6 Citations (Scopus)

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.

Original languageEnglish
Article number012046
JournalJournal of Physics: Conference Series
Volume1218
Issue number1
DOIs
Publication statusPublished - 31 May 2019
Event3rd International Conference on Mathematics; Pure, Applied and Computation, ICoMPAC 2018 - Surabaya, Indonesia
Duration: 20 Oct 2018 → …

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