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Solving nonlinear problems analytically are somewhat difficult because of their variety of natures.
Therefore, researchers are always searching for new techniques (analytic, approximate or numerical) to
solve such nonlinear initial value, boundary value, or mixed problems. Based on such a motivation, in
this work, we have developed a new method known as Andualem and Khan Decomposition Method
(AKDM) for the solution of (SIR) model and Lotka-voltra model. We also used mat lab to analysis the
series solution of both models graphically.
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