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Dynamical behavior of leptospirosis disease and role of optimal control theory

Gul Zaman


In this work, we consider two nonlinear models. The First model describes the interaction between susceptible and infected human in population, while the second model represents the interaction between susceptible and infected vector population. We First establish stability results for both models. To control the spread of diseases, we combine both models to develop one model and apply optimal control strategies, which reduce the susceptible human and infected vector and increase the total number of recovered human. In order to do this, we show that an optimal control exists for this optimal control problem and then we consider our optimal problems to find the numerical solution. Finally the numerical simulations of a real epidemic; the leptospirosis epidemic in Thailand is presented for the justification of our optimal control techniques.


Ratio and Product Estimator, Transformed Estimator, UPS Scheme, SRSWOR Scheme.

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