KMITL

Permanent URI for this communityhttps://dspace.kmitl.ac.th/handle/123456789/1

Browse

Settings

Author: search.filters.author.Pongsumpun, P.Subject: search.filters.subject.Mathematical model

Search Results

Now showing 1 - 5 of 5
  • Loading...
    Thumbnail Image
    Some of the metrics are blocked by your 
    consent settings
    Item type:Publication,
    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.
  • Loading...
    Thumbnail Image
    Some of the metrics are blocked by your 
    consent settings
    Item type:Publication,
    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.
  • Loading...
    Thumbnail Image
    Some of the metrics are blocked by your 
    consent settings
    Item type:Publication,
    Mathematical modeling for dengue transmission with the effect of season
    (2011-03-01)
    Kongnuy, R.
    ;
    Pongsumpun, P.
    Mathematical models can be used to describe the transmission of disease. Dengue disease is the most significant mosquito-borne viral disease of human. It now a leading cause of childhood deaths and hospitalizations in many countries. Variations in environmental conditions, especially seasonal climatic parameters, effect to the transmission of dengue viruses the dengue viruses and their principal mosquito vector, Aedes aegypti. A transmission model for dengue disease is discussed in this paper. We assume that the human and vector populations are constant. We showed that the local stability is completely determined by the threshold parameter, B<inf>0</inf>. If B<inf>0</inf> is less than one, the disease free equilibrium state is stable. If B<inf>0</inf> is more than one, a unique endemic equilibrium state exists and is stable. The numerical results are shown for the different values of the transmission probability from vector to human populations.
  • Loading...
    Thumbnail Image
    Some of the metrics are blocked by your 
    consent settings
    Item type:Publication,
    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.
  • Loading...
    Thumbnail Image
    Some of the metrics are blocked by your 
    consent settings
    Item type:Publication,
    Mathematical model of the symptomatic and asymptomatic infections of swine flu
    (2011-01-06)
    Pongsumpun, P.
    ;
    Tang, I. M.
    Swine flu (swine influenza) is a respiratory disease caused by type A influenza. This disease is transmitted between the persons through coughing or sneezing with the virus. Persons may also become infected by touching something, contaminated with flu virus and then touching their eyes, nose or mouth. The most common clinical findings are fever, cough, sore throat, malaise, headache, vomiting and diarrhea have also been common, both of which are unusual features of seasonal influenza. In this paper, the transmission of Swine flu is studied through standard dynamical modeling method. The symptomatic and asymptomatic patients are considered with the different transmission rates. The analytical solutions of the model are obtained. The numerical simulations are shown to support the theoretical predictions. The basic reproductive number is produced for introducing the alternative way to decrease the disease outbreak.