KMITL

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

Browse

Settings

Author: search.filters.author.Pongsumpun, PuntaniSubject: search.filters.subject.mathematical model

Search Results

Now showing 1 - 7 of 7
  • Loading...
    Thumbnail Image
    Some of the metrics are blocked by your 
    consent settings
    Item type:Item,
    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.
  • Loading...
    Thumbnail Image
    Some of the metrics are blocked by your 
    consent settings
    Item type:Item,
    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.
  • Loading...
    Thumbnail Image
    Some of the metrics are blocked by your 
    consent settings
    Item type:Item,
    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.
  • Loading...
    Thumbnail Image
    Some of the metrics are blocked by your 
    consent settings
    Item type:Item,
    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.
  • Loading...
    Thumbnail Image
    Some of the metrics are blocked by your 
    consent settings
    Item type:Item,
    Analyze of the Model for Cancer Transmission
    (2021-05-22)
    Suvarnamani, Alongkot
    ;
    Pongsumpun, Puntani
    Cancer is a disease which dividing of abnormal cells cannot controlled and can invade nearby tissues. Cancer cells can also spread to other body organs. Moreover, we know that the genetic is a cause of cancer. So, we used SIR model (Susceptible-Infected-Recovered) for focusing on the mathematical model of cancer. We examined the dynamics of the disease and use dynamic analysis for analyzing the stability of the model. Then we found the equilibrium states and the basic reproductive number of the mathematical model of cancer. By the numerical simulations, the comparison of the parameters effect to the model, result, and conclusion are presented.
  • Loading...
    Thumbnail Image
    Some of the metrics are blocked by your 
    consent settings
    Item type:Item,
    Local stability analysis of mathematical model of Tuberculosis disease in Thailand
    (2021-01-15)
    Pongsumpun, Puntani
    Tuberculosis (TB) is a contagious disease that is caused by Mycobacterium. It can be transmitted by air. When infected Tuberculosis speaks, coughs or sneezes. TB is present in the sputum droplets and rises into the air. Large aerosol particles often fall on the ground and dry out. The main symptom of tuberculosis is a chronic cough that lasts 2 weeks or more. Other symptoms may include loss of appetite, weight loss, fatigue, fever, chest pain, shortness of breath. This disease is transmitted between human. In this paper, we find the dynamical equations of this disease. We analyzed our mathematical model to find the equilibrium points of our mathematical model. Numerical solutions are analyzed to see the distribution of each group of population. The basic reproduction number of the disease is derived. The influence of each factor is analyzed.
  • Loading...
    Thumbnail Image
    Some of the metrics are blocked by your 
    consent settings
    Item type:Item,
    Analyze of SEIR dengue infectious transmission model with vaccination
    (2020-09-30)
    Chamnan, Anusit
    ;
    Pongsumpun, Puntani
    Dengue infection is caused by dengue virus. The virus live in the Aedes mosquitoes. Dengue fever (DF) is caused by the dengue virus. They have four serotypes such that DEN-1, DEN-2, DEN-3, and DEN-4. The disease is transmitted from the biting of mosquito through the mosquito's saliva. We focus on the mathematical model of dengue disease with vaccination before the first serotypes infections of the dengue virus and considered the recurrent infection and death from infection. We used SEIR model (Susceptible-Exposed-Infected-Recovered) for the human population and SI for vector population. This is used to examine the dynamics of the disease. We analyzed the stability of the model by using dynamic analysis. The equilibrium states and the reproductive number of our model are found. The numerical simulations are used for compare the parameters that affect this model, result, and conclusion are presented.