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Analytical approximate solution of leptospirosis epidemic model with standard incidence rate | ||
| Computational Methods for Differential Equations | ||
| مقاله 4، دوره 7، شماره 3، مهر 2019، صفحه 370-382 اصل مقاله (260.14 K) | ||
| نوع مقاله: Research Paper | ||
| نویسندگان | ||
| Rukhsar Ikram1؛ Amir Khan* 1؛ Asaf Khan2؛ Tahir Khan2؛ Gul Zaman2 | ||
| 1Department of Mathematics and Statistics, University of Swat, Khyber Pakhtunkhwa, Pakistan | ||
| 2Department of Mathematics, University of Malakand, Chakdara, Dir(Lower), Khyber Pakhtunkhwa, Pakistan | ||
| چکیده | ||
| In this paper, we consider a mathematical model of leptospirosis disease which is an infectious disease. The model we are considering is a system of nonlinear ordinary differential equations and it is difficult to find exact solution. In order to compute the approximate solution, He's homotopy perturbation method is used. The findings obtained by HPM and Runge-Kutta fourth order (RK4) methods are compared. To show the simplicity and reliability of the method, sample plots are given at the end of the paper. | ||
| کلیدواژهها | ||
| Leptospirosis؛ Homotopy perturbation method؛ Epidemic model؛ Numerical simulations | ||
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