Towards Elimination Of Hiv/aids In Nigeria: An Optimal Control Model
The main purpose of this paper is to find the optimal control strategy for the elimination of HIV/AIDS in Nigeria. Using contemporary strategies in control of HIV in Nigeria such as counseling and condom use, we formulated the optimal control problem. The existence for the optimal control is established and the Pontryagin’s maximum principle is used to characterize these controls.
An Optimization Model For The Control Of Cholera
In this paper, we presented a mathematical model for the optimal control of cholera. Investigating the best means of reducing the final size of the epidemic, we introduced three time dependent controls namely, provision of clean water, social distancing and treatment. Using optimal control theory we developed an objective functional to minimize the number of infectives. The Pontryagin’s Maximum principle
Modeling The Optimal Control Of Malaria: Anti-mosquitoes Techniques
Malaria is one of the most important infectious diseases in sub-Saharan Africa and in many other regions of the world. The disease kills at least one African child in every minute. Malaria is a vector borne disease transmitted by the female anopheles mosquito in the process of feeding on human blood. In this paper we proposed an optimal control model
Mathematical Analysis Of A Mass Action Model
We presented and analyzed a mass action model with vital dynamics. This type of model is suitable for many childhood diseases like Mumps, Rubella and other highly contagious diseases like influenza. We showed that the region in which the model makes biological sense is positively invariant, this means that any solution of the model with initial condition in this region