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Journal : International Journal of Computing Science and Applied Mathematics-IJCSAM

Optimizing Forest Sampling by using Lagrange Multipliers Suhud Wahyudi; Farida Agustini Widjajati; Dea Oktavianti
(IJCSAM) International Journal of Computing Science and Applied Mathematics Vol. 3 No. 2 (2017)
Publisher : LPPM Institut Teknologi Sepuluh Nopember

Show Abstract | Download Original | Original Source | Check in Google Scholar

Abstract

To obtain information from a population, we use a sampling method. One of sampling techniques that we can use is double sampling. Double sampling is a sampling technique based on the information of first phase which is used as an additional information obtaining estimates for the second phase. In this case, we discuss the model of double sampling with regression estimator. Then, to obtain the optimal number of samples for the first and second phases, we use Lagrange multipliers. The model analysis result is a formula to calculate the optimal number of samples for the first phase (n0) and the second phase (n1). Implementation of this method is simulated by using teak stands data from previous studies at Forest Management Unit (FMU) Madiun which consists of Section Forest Management Units (FSMU) Dagangan and Dungus. The calculation result of data from FSMU Dagangan, we get optimal number of plots must be observed in image interpretation are 149 plots and field survey are 14 plots. And with the data from FSMU Dungus, we get optimal number of plots to be observed in image interpretation are 153 plots and field survey are 20 plots.
Design of Monkeypox Virus Spread Control in Humans Using Pontryagin Minimum Principle Lukman Hanafi; Mardlijah Mardlijah; Daryono Budi Utomo; Suhud Wahyudi; Alya Nur Sha-brina
(IJCSAM) International Journal of Computing Science and Applied Mathematics Vol. 10 No. 2 (2024)
Publisher : LPPM Institut Teknologi Sepuluh Nopember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.12962/j24775401.ijcsam.v10i2.4582

Abstract

Monkeypox is a contagious disease caused by a virus. In Africa, monkeypox results in death in 1 out of 10 infected individuals. The Food and Drug Administration in the United States recommends vaccination as a preventive measure against monkeypox virus. If infected, the World Health Organization (WHO) advises quarantine to prevent further transmission to others. This research develops a mathematical model known as SIR (Susceptible-Infected-Recovered) for the spread of monkeypox virus, incorporating vaccination and quarantine as control measures. The SIR model utilized is based on an existing model and follows the conditions of monkeypox spread in Nigeria, represented as a system of nonlinear differential equations. Optimal control is determined using the Pontryagin Minimum Principle and simulated using the fourth-order forward-backward sweep Runge-Kutta method to assess the level of monkeypox infection before and after implementing control measures. Based on the simulation results, it is concluded that the application of control measures can reduce the population of infected monkeys by 70% and infected humans by 59%.