Pongsumpun, Puntani

Preferred name

Pongsumpun, Puntani

Alternative Name

Pongsumpun, P.

Main Affiliation

School of Science

puntani.po@kmitl.ac.th

Now showing 1 - 10 of 24

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Local and global stability analysis of dengue disease with vaccination and optimal control
(2021-10-01)
Chamnan, Anusit
;
Pongsumpun, Puntani
;
Tang, I. Ming
;
Wongvanich, Napasool
Dengue fever is a disease that has spread all over the world, including Thailand. Dengue is caused by a virus and there are four distinct serotypes of the virus that cause dengue DENV‐1, DENV‐2, DENV‐3, and DENV‐4. The dengue viruses are transmitted by two species of the Aedes mosquitoes, the Aedes aegypti, and the Aedes albopictus. Currently, the dengue vaccine used in Thailand is chimeric yellow tetravalent dengue (CYD‐TDV). This research presents optimal control which studies the vaccination only in individuals with a documented past dengue infection (seropositive), regardless of the serotypes of infection causing the initial infection by the disease. The analysis of dengue transmission model is used to establish the local asymptotically stabilities. The property of symmetry in the Lyapunov function an import role in achieving this global asymptotically stabilities. The optimal control systems are shown in numerical solutions and conclusions. The result shows that the control resulted in a significant reduction in the number of infected humans and infected vectors.
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A modified optimal control for the mathematical model of dengue virus with vaccination
(2023-01-01)
Pongsumpun, Puntipa
;
Lamwong, Jiraporn
;
Tang, I. Ming
;
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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Dynamics of a new strain of the H1N1 influenza a virus incorporating the effects of repetitive contacts
(2014-01-01)
Pongsumpun, Puntani
;
Tang, I. Ming
The respiratory disease caused by the Influenza A Virus is occurring worldwide. The transmission for new strain of the H1N1 Influenza A virus is studied by formulating a SEIQR (susceptible, exposed, infected, quarantine, and recovered) model to describe its spread. In the present model, we have assumed that a fraction of the infected population will die from the disease. This changes the mathematical equations governing the transmission. The effect of repetitive contact is also included in the model. Analysis of the model by using standard dynamical modeling method is given. Conditions for the stability of equilibrium state are given. Numerical solutions are presented for different values of parameters. It is found that increasing the amount of repetitive contacts leads to a decrease in the peak numbers of exposed and infectious humans. A stability analysis shows that the solutions are robust. © 2014 Puntani Pongsumpun and I-Ming Tang.
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Mathematical modeling and optimal control of the hand foot mouth disease affected by regional residency in Thailand
(2021-11-01)
Wongvanich, Napasool
;
Tang, I. Ming
;
Dubois, Marc Antoine
;
Pongsumpun, Puntani
Hand, foot and mouth disease (HFMD) is a virulent disease most commonly found in East and Southeast Asia. Symptoms include ulcers or sores, inside or around the mouth. In this research, we formulate the dynamic model of HFMD by using the SEIQR model. We separated the infection episodes where there is a higher outbreak and a lower outbreak of the disease associated with regional residency, with the higher level of outbreak occurring in the urban region, and a lower outbreak level occurring in the rural region. We developed two different optimal control programs for the types of outbreaks. Optimal Control Policy 1 (OPC1) is limited to the use of treatment only, whereas Optimal Control Policy 2 (OPC2) includes vaccination along with the treatment. The Pontryagin’s maximum principle is used to establish the necessary and optimal conditions for the two policies. Numerical solutions are presented along with numerical sensitivity analyses of the required control efforts needed as the control parameters are changed. Results show that the time t<inf>max</inf> required for the optimal control effort to stay at the maximum amount u<inf>max</inf> exhibits an intrinsic logarithmic relationship with respect to the control parameters.
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Effect of Rainfall for the Dynamical Transmission Model of the Dengue Disease in Thailand
(2017-01-01)
Chanprasopchai, Pratchaya
;
Pongsumpun, Puntani
;
Tang, I. Ming
The SEIR (Susceptible-Exposed-Infected-Recovered) model is used to describe the transmission of dengue virus. The main contribution is determining the role of the rainfall in Thailand in the model. The transmission of dengue disease is assumed to depend on the nature of the rainfall in Thailand. We analyze the dynamic transmission of dengue disease. The stability of the solution of the model is analyzed. It is investigated by using the Routh-Hurwitz criteria. We find two equilibrium states: a disease-free state and an endemic equilibrium state. The basic reproductive number (R0) is obtained, which indicates the stability of each equilibrium state. Numerical results taking into account the rainfall are obtained and they are seen to correspond to the analytical results.
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Analysis of model for menstrual cycle with the effect of body mass index
(2014-01-01)
Mumtong, W.
;
Pongsumpun, P.
;
Tang, I. Ming
Menstrual cycle is the tissue that peeled off from the lining of the uterus. It is caused by changes in female hormones associated with ovulation. Obesity often affects the balance of estrogen hormone, hormone for ovulation control that may cause menstrual abnormalities. If there is no ovulation, then there would be no menstruation occurs. This article has examined the above factors that affect the balance of hormones on the control of the ovulation cycle.
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The role of a vaccine booster for a fractional order model of the dynamic of COVID-19: a case study in Thailand
(2025-12-01)
Pongsumpun, Puntipa
;
Pongsumpun, Puntani
;
Tang, I. Ming
;
Lamwong, Jiraporn
This article addresses the critical need for understanding the dynamics of COVID-19 transmission and the role of booster vaccinations in managing the pandemic. Despite widespread vaccination efforts, the emergence of new variants and the waning of immunity over time necessitate more effective strategies. A fractional-order mathematical model using Caputo-Fabrizio derivatives was developed to analyze the impact of booster doses, symptomatic and asymptomatic infections, and quarantine measures. The model incorporates real epidemic data from Thailand and includes a sensitivity analysis of parameters influencing disease spread. Numerical results indicate that booster vaccinations significantly reduce transmission rates, and the model’s predictions align well with the observed data. The basic reproduction number was determined to evaluate disease control, showing that a sustained vaccination campaign, including booster doses, is essential to maintaining immunity and controlling future outbreaks. The findings underscore the importance of ongoing vaccination efforts and provide a robust framework for policymakers to design effective strategies for pandemic control.
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Contact infection spread in an SEIR model: An analytical approach
(2013-01-01)
Pongsumpun, Puntani
;
Kongnuy, Rujira
;
López, Diana García
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Tang, I. Ming
;
Dubois, Marc A.
The epidemic spread of an SEIR (susceptible-exposed-infectious-recovered) model is analysed via a contact infection process. We solve the system of nonlinear partial differential equations by using the method of separation of variables. Approximate analytical expressions for the propagating infection wave for various ranges of parameters are presented.
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Studying menstrual cycle by using mathematical model
(2014-01-01)
Mumtong, W.
;
Pongsumpun, P.
;
Tang, I. Ming
Menstrual cycle can occur in fertile women. It is the scientific term for the physiological changes in human. It is under controlling of the endocrine system that is necessary for reproduction. It is commonly divided into three phases: the follicular phase, ovulation, and the luteal phase. Activin enhances Follicular Stimulating Hormone (FSH) biosynthesis and secretion. It participates in the regulation of menstrual cycle. In this study, we analyze a mathematical model of the human menstrual cycle. The equilibrium point of the model and its stability are shown. Numerical solutions are shown to support the theoretical predictions. © 2014 Pushpa Publishing House, Allahabad, India.
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SIR Model for Dengue Disease with Effect of Dengue Vaccination
(2018-01-01)
Chanprasopchai, Pratchaya
;
Tang, I. Ming
;
Pongsumpun, Puntani
The dengue disease is caused by dengue virus, and there is no specific treatment. The medical care by experienced physicians and nurses will save life and will lower the mortality rate. A dengue vaccine to control the disease is available in Thailand since late 2016. A mathematical model would be an important way to analyze the effects of the vaccination on the transmission of the disease. We have formulated an SIR (susceptible-infected-recovered) model of the transmission of the disease which includes the effect of vaccination and used standard dynamical modelling methods to analyze the effects. The equilibrium states and their stabilities are investigated. The trajectories of the numerical solutions plotted into the 2D planes and 3D spaces are presented. The main contribution is determining the role of dengue vaccination in the model. From the analysis, we find that there is a significant reduction in the total hospitalization time needed to treat the illness.

Pongsumpun, Puntani

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