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Dengue Disease Transmission Model in the Central and the Other Regions in Thailand
(2025-10-06)
Pongsumpun, Puntani
The disease has occurred between Aedes mosquitoes and people, called as dengue disease. The transmission of this disease between the central region and the other regions are different. We formulated the mathematical model for this disease by considering human and vector populations. Human is separated as Susceptible, infectious, and recovered population. The vector population is divided into susceptible and infectious population. We considered the spread of dengue disease in two regions. The mathematical model is analyzed. The steady states are found in the study. The condition for the stability of our steady states is determined from experiments. The numerical solutions are present in the study. The way for controlling dengue transmission is identified and possible solutions are discussed.
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Mathematical model of DF and DHF cases in dengue infection
(2025-10-06)
Pongsumpun, Puntani
Dengue disease is contacted to people by biting of infected Aedes aegypti mosquitoes. The dengue infectious person is separated into dengue fever, dengue hemorrhagic fever and dengue shock syndrome. This study formulates the mathematical model that can be described the transmission of dengue disease. The standard dynamical modelling method is used for analysis our model. The parameters are found for reducing the transmission of dengue disease. The transmission rates of dengue virus, the rate of change from dengue fever to dengue hemorrhagic fever and the recovery rate are influence to the transmission of dengue disease.
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A Zero-dimensional Mathematical Model of PM2.5 Measurement due to Daily Vehicle Density in Bangkok
(2025-05-01)
Khum-Un, Seree
;
Pochai, Nopparat
Air pollution, particularly particulate matter smaller than 2.5 microns (PM2.5), has grown to be a serious issue that has an impact on people's health, especially the respiratory system. There are several studies that have found that the level of PM2.5 in the Bangkok region is high, as is how it affects individuals with respiratory illnesses. In this research, a numerical simulation of PM2.5 concentration was performed using a zero-dimensional model of PM2.5 measurement due to the daily vehicle density in Bangkok. It is evident that the wind speed and daily vehicle density have an impact on the simulated PM2.5 concentration in Bangkok. The daily density of vehicles greatly influences PM2.5 emissions. Wind speed was measured in this experiment. The hourly vehicle density in Bangkok, which was represented by calculating functions for wind speed and PM2.5 emission rate, is what produces the computed PM2.5 emission rate. The simulation includes three 24-hour scenarios: low vehicle density with medium wind speed, high vehicle density with low wind speed, and medium vehicle density with high wind speed. All of the models indicated that the PM2.5 level would drop as wind speed increased and vehicle density decreased. The daily vehicle density and wind speed are two factors that affect the PM2.5 level. Focusing, especially on wind speed, will not always lead to PM2.5 reductions. However, daily vehicle density also has a significant role in PM2.5 management. Wind speed and vehicle density influence PM2.5 concentrations, with three scenarios demonstrating that higher wind speed and lower vehicle density reduce PM2.5 levels. While wind speed helps to reduce PM2.5 levels, vehicle density also has a substantial impact on emissions. Managing PM2.5 requires addressing both daily vehicle density and wind speed, as focusing on only wind speed may not always result in reductions.
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A Shoreline Evolution Model with Wave Crest Model on I-Head and T-Head Groin Structures with Different Types of Breaking Wave
(2024-06-01)
Unyapoti, Pidok
;
Pochai, Nopparat
Beach erosion is a process that results in changes to the materials of a shoreline, with erosion being the removal of material from the shoreline more than its addition. Beach erosion on the shorelines causes loss of landforms and a reduction in size, leading to the need for the development of various structures to mitigate beach erosion. Groin is one of the commonly utilized structures for coastal erosion prevention, and groins of various shapes and forms have been developed to minimize beach erosion to the greatest extent possible. We have focused on assessing the impacts of I-head and T-head groin structures on shoreline evolution, approximated through a shoreline evolution model. Various techniques for setting initial conditions and boundary conditions have been discussed. Additionally, we have explored the structural impacts of these two groin types. We considered the average wave crest impact angle obtained from a wave crest impact model on both the left and right sides of the shoreline, differing over a span of four wavelengths. To estimate shoreline evolution for each year, we employed traditional forward time-centered space techniques and the unconditionally stable Saulyev finite differential techniques. The results of shoreline evolution calculations for both groin structures were found to be consistent across the four cases of the wave crest impact model.
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An Unconditionally Stable Explicit Finite Difference Method for a Non-Dimensional Mathematical Model of Shoreline Evolution with a Twin Groins Structure
(2024-02-01)
Manilam, Surasak
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Pochai, Nopparat
The development of a more effective model and the prediction of trends in shorelines were the two goals of this study. For simulations of shoreline evolution utilizing the straight twin groin structure, we used two mathematical models. A one-dimensional evolution model makes up the initial model. The first model is transformed into a non-dimensional evolution model in the second model. We propose a method for transforming one-dimensional models into non-dimensional models, that involves creating initial and boundary conditions for each model. The forward time centered space (FTCS) technique and the Saulyev finite difference technique were applied to approximately represent shoreline evolution each year. Their simulation results demonstrate that when the engineering structure was built on the nearby shorelines, shoreline evolution accelerated annually. As the Saulyev finite difference technique is not restricted by the stability conditions, it produces better simulations.
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Modeling and optimization of moisture diffusion of paddy and brown rice during thermal soaking
(2023-04-01)
Rattanamechaiskul, Chaiwat
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Junka, Nittaya
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Prakotmak, Preeda
In this study, a method involving soaking paddy and brown rice in hot water at different durations and temperatures is investigated. Data are acquired to develop a mathematical model to determine the most appropriate soaking conditions through simulation. Results show that higher soaking temperature at 60 °C yield higher moisture diffusion than lower temperature at 40 °C. The soaking times of paddy until the final moisture was attained at temperatures of 40 °C, 50 °C, and 60 °C were 10, 8, and 6 h, respectively. The dehusking process from paddy to brown rice can decrease soaking time to 7, 5, and 3 h, respectively, compared with that of paddy at the same temperature. The mathematical modeling can reveal the diffusion mechanism inside the grain and accurately predict the suitable soaking condition by brown rice at soaking temperature of 60 °C for 1.5 h. When this condition is used, the specific energy consumption of the soaking process can be reduced to 0.295 kWh kg<sup>−1</sup> which is the lowest value in the scope of study. After steaming by commercial process, soaked brown rice is completely generated starch gelatinization as parboiled rice. Practical applications: Soaking is one of the most important procedures in the production of parboiled rice. It requires a significant amount of time as well as affects the specific energy consumption (SEC) and product quality at the final stage. Experiment results are used to develop a mathematical model to determine the most appropriate soaking condition. The shortest time possible to achieve the appropriate grain moisture while maintaining the lowest SEC is desired. Data are acquired to devise methods for reducing the time and energy required to produce parboiled rice.
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A Combination of A Shoreline Evolution Model and A Wave Crest Model on T-Head Groin Structures With the Breaking Wave Effecf
(2023-01-01)
Unyapoti, Pidok
;
Pochai, Nopparat
Beach erosion is a naturally occurring phenomenon that occurs when the transfer of material away from the beach is not balanced by the deposit of new material on the shoreline. Beach erosion have always existed and have influenced the shoreline shape. This is a problem that contributes to the loss of shorelines. Structures invented to prevent beach erosion, such as seawalls, groins, and breakwaters. To avoid coastal erosion and sedimentation, a groin and a sea wall were constructed. Shoreline evolution analysis is being used to research the future topography of the beach. Beach erosion and beach deposition research requires a qualitative analysis of the model shoreline behavior with respect to the driving process. In this research, we focus on the effects of the T-head groin structure on shoreline evolution. The average wave crest impact is analyzed for eight sizes of T-head groin construction. An initial condition setting technique and boundary conditions techniques, as well as the structural impacts of the T-head groin, are discussed. Each year, the shoreline evolution is approximated using the traditional forward time centered space techniques and the unconditionally stable Saulyev finite differential techniques. The calculated impacts of shoreline evolution for eight different T-head groin sizes were consistent with the wave crest impact model.
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A modified optimal control for the mathematical model of dengue virus with vaccination
(2023-01-01)
Pongsumpun, Puntipa
;
Lamwong, Jiraporn
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Tang, I. Ming
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Pongsumpun, Puntani
The dengue viruses (of which there are four strains) are the causes of three illnesses of increasing severity; dengue fever (DF), dengue hemorrhagic fever (DHF) and dengue shock syndrome (DSS). Recently, dengue fever has reached epidemic proportion in several countries. Strategies or preventative methods have to be developed to combat these epidemics. This can be done by development of vaccines or by preventing the transmission of the virus. The latter approach could involve the use of mosquito nets or insecticide spraying. To determine which strategy would work, we test the strategy using mathematical modeling to simulate the effects of the strategy on the dynamics of the transmission. We have chosen the Susceptible-Exposed-Infected-Recovered (SEIR) model and the Susceptible, Exposed-Infected (SEI) model to describe the human and mosquito populations, repectively. We use the Pontryagin’s maximum principle to find the optimal control conditions. A sensitivity analysis revealed that the transmission rate (ɣ<inf>ℎ</inf>, ɣ<inf>v</inf>), the birth rate of human population (µ<inf>ℎ</inf>), the constant recruitment rate of the vector population (A) and the total human population (N<inf>ℎ</inf>) are the most influential factors affecting the disease transmission. Numerical simulations show that the optimal controlled infective responses, when implemented, cause the convergence to zero to be faster than that in uncontrolled cases.
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Mathematical model for Chikungunya disease with two types of Aedes mosquitoes
(2022-04-28)
Pongsumpun, Puntipa
;
Pongsumpun, Puntani
Chikungunya disease is occurred when the infected Aedes mosquitoes bite. Chikungunya virus is a member of the genus Alphavirus family Togaviridae. There are 2 species of Aedes mosquitoes such as Aedes aegypti and Aedes albopictus. We describe the transmission of the disease by using mathematical model. We separated the populations to human and vector populations. We separate the human population to susceptible, infectious and recovered populations. The mosquitoes are separated into susceptible and infectious populations. Then we analyze the model by using standard dynamical analysis. The numerical solutions are shown to see the stability of each equilibrium state. The variances of each parameter are shown to see the behavior of each population. The basic reproduction number of this disease is shown to reduce the transmission of this disease.
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Mathematical Model for an Autonomous Vehicle to Fulfill the Closed Area
(2022-01-01)
Namngam, Kampanat
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Chitsakul, Pakkinee
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Satthamsakul, Sutham
This research presents the mathematical model to roam an autonomous vehicle in a closed region with minor coincident areas. This model is Blind Algorithm, no literature that concern on mathematical model. It is essential for agricultural technology, for example, shoveling soil for planting, spraying liquid fertilizer, harvesting agricultural products, to control the movement of the vehicle with the redundant path is as less as possible is benefited to decrease the working hours and also the burning oil and more for cost-saving without any expensive hardware. The almost wholly filled farmland depends on the shape, the size of the area, and the vehicle dimension.

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