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Full-Text Articles in Non-linear Dynamics
The Sir Model When S(T) Is A Multi-Exponential Function., Teshome Mogessie Balkew
The Sir Model When S(T) Is A Multi-Exponential Function., Teshome Mogessie Balkew
Electronic Theses and Dissertations
The SIR can be expressed either as a system of nonlinear ordinary differential equations or as a nonlinear Volterra integral equation. In general, neither of these can be solved in closed form. In this thesis, it is shown that if we assume S(t) is a finite multi-exponential, i.e. function of the form S(t) = a+ ∑nk=1 rke-σkt or a logistic function which is an infinite-multi-exponential, i.e. function of the form S(t) = c + a/b+ewt, then …