in this paper, we have proposed a study on controllability and optimal harvestingof a prey predator model and mathematical non linear formation of the equation equilibriumpoint of routh harvest stability analysis. the problem of determining the optimal harvestpolicy is solved by invoking pontryagin0s maximum principle dynamic optimization of theharvest policy is studied by taking the combined h...

A tuberculosis model which incorporates treatment of infectives and chemoprophylaxis is considered. For this model, controls on treatment, chemoprophylaxis and disease relapse are incorporated to reduce the latently infected and actively infected individual populations, via application of the Pontryagins Maximum Principle of optimal control theory.

This paper considers a optimal control analysis of a non -linear dynamical system of linear quadratic control. It is shown the difference between the stochastic and deterministic control system and for the occurrence of symmetry breaking as a function of the noise is included to formulate the stochastic model. For the Deterministic optimal control problem existence of optimal control is proved ...

In this work, an optimal control strategy is developed to eliminate the spread of HIV-1. To do this, two control variables are used such as the efficaciousness of drug therapy in reducing the infection of new cells and decreasing the production of new viruses. Existence for the optimal control pair is accomplished and the Pontryagins Maximum Principle is used to characterize these optimal contr...

Optimal control theory is applied to a system of ordinary differential equations modeling Buruli ulcer transmission in population. We apply controls on mass treatment, insecticide and mass education to minimize the number of infected hosts and infected vectors as well as infected fishes. The model takes into account human, water bug and fish populations as well as MU in the environment. The hos...

This paper addresses a modified epidemic model with saturated incidence and incomplete treatment. The existence of all equilibrium points is analyzed. A reproduction number R0 determined. Next, it found that the non-endemic point P0 stable in case R0<1, but unstable R0>1. special conditions to analyze local global stability endemic are investigated. Globally, sensitivity analysis system s...

Optimal control is the policy of getting the optimized control value for minimizing a predefined cost function. Recently, several optimization methods have been introduced for achieving this purpose.1–4 Among these methods, Pontryagins maximum principle5 and the Hamilton Jacobi Bellman equation6 are the most popular. In Pontryagins maximum principle, the optimal control problem will be converte...

The central objective of this paper is to deliver an intergenerational Life Cycle model considering the retirement process based on pay-as-you-go system (PAYG). Our inspired by Baranzinis’ approach, where optimal consumption analysis made in a two-class type and restricted capital variation each one. main results observe equilibrium solution stock both classes conclude that PAYG does interfere ...