A mathematical model has become a useful tool to predict and control dengue fever dynamics. In reality, the dynamic of dengue fever transmission can be disturbed by uncertainty measurements, so it is needed to consider the disturbance in the model. Then, dengue fever model with disturbance is constructed by using a gain matrix consisting a covariance matrix and random vector. As dengue vaccine has been challenging to reduce the pandemic, a dengue model with vaccination as control is constructed. The aim is to propose a feedback controller that can reduces the infected human (H2 control problem) and the uncertainty measurements (H∞ control problem). The control u denotes the proportion of susceptible humans that one decides to vaccinate at time t. A random mass vaccination with wanning immunity is chosen because vaccine still on development process. A Design of mixed H2 - H∞ control with State-dependent Riccati Equation (SDRE) approach is applied. The SDRE has been an effective method to solve for synthesizing nonlinear feedback controller by transforming the system to an State-dependent coefficient (SDC) form. By comparing the mixed scheme with basic H∞, numerical simulation shows that the control application effectively decreases the number of infected humans and reduces the disturbance.
In this paper the number of humans infected with cholera was controlled under the uncertainty in cholera model parameters. The aim of this research is to design an adaptive control so that the number of infected humans decreases. To achieve this goal, an adaptive controller was proposed to a deterministic model for the transmission of cholera involving five state variables (susceptible humans, infected humans, quarantined humans, recovered humans, and bacterial concentration) and one input control variable, i.e, the proportion of quarantined humans. A control law was designed such that the number of infected humans was decreased tracking the given reference function. The tracking error convergence were analyzed by employing the Lyapunov theorem. The performance of the proposed controller was evaluated through numerical simulations. The results show that the adaptive controller designed to the model ensures the tracking error convergence such that the number of infected humans has declined.
This paper aims to describe the empowering of street vendors in schools affected by covid-19 in Way Jepara District, East Lampung Regency. This article uses a participatory action research approach in the process of empowering street vendors. The results of this research are as follows: Assistance of street vendors has changed, namely; First, the increased self-awareness of traders that entrepreneurship must be started now and be tried immediately so that they can become independent; Second, being able to make changes to the way of organization to be of higher quality; Third, the formation of a merchant gathering forum with the name Fosikom Kreatif PKL Way Jepara as a forum for empowering traders who according to them can provide solutions in a pandemic situation. After this action research program was carried out, the street vendors in Way Jepara District, had the skills and activities that could meet the daily needs of their families to create a safe, peaceful, prosperous and harmonious society.
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