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 86

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The dynamical model of dengue vertical transmission
(2017-01-01)
Pongsumpun, Puntani
Dengue disease is usually found in many parts of the world, including Africa, Asia, South America and Australia. Dengue disease can pass from one individual to another by two distinct mechanisms such as horizontal transmission and vertical transmission. In horizontal transmission, susceptible individuals can be infected by direct or indirect contacts with infectious individuals who are stays at the same time. Vertical transmission means to direct transmission from infected parents to their offspring before or during birth. In this study, the dynamical model of dengue disease was formulated by considering the vertical transmission in Aedes mosquitoes. The analysis of our model was given. The results of this study should introduce the alternative ways to reduce the dengue outbreak.
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Mathematical model for the transmission of two plasmodium malaria
(2011-03-01)
Pongsumpun, P.
Malaria is transmitted to the human by biting of infected Anopheles mosquitoes. This disease is a serious, acute and chronic relapsing infection to humans. Fever, nausea, vomiting, back pain, increased sweating anemia and splenomegaly (enlargement of the spleen) are the symptoms of the patients who infected with this disease. It is caused by the multiplication of protozoa parasite of the genus Plasmodium. Plasmodium falciparum, Plasmodium vivax, Plasmodium malariae and Plasmodium ovale are the four types of Plasmodium malaria. A mathematical model for the transmission of Plasmodium Malaria is developed in which the human and vector population are divided into two classes, the susceptible and the infectious classes. In this paper, we formulate the dynamical model of Plasmodium falciparum and Plasmodium vivax malaria. The standard dynamical analysis is used for analyzing the behavior for the transmission of this disease. The Threshold condition is found and numerical results are shown to confirm the analytical results.
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Fractional-order Modeling and Optimal Control of Dengue-Malaria Co-infection with Local and Advanced Treatment Strategies
(2026-01-01)
Pongsumpun, Puntipa
;
Ud Din, Rahim
;
Ullah, Atta
;
Pongsumpun, Puntani
Abstract: This study presents a novel fractional-order co-infection model describing the joint transmission dynamics of dengue and malaria using the generalized fractional derivative. The total human population is divided into eight epidemiological compartments that account for single infections, co-infection, treatment stages, and recovery. The proposed framework incorporates memory effects and nonlocal behavior, offering a more realistic representation of disease progression compared to classical integer-order models. Local and advanced treatment strategies are introduced based on infection severity, allowing targeted intervention for both mild and co-infected cases. The fundamental mathematical properties of the model, including positivity, boundedness, existence, and uniqueness of solutions, are rigorously established. The basic reproduction number is derived, and both local and global stability of the disease-free equilibrium are analyzed using suitable Lyapunov functions. A statistical sensitivity analysis is performed to identify key parameters influencing disease transmission. Furthermore, optimal control strategies are formulated to minimize co-infection prevalence while reducing treatment and implementation costs. Numerical simulations validate the theoretical findings and demonstrate that fractional-order dynamics provide deeper insights into long-term disease behavior. The results offer valuable guidance for policymakers in designing effective and cost-efficient strategies to control dengue and malaria co-infection. Graphic Abstract: (Figure presented.) The
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Stability and oscillations of time-delayed model for the testosterone regulation
(2013-11-04)
Tanutpanit, T.
;
Pongsumpun, P.
;
Tang, I. M.
In this paper, we develop the mathematical model with a time delay to describe the feedback mechanisms concerning of cyclicity of the male hormonal balance on the influence of variations in the sex hormone-binding globulin (SHBG) concentration. We show that a Hopf bifurcation occurs when a time delay τ passes through a critical value. Numerical simulations are performed to illustrate the analytical results. Moreover, this model can explain the pulsatile secretion of hormones in male.
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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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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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Malaria transmission model of juvenile and adult humans
(2011-12-01)
Pongsumpun, Puntani
;
Mumtong, Preeyaporn
A major public health problem in Thai population is due to Malaria. This disease is caused by the multiplication of protozoa parasite of the genus Plasmodium; Plasmodium falciparum, Plasmodium vivax, Plasmodium malariae and Plasmodium ovale. Malaria is found along the border with Burma, Cambodia and Malaysia. There are the different transmission rates of this disease between Thai juvenile and adult humans. In this study, the transmission of Malaria is considered by using Mathematical model. The analysis of this model is given by method of standard dynamical modeling. The local stability conditions are shown to point the way for decreasing the outbreak of the disease. © 2011 IEEE.
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Environmental impact on the spread of dengue virus when two mosquito species circulate
(2017-01-01)
Sungchasit, Rattiya
;
Pongsumpun, Puntani
;
Ming Tang, I.
We study the environmental impact on the dengue fever epidemic when two species of mosquitoes namely the Aedes aegypti and Aedes albopictus circulate. The infected populations of the humans and of mosquito species are each divided into two groups, the being infected but not infectious and the other infected and infectious (I). A SEIR model and SEI model are developed for the human and the two mosquito populations, respectively. The dynamical behaviors of the three populations are obtained by simulating the behaviors by numerically solving the differential equations which describe the models. Changes in the trajectories when the values of the environment dependent parameters are changed reveal the influence of the environment on the spread of the dengue virus. Often the values of the parameters in the two SEI models will depend on how a particular mosquito specie interacts with the environment and so the values of the parameters will be different in the two SEI models. This makes possible that the basic production numbers of the two species (S<inf>aegypti</inf> and S<inf>albopictus</inf>) will be different giving different S<inf>i</inf>‘s which give the following combinations (S<inf>aegypti</inf> > 1, S<inf>albopictus</inf> > 1), (S<inf>aegypti</inf> > 1, S<inf>albopictus</inf> < 1), (S<inf>aegypti</inf> < 1, S<inf>albopictus</inf> > 1) and (S<inf>aegypti</inf> < 1, S<inf>albopictus</inf> < 1). When the different conditions are satisfied, nature will have both species present, only one specie present or no species present.
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Age structured model for symptomatic and asymptomatic dengue infections
(2007-12-01)
Pongsumpun, Puntani
Age structure and the emergence of symptom for dengue infection are considered in this study. The transmission model is formulated to see the transmission of this disease. The human population is separated into juvenile and adult classes but only juvenile class being susceptible to infection by the disease. Infectious juvenile human is divided into symptomatic and asymptomatic classes. The transmission probabilities of dengue virus from vector to human are difference to become symptomatic and asymptomatic classes. The standard dynamical analysis method is used for analyzing this model. The basic reproduction number is obtained. Numerical simulations are used to show these results. The alternative way for controlling this disease is discussed in the term of threshold condition.
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Sensitivity analysis of cassava mosaic disease with saturation incidence rate model
(2023-01-01)
Sangsawang, Sireepatch
;
Humphries, Usa Wannasingha
;
Khan, Amir
;
Pongsumpun, Puntani
Cassava mosaic disease (CMD) is caused by a virus transmitted by the whitefly. This disease can destroy cassava at any stage of its growth and it resulted in lower cassava yields. In this paper, we developed a mathematical model for the epidemic of cassava mosaic disease with a deterministic model which has saturation incidence rates. This model aims to explain the effect of vectors on cassava disease outbreaks. First, this model was analyzed using standard dynamic methods to determine the behavior of the solution. We found the existence and condition of disease-free and endemic steady state. The basic reproductive number (R<inf>0</inf>) is obtained by using the next-generation method which R<inf>0</inf> helps assess the ability to spread infectious diseases. Second, the stability of the steady state was analyzed, then we obtain the condition of existence of local stability and global stability at each steady state of this model. Third, analysis of the sensitivity indices in the threshold number to determine the effect of the various parameters. Finally, the results of the theoretical model were validated by numerical simulations. It is represented by various graphs converging at a steady state and stable.

Pongsumpun, Puntani

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