30 research outputs found
Analytical solution of an SEIV epidemic model by Homotopy Perturbation method
In this paper, we consider an SEIV epidemic model which represents the interection of infected and susceptible individuals in the population through horizontal transmission. We find the analytical solution of the proposed model by Homotopy perturbation method which is one of the best method for finding the solution of the nonlinear problem. By using this techniques, first, we solve the problem analytically and then compare the numerical results with other standards methods. We also justfy the numerical simulation and their results. Mostly nonlinear problem have upon some difficulties, and their solution is some time difficult to obtain. However, this techniques help us to obtain their approximate as well as analytical solution just after few perturbation terms
Application of Homotopy Perturbation Method to an SIR Epidemic Model
ABSTRACT In this paper, an SIR (Susceptible, Infected and Recovered) epidemic model is consider to find the approximate/ exact solution by Perturbation method. We apply the Homotopy perturbation method to the model to find its approximate solution. The Homotopperturbation method gives a good results for non-linear problems of differential equations. First, we explain the method in detail and then we apply the HPM to our model. The analytical results are solve numerically and compare with other standard methods. The numerical results shows the that HPM have a good agreement with other standards. For illustrations of the theoretical results numerical results are presented in the form of Graphs
Killing Symmetry in Special Axially Symmetric Static Spacetimes in Teleparalel Theory of Gravitation
In this paper we are searching for teleparallel Killing vector fields of special axially symmetric static spacetimes in teleparallel theory of gravitation by using direct integration and algebraic techniques. After thorough investigations, the whole problem is divided into three cases under different constraints. Two of the said cases give contradiction, while one of them gives the solution of the system comprising the killing equations in the form of killing vector fields. The dimension of the killing symmetry in this case is 10
Some properties of meromorphic alpha-convex functions and its applications
The aim of the present paper is to obtain sufficient condition for the class of meromorphic alpha convex functions of order ζ and then to study mapping properties of an integral operator. Many known results apear as special consequences ofour wor