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Effect of vaccination in Rabies disease model
(2025-01-01)
Pongsumpun, P.
Rabies disease has occurred when the virus enters the body of a person or animal. People or animals infected with this disease have a 100 percent chance of dying. We describe the transmission of this disease by formulating the mathematical model by considering the transmission between human, dog and cat. We found the method to reduce the transmission of rabies disease. The basic reproduction number of disease is found. The parameters to reduce the transmission of disease is found.
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The transmission model of AIDS between mothers and children
(2025-01-01)
Pongsumpun, P.
Human immunodeficiency virus infection (HIV) causes Acquired Immune Deficiency Syndrome(AIDS), which currently has no treatment. The infection can be controlled. The transmission of AIDS can be described by dynamical model. We consider the contact rate between mother and children. We separated the mother and children into susceptible, exposed and infectious population. We analyze the dynamical model. The numerical solutions are presented to confirm our analytical results.
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Analysis of swine flu network model
(2016-11-01)
Pongsumpun, P.
;
Changpuek, T.
In this paper, we propose a SEIQR network model incorporating the age structure of human population for swine flu to study an epidemic network distribution. The human population is divided into three groups such as 1-10 years, 11-20 years and more than 20 years, respectively. The SEIQR network model contains people and public places, we suppose that the people move to any public places by random process. The numerical simulation of the disease transmission is presented with assumptions that there is one exposed person and one infected person in each age group at the first day. The results show the time distribution of exposed, infected and quarantined human dealing with different situations.
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Household distribution of dengue epidemic of the flooding area
(2016-01-01)
Pongsumpun, P.
Dengue disease is transmitted to human by biting of infected Aedes mosquitoes. From dengue data in Bangkok, Thailand, we found that there is the high rate of dengue cases when there is the flood in Bangkok. The movement of human and the flying of mosquitoes are always happen. Thus, the above three factors effect to the transmission of dengue disease. In this paper, we formulate the dynamical network model and the behaviors of solutions to our model are shown for the different set of parameters. The simulation outputs are shown to introduce the way for reduce the dengue outbreak.
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SIR transmission model of dengue virus taking into account two species of mosquitoes and an age structure in the human population
(2015-07-28)
Sungchasit, R.
;
Pongsumpun, P.
;
Tang, I. M.
Dengue is a vector-borne disease. It is transmitted to humans by the bites of the Aedes aegypti and Aedes albopictus mosquitoes. The human population is separated into two classes, a child class and an adult class, each class being described by a SIR model. The transmission rates of the two mosquito species are different and depend on what class the humans belong to. We develop a single model taking into account the presence of two type of mosquitoes and two age classes and apply it to dengue fever. The model shows how it is possible for the maximum level of infected human to be reached in a short time. The nature of stability of the equilibrium state and the trajectories of the individual classes in the model are determined by the values of the basic reproduction number by setting the values of the parameters in the model to different values which reflect the environment in which the epidemic is occurring in the model.
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A model for the testosterone regulation taking into account the presence of two types of testosterone hormones
(2015-06-01)
Tanutpanit, T.
;
Pongsumpun, P.
;
Tang, I. M.
The purpose of this paper is to study the effect of sex hormone binding globulin (SHBG) on the mathematical model of the hypothalamic-pituitary-gonadal (HPG) endocrine cycle which regulates the production of the male hormone testosterone. Large amounts of total circulating testosterone are bound to SHBG making them. Standard analytical techniques are used to analyze the modified mathematical model which includes a delay to account for the time required for luteinizing hormone emitted by the pituitary gland to reach the testis, to determine the steady state, its stability and the critical delay needed for the bifurcation. Numerical simulation of the solutions of the model is performed to illustrate the possible behaviors.
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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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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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Transmission model of dengue virus by Aedes aegypti and Aedes albopictus
(2013-12-01)
Sungchasit, R.
;
Pongsumpun, P.
;
Tang, I. M.
Mathematical models are used for describing many diseases. Dengue disease is occurred by biting of infected Aedes aegypti and Aedes albopictus mosquitoes. Dengue outbreak is found during the rainy season. Each Aedes mosquito has the different dengue outbreaks and they depend on the temperature and areas. The standard dynamical modeling method is used in this study. The SIR (susceptible-infectedrecovered) model is modified to describe the transmission of dengue virus by two species of vectors. The transmission of dengue virus is varied with time. The dynamical analysis method is used for analyzing this model. We confirm these results by using numerical results. © 2013 Pushpa Publishing House, Allahabad, India.
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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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