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Journal of Mathematical and Fundamental Sciences Vol. 53 Issue 2 2021

Vol. 53 No. 2 (2021)

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Explore peer-reviewed research articles published in this issue.

researchpp. 166–181

Analysis of SIS-SI Stochastic Model with CTMC on the Spread of Malaria Disease

Various mathematical models have been developed to describe the transmission of malaria disease. The purpose of this study was to modify an existing mathematical model of malaria disease by using a CTMC stochastic model. The investigation focused on the transition probability, the basic reproduction number (R0), the outbreak probability, the expected time required to reach a disease-free equilibrium, and the quasi-stationary probability distribution. The population system will experience disease outbreak if R0>1, whereas an outbreak will not occur in the population system if R0≤1. The…

Keywords
basic reproduction number expected time to reach disease-free equilibrium malaria disease outbreak probability quasi-stationary distribution
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researchpp. 182–199

A Study on Characteristics and Comparison of Evaporation Estimation Methods in Bandung

This study aims to understand the characteristic of evaporation and to evaluate the evaporation estimation methods to be employed in Bandung by using observation data at three different land cover characteristics sites, namely, densely vegetated area (Baleendah), densely built-up area (Ujung Berung), and mix of buildings and vegetation area (ITB). Observation data used are hourly evaporation, vapour pressure deficit, temperature, relative humidity, wind speed, and radiation. The analysis was done mostly by using statistical methods such as regression analysis and error comparison. The result…

Keywords
CIMIS-Penman estimation model evaporation observation Schendel Trabert Turc
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researchpp. 200–2017

Optimal Control Problem for Cholera Disease and Cost-Effectiveness Analysis

Cholera is a disease that continues to be a threat to public health globally and is an indicator of inequity and lack of social development in countries. For this reason, strategies for its control need to be investigated. In this work, an optimal control problem related to cholera disease was formulated by introducing personal protection, drug treatment and water sanitation as control strategies. First, the existence and characterization of controls to minimize the performance index or cost function was proved by using classic control theory. Then, the theoretical results were validated with…

Keywords
control campaign drug treatment personal protection Vibrio cholerae water sanitation
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researchpp. 218–230

Docking Studies and Molecular Dynamics Simulation of Compounds Contained in Kaempferia Galanga L. to Lipoxygenase (LOX) for Anti-Inflammatory Drugs

Inflammation is a self-protective response to start the healing process. An anti-inflammatory target worth developing are lipoxygenase inhibitors, which have been studied for several diseases, including severe respiratory disease. This research had the goals of estimating the activity of 21 compounds from K. galanga to inhibit the lipoxygenase (LOX) and estimating the bond stability of the ligand-LOX complex. Based on the compound’s affinity for LOX, the compounds in K. galanga were selected by utilizing the PLANTS docking software, with zileuton as the reference ligand. The GROMACS…

Keywords
anti-inflammatory docking Kaempferia galanga L lipoxygenase molecular dynamics
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researchpp. 231–242

Isolation and Antibacterial Properties of Phenyl Acrylic Acid Derivatives from Balanophora elongata Blume

Balanophora elongata (Balanophoraceae) is a tropical parasitic flowering plant 9 cm in height. Four known phenyl acrylic acid derivatives, methyl caffeate (1), caffeic acid (2), 1,6-di-O-caffeoyl-β-D-glucopyranose (3), and coniferin (4), were isolated from this plant. Structural elucidation of the isolated compounds was determined by IR, LC-ESI-MS, 1D and 2D NMR. Extracts and isolated compounds were tested toward some standard human pathogenic bacteria using the agar disk diffusion method. Their inhibition zones were compared to that of chloramphenicol as positive control. Compound 1 showed…

Keywords
antibacterial properties Balanophora elongata Balanophoraceae isolation parasitic plant Sumatran Balanophora
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researchpp. 243–260

The Role of Non-pharmacological Interventions on the Dynamics of Schistosomiasis

Schistosomiasis is a neglected tropical disease affecting communities surrounded by water bodies where fishing activities take place or people go to swim, wash and cultivate crops. It poses a great risk to the health and economic life of inhabitants of the area. This study was carried out to evaluate the impact of public health education and snail control measures on the incidence of schistosomiasis. A model was developed with attention given to the snail and human populations that are the hosts of the cercariae and miracidia respectively. The existence and stability of disease-free and…

Keywords
basic reproduction number cercariae miracidia public health education schistosomiasis snail control
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researchpp. 261–285

Modeling the Phenomenon of Xenophobia in Africa

In this study, we applied the principle of a competitive predator-prey system to propose a prey-predator-like model of xenophobia in Africa. The boundedness of the solution, the existence and stability of equilibrium states of the xenophobic model are discussed accordingly. As a special case, the coexistence state was found to be locally and globally stable based on the parametric conditions of effective group defense and anti-xenophobic policy implementation. The system was further analyzed by Sotomayor’s theory to show that each equilibrium point bifurcates transcritically. However,…

Keywords
Boundedness Global stability Local bifurcation Xenophobes Xenophobic-mathematical model
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researchpp. 285–304

Basin-scale Paleoecology: Using Semi-quantitative Analysis of the Ichnofabric within Kutai Basin (Indonesia)

Ichnofossils are still not used in paleoecological studies, even though they are a valuable proxy for paleoecology. This study focused on a semi-quantitative approach to a number of ichnofabric variables, i.e. ichnofossil association, bioturbation index (BI), ichnodiversity (ID), number of behaviors (NB), penetration depth (PD), and burrow diameter (DM). It was proved that the scores of those variables were low to medium because of the paleoecological fluvial-marine transition depositional processes in the Serravallian-Tortonian interval in Kutai Basin, Indonesia. This paper contributes an…

Keywords
behavior bioturbation brackish diameter ichnodiversity penetration depth
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researchpp. 305–322

Delay Time Parameter and Its Confidence Interval of Predictive Time Series of COVID-19 Outbreak Between the First and the Second Wave

The outbreak of coronavirus disease 2019 (COVID-19) has become a major problem facing humans all around the world. For governments, in order to deal with the outbreak and protect the population, it is important to predict the number of infectious cases in the future to monitor the COVID-19 situation. This research aimed to compare the effectiveness of the logistic and the delay logistic time series in predicting the total number of infectious cases by using actual data from four countries, i.e. Thailand, South Korea, Egypt, and Nigeria. The total number of COVID-19 cases was collected during…

Keywords
confidence interval Coronavirus disease 2019 delay logistic time series logistic time series
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