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หมวดหนังสือ -> เอกสารสถาบันเทคโนโลยีพระจอมเกล้าเจ้าคุณทหารลาดกระบัง -> Mathematical model of dengue fever in Thailand influenced by rainfall, transovarial transmission, and vaccination

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Title
Mathematical model of dengue fever in Thailand influenced by rainfall, transovarial transmission, and vaccination
Creator
Pratchaya Chanprasopchai
Creator.Orgname
King Mongkut's Institute of Technology Ladkrabang
Subject
Hemorrhagic fever -- Mathematical models
Subject
Hemorrhagic fever -- Transmission
Subject
ไข้เลือดออก -- แบบจำลองทางคณิตศาสตร์
Subject
ไข้เลือดออก -- การแพร่ระบาด
Subject
Applied Mathematics -- Thesis (Degree of Doctor)
Subject
King Mongkut's Institute of Technology Ladkrabang. Applied Mathematics -- Thesis (Degree of Doctor)
Description.Abstract
Abstract: The actual historical data of dengue fever in Thailand is collected. The reported and death cases due to dengue disease are presented by total number, region, month, age, and occupation. Mathematical modelling is an essential tool to analyze the dengue fever behavior which the dynamical transmission of dengue virus is described by SIR (Susceptible-Infected-Recovered) and SEIR (Susceptible-Exposed-Infected- Recovered) models. The SEIR model is determined by the role of rainfall in Thailand and the possibility of vertical transmission (VT) while SIR model is analyzed by the effects of vaccination on the transmission of the disease The stability of the solution of the model is analyzed and investigated by using the Routh-Elurwitz criteria. The numerical solutions of differential equations of the model converges to the disease free equilibrium state when the basic reproduction number Ro is less than 1 and converges to endemic equilibrium state when R0 is greater than 1. The trajectories of the numerical solutions for all possibilities projected onto various 2D planes and 3D spaces are presented. The main contributions are determining the effect of rainfall for the dynamical transmission model of the dengue fever in Thailand, the effect of vertical transmission of dengue virus and the role of dengue vaccination in the model
Publisher
สถาบันเทคโนโลยีพระจอมเกล้าเจ้าคุณทหารลาดกระบัง. สำนักหอสมุดกลาง
Publisher.Place
Bangkok
Publisher.Email
library@kmitl.ac.th
Contributor
Puntani Pongsumpun
Contributor.Role
Thesis Advisor
Date.Created
2018
Date.Issued
2020-11-14
Date.Modified
2020-11-14
Type
วิทยานิพนธ์/KMITL E-Thesis
Format
application/pdf
Identifier.KMITL CODE
KMITL-2018-SC-D-001-050
Source.CallNumber
EThesis
Language
eng
Coverage.Spatial
King Mongkut's Institute of Technology Ladkrabang. Central Library
Rights
King Mongkut's Institute of Technology Ladkrabang
Thesis
Thesis (Ph.D. (Applied Mathematics)) -- King Mongkut's Institute of Technology Ladkrabang, 2018
Thesis.DegreeName
Doctor of Philosophy (Applied Mathematics)
Thesis.Level
Doctor
Thesis.Faculty
Faculty of Science
Thesis.Descipline
Applied Mathematics
Thesis.Grantor
King Mongkut's Institute of Technology Ladkrabang


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