into EMI in working days.

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