An epidemic cholera model with control treatment and intervention

Abstract

The mathematical modelling and dynamics optimization of cholera disease spread are discussed. The proposed SEIQR (Susceptible-Educated-Infected-Quarantined-Recovered) type model takes into account the bacterial concentration of the cholera spread dynamics. Three controls are considered to minimize the spread of cholera which are the treatment of quarantined populations and intervention efforts as a strategy in preventing the spread of disease through improved sanitation and education. Furthermore, the dynamics optimization problem is solved using the Pontryagin Minimum Principle method. The purpose is to decrease the populations of infected human populations and bacterial populations while minimizing the costs incurred for sanitation, educational and quarantine improvement. Numerical results are presented to show that the three controls can effectifely minimize the spread of cholera.

Optimal Control on Cholera Disease Spreading Model With Three Variables Control Variation

“…The mathematical model used in this paper is based on Subchan, et al, [4]. The model is built by human population and bacterial population with SEIIQRB type (Susceptible, Educated, Infected Asymptomatic, Infected Symptomatic, Quarantined, Recovered, Bacteria) and does not consider age and…”

“…The means of spreading cholera are through unhygienic food or drinks contaminated with V. cholerae bacteria. Severe diarrhea, vomiting, and leg cramps are the most common cholera symptoms, and if not treated immediately can lead to severe illness, such as collapse, and death [4].…”

“…Then from the four controls, a dynamic system variation containing three controls was formed and the results were compared to find which one was more effective. The model in this paper reconstructs the model that has been developed by Subchan, et al, [4], [9]. The first model contains optimal control of sanitation improvements, quarantine treatment, and increased education.…”

Is fractional-order chaos theory the new tool to model chaotic pandemics as Covid-19?

“…Cholera quickly spreads in densely populated areas with poor water sanitation. The prime symptoms of infection are severe watery diarrhoea, vomiting, body ache, fall in blood pressure, kidney failure, and if untreated may lead to death within 24 h [ 73 ].…”

Computational modeling of human papillomavirus with impulsive vaccination

“…Several authors have used mathematical modeling to investigate the dynamics of infectious diseases using continuous vaccination and have found vaccination an efficient implementation in reducing the spread of the disease [4][5][6][7]. We know, however, that continuous vaccination is not realistic in reality living, and the control steps are only employed in the specific moment.…”