TY - JOUR ID - TI - A Reliable Iterative Transform Method for Solving an Epidemic Model AU - Reem Waleed Huisen AU - Sinan H. Abd Almjeed AU - Areej Salah Mohammed PY - 2021 VL - 62 IS - 12 SP - 4839 EP - 4846 JO - Iraqi Journal of Science المجلة العراقية للعلوم SN - 00672904 23121637 AB - The main purpose of the work is to apply a new method, so-called LTAM, which couples the Tamimi and Ansari iterative method (TAM) with the Laplace transform (LT). This method involves solving a problem of non-fatal disease spread in a society that is assumed to have a fixed size during the epidemic period. We apply the method to give an approximate analytic solution to the nonlinear system of the intended model. Moreover, the absolute error resulting from the numerical solutions and the ten iterations of LTAM approximations of the epidemic model, along with the maximum error remainder, were calculated by using MATHEMATICA® 11.3 program to illustrate the effectiveness of the method.

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