[PDF] Top 20 An epidemic model for cholera with optimal control treatment

... controlling epidemic diseases has always been controversial, because such strategy raises political, ethical and socioeconomic issues and requires a careful balance between public interest and individual rights [ ... See full document

... simplest case, stratify the population into two health states: susceptible to the infection of the pathogen, often denoted by S , and infected by the pathogen, often denoted by the symbol I . The way that these ... See full document

... their treatment of transmission via a hyperinfectious stage into a more standard direct- transmission ...cases, with the average lifespan of a hyperinfectious bacterium (their variable BHI) being on the ... See full document

... mathematical model for the dengue disease transmission from the optimal control point of ...the optimal control strategies to deal with an outbreak of the dengue ... See full document

... childhood. With the advent of modern healthcare support, the 5-year survival rate has been impressive in the recent ...several treatment-related medical and socio-economic complications due to excessive and ... See full document

... to model the spreading of an infectious diseases in a certain ...the epidemic. An individual can be in the S compartment if vulner- able (or susceptible) to the ...contact with ... See full document

... of optimal control problems requires the use of numerical methods to compute control and optimal state trajectories for a dynamical system, aiming to optimize a particular performance ... See full document

... like cholera and yellow fever, it is known that the size of the latency period may decrease with global warming ...SEIRS model with vaccination and treatment as control variables ... See full document

... compartmental model of a horizontally transmit- ted ...medical treatment, we propose the addition of an extra com- partment, denoted M , where those infected with the diseases but under ... See full document

... the optimal values for the fractional order SIRS-α and SEIRS-α models with the standard SIRS and SEIRS, one concludes that the absolute error of the fractional SIRS-α model reduces more than the ... See full document

... input-output model), which is suitable for considering the cyclical nature of macroeconomic ...the model and real ones, as well as to predict of the fluctuation properties of a dynamical system for the next ... See full document

... discontinuous control algo- rithms, known as variable structure control (Utkin, 1978; Young et ...surface, with T denoting a sampling time, which could induce a chattering, mani- fested by ... See full document

... lethality of crime increases with the number of guns stolen from lawful citizens, consistent.. with the empirical evidence that the frequency of robberies committed with guns increases.[r] ... See full document

... This function measures the proportional variation in the number of infectious individuals after the application of the control u ∗ , by comparing the number of infected individuals at ti[r] ... See full document

... ment with general experience in vaccination, where it is well recognized the impossibility to vaccinate all popu- ...ematical model and the meaning of the parameters, we refer the reader to the work of ... See full document

... We mainly consider here (like in the rest of the thesis) minimum time and minimum energy problems. Those, we describe below in section 1 and 2. Keeping in mind that our aim is to solve numerically the OCP, the question ... See full document

... of an optimal control problem. The model takes into account the evapotranspiration, percolation and ...the control is the amount of water introduced in the soil via its irrigation sys- ... See full document

... to guarantee that we start at a feasible state and that the maximum flow of incoming water is sufficient to satisfy the needs of the crop throughout the year. We show that in these conditions, we can also guarantee the ... See full document

... AIDS, the acquired immunodeficiency syndrome is a fatal disease caused by a retrovirus known as the human immunodeficiency virus (HIV) which breaks down the body's immune system, leaving the victim vulnerable to a host ... See full document

... Abstract: In this paper we derive necessary conditions for a simple class of mixed constrained optimal control problems that do not satisfy known regularity conditions on the mixed constraints. Such ... See full document