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    Influenza transmission model by dynamical analysis and cellular automata
    (2020-09-30)
    The infection of the airways and lung called as influenza. The influenza cases occurred every year. We can find influenza cases around the world. Influenza is an acute respiratory disease. Symptoms of the disease include fever, headache, myalgia, sore throat and cough. Children who infected with influenza may be associated with gastrointestinal symptoms such as nausea, vomiting, and diarrhea. The influenza cases are found in children and adults. SEIR model (S = susceptible, E = exposed, I = infectious, R = recovered) is described for the transmission of influenza. We analyzed the model by using dynamical analysis and Cellular automata is done to see the spread of influenza. The effects of each parameters influence to the transmission of this disease are shown.
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    Local Stability of Influenza Virus with Vaccination
    (2020-05-15)
    Influenza virus is an infectious disease. This caused by influenza virus. The symptoms consist of high fever, runny nose, sore throat, muscle and joint pain. In this paper, we construct the mathematical model for the transmission of influenza virus.We separate the human into 2 groups such as group of persons who obtain the vaccination and group of persons who do not obtain the vaccination. Each group, we separated the persons intothe susceptible, exposed, infectious, quarantined and recovered groups. We analyzed the equilibrium point and find the local stability of them by using standard dynamical modeling method. The basic reproduction number of this mathematical model is found. We obtain the condition for the disease fee steady state and endemic disease state will be local stability. Numerical results of the model are shown.
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    Analysis of the Mathematical Model of Covid-19 in Thailand
    (2021-08-20)
    The purpose of this research is to study the characteristics of the COVID-19 virus in Thailand. We formulate the mathematical model of COVID-19 virus. We separate the human populations into 6 groups. The infected human populations are separated into 2 classes such as infectious human population with no show symptom and infectious human population with symptoms. We study the behavior of the equilibrium points of the model. Determine the conditions for the local stability of the equilibrium points. Numerical results of mathematical models are presented. This will lead to a reduction in the mortality rate of patients in Thailand.
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    Local stability analysis of mathematical model of Tuberculosis disease in Thailand
    (2021-01-15)
    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.
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    Mathematical model for 4 serotypes of dengue virus with vaccination
    (2018-12-01)
    Lamwong, Jiraporn
    ;
    In this study, we formulate the SIR model to consider the transmission cycle between two population groups; Human and mosquito populations. We are interested in the cases of unvaccinated and vaccinated where human populations are infected from DEN1, DEN2, DEN3 and DEN4. For mosquito population, we divided it into susceptible and infected populations. The model is analyzed by using dynamical modeling method. The basic reproductive number is obtained from next generation matrix. If the basic reproductive number is less than one, the solutions of our model converge to the disease free steady state. The solutions of our model oscillate to the endemic steady state for the basic reproductive number is greater than one. The numerical solutions are found to support our analytical results.
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    Dynamical model of rabies disease in human and dog
    (2022-04-28)
    Rabies causes inflammation of the brain in humans and other mammals. This is a viral disease. Every year, there are about 59,000 people worldwide die from rabies. About 99 percent of them have been bitten by dogs. This study, we formulated the dynamical model consider the transmission of rabies disease. The most important animals which transmit this disease are dogs, cats and possibly other animals. We consider the transmission of rabies virus between human and dog populations. The dynamical model is separated into human and dog populations. The standard dynamical analysis is used to analyze this model. The local and global stabilities are analyzed.
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    Simplified Modeling Approach to Characterize Sudden Load Disturbances in WirelessHART FOPDT Systems
    This paper presents the simplified modelling approach to characterize sudden load disturbance in WirelessHART™. Two approaches are presented. The model was firstly formulated through Laplace transformation, where the resulting integral equation renders non-linear optimization problems into simple linear optimizations. Experiments were conducted on a coupled tanks system connected through the WirelessHART™ protocol. Based on the initial fit to the experimental results, the second model then places two locally affine relationships, one for the load flow disturbances, and the other for the level measurements to the responses. The extended locally affine model gave on average a 25% reduction in errors, compared to the Laplace-based method, while better captured the non-linear effects resulting from the WirelessHART™.
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    Malaria transmission model of juvenile and adult humans
    (2011-12-01) ;
    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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    Age structured model for symptomatic and asymptomatic dengue infections
    (2007-12-01)
    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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    Dynamical Model of Hand Foot Mouth Disease With the Effect of Vaccination
    (2025-10-06)
    Hand, foot and mouth disease is caused by enter viruses, including Coxsackie and Enter virus 71 or EV71. It is often found in young children. In this study, the author formulates the differential equations which describe the transmission of Hand, foot and mouth disease incorporating the vaccination. A dynamic model is proposed for the purpose. The differential equations are analyzed by standard dynamical modeling method. The basic reproduction number is found to reduce the transmission of this disease. The numerical solutions are presented to confirm analytical results.