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Researcher: KUMAR VINOD
Keywords: Stability, Basic Reproduction Number, Epidemic Diseases, Routh Hurwitz Condition, Compartmental Model
University: Manav Rachna International University
Completed Date: 2018
Abstract: A communicable disease is an illness which spreads from person to person, animal to newlineperson, animal to animal through inhaling of the virus liable to spread it or through newlinedirect entry/ touch of the infected blood into healthy person blood or through bite of newlinean insect to a healthy person. The people have been suffering from communicable newlinediseases for thousands of years because human beings can be easily affected by newlineviruses present around him. Viral infections can be transmitted from animals or birds newlinelike: pigs, swine, ducks, hens, turkeys, horses, and many other species of warmblooded newlinevertebrates. It is believed that probably the first epidemic infection was newlinecaught by human population through thereof being friendly to domestic animal newlineneeded for their agricultural profession/activities or their daily need for bread and newlinebutter. In the study of communicable diseases, a mathematical modeling plays an newlineimportant role to predict them (communicable diseases). Mathematical Modelingand#8223; newlinehas a long history in the medical science which has been used astonishingly and a newlinevariety of mathematical models have been used to analyze the spread to and newlineobliteration of a particular communicable disease. In the study of communicable newlinediseases, there are four main microorganisms: viruses, bacteria, parasites and fungi. In newlineepidemiology, viruses play an important role and describe the spatiotemporal spread newlineof infection in human population. The practical use of the mathematical modeling newlinemust rely on an epidemiological model. However, modeling in the field of newlineepidemiology was properly extended, improved and developed in the beginning of the newlinetwentieth century when William Hamer and Ronald Ross applied law of mass actionand#8223; newlineto explain epidemic behavior. With the passage of time Mathematical Modeling was newlineused to determine the daily life problems, especially biological problems and thereof newlinespread rate. newline
Appears in Departments:Department of Mathematics

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3_thesis chapter 1 to 7.pdf1.18 MBAdobe PDFView/Open

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