Optimal control of diarrhea transmission in a flood evacuation zone

Erwina, Novry; Aldila, Dipo; Soewono, Edy

doi:10.1063/1.4868847

Cited by 3 publications

(1 citation statement)

References 1 publication

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“…We update the control variables using (5) and iterate this scheme until the convergence criteria achieved. Please see [8,20,21,[24][25][26][27][28] for more example on the implementation of this scheme.…”

Section: Numerical Experimentsmentioning

confidence: 99%

Optimal control problem on COVID-19 disease transmission model considering medical mask, disinfectants and media campaign

Aldila

2020

E3S Web Conf.

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In this paper, a system of ordinary differential equation approach is developed to understand the spread of COVID-19. We first formulate the dynamic model by dividing the human population based on their health status, awareness status, and also including the free virus on the environment. We provide a basic analysis of the model regarding the well-posed properties and how the basic reproduction number can be used to determine the final state of COVID-19 in the population. A Pontryagin Maximum’s Principle used to construct the model as an optimal control problem in a purpose to determine the most effective strategies against the spread of COVID-19. Three control strategies involved in the model, such as media campaign to develop an awareness of individuals, medical masks to prevent direct transmission, and use of disinfectant to reduce the number of free virus in the environment. Through numerical simulations, we find that the time-dependent control succeeds in reducing the outbreak of COVID-19. Furthermore, if the intervention should be implemented as a single intervention, then the media campaign gives the most effective cost strategy.

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Section: Numerical Experimentsmentioning

confidence: 99%

Optimal control problem on COVID-19 disease transmission model considering medical mask, disinfectants and media campaign

Aldila

2020

E3S Web Conf.

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Classical and contemporary fractional operators for modeling diarrhea transmission dynamics under real statistical data

Qureshi

Bonyah

2019

Physica A: Statistical Mechanics and its Applications

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Modelling the Impact of Hygiene and Treatment on the Dynamics of Childhood Diarrhea in Nairobi County, Kenya

Njenga,

Ngari,

Nduku

et al. 2024

International Journal of Mathematics and Mathematical Sciences

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The morbidity of children under five years due to diarrhea is very prevalent in Nairobi County. Mathematical models can be used to study the dynamics of infections and suggest possible control strategies in the process. In this study, a deterministic model has been developed to investigate the impact of hygiene and treatment as control strategies, on the dynamics of diarrhea in children under five years of age in Nairobi County. In the analysis of the model, it was shown that the disease‐free equilibrium of the model was locally and globally asymptotically stable if the effective reproduction number was less than unity, while the endemic equilibrium point was locally and globally asymptotically stable if the effective reproduction number was greater than unity. From the sensitivity analysis of the effective reproduction number, it was observed that the sensitivity indices of the effective contact rate, the fraction of children joining the infected classes and modification parameters, are positive, while the indices of the rate of being born five years ago, hygiene compliance, natural death rate, rate of gaining symptoms, death rates due to diarrhea, treatment rates for infected children, recovery rates for treated children, and discharge rate are negative. From scenario simulations of the model, it was observed that when hygiene compliance strategy is increased, the disease is decreased and when it is equal to one, that is, when it is fully embraced, the disease is completely eradicated. It was observed that by increasing the treatment rate for mildly infected and treatment rate for severely infected children, the disease is controlled. It was lastly found that by increasing both the treatment rate for mildly infected children and hygiene compliance, the disease dies out and by increasing both the treatment rate for severely infected children and hygiene compliance, the disease is also eradicated completely. From the results, it was noted that by increasing hygiene compliance, the disease is completely wiped out as compared to treatment. It was also noted that for the two strategies combined, the disease is wiped out after 20 days if increased, while for the hygiene compliance strategy alone, the disease is wiped out after 40 days if fully embraced. Thus, it was concluded that both hygiene compliance and treatment are the best control strategies if fully embraced for the complete eradication of the disease within a shorter period of time.

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Optimal control of diarrhea transmission in a flood evacuation zone

Cited by 3 publications

References 1 publication

Optimal control problem on COVID-19 disease transmission model considering medical mask, disinfectants and media campaign

Optimal control problem on COVID-19 disease transmission model considering medical mask, disinfectants and media campaign

Classical and contemporary fractional operators for modeling diarrhea transmission dynamics under real statistical data

Modelling the Impact of Hygiene and Treatment on the Dynamics of Childhood Diarrhea in Nairobi County, Kenya

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