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Titlebook: An Introduction to Mathematical Modeling of Infectious Diseases; Michael Y. Li Textbook 2018 Springer International Publishing AG 2018 Mat

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Basic Mathematical Tools and Techniques,cGraw-Hill Education, New York, 1985) [11], Hale (Ordinary differential equations. Dover Publications, New York, 2009) [24], Hartman (Ordinary differential equations, 2002) [25], and Piccinini, Stampacchia and Vidossich (Ordinary differential equations in .. Springer, New York, 1984) [51] are excellent sources.
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Five Classic Epidemic Models and Their Analysis, models to demonstrate these methods. We start from the basic Kermack–McKendrick model and progressively expand it to a model with demography, and then introduce the Ross–MacDonald model for malaria. Each model is chosen to illustrate a specific mathematical approach for model analysis: the method o
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Parameter Estimation and Nonlinear Least-Squares Methods,d on the values of the model parameters. While mathematical analysis of models we have discussed in Chapter . is very useful for understanding asymptotic behaviors and longtime qualitative outcomes, when models are confronted with disease data the problem is often for finite time, and an accurate es
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Special Topics,higher dimensional models, models having more than two modeling equations. For the local stability analysis, we demonstrate how the Routh–Hurwitz conditions can be used to show that the eigenvalues of a . matrix have negative real parts. The proof of global stability of the endemic equilibrium using
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Beta-Thalassemia with potential pharmacological compounds, bone marrow transplantation, and stem cell therapy are being investigated. Therefore, the present chapter is focused to explore molecular epidemiology of disease and recent advances in the treatment strategies of the disease.
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