Author/Authors :
PARAND, K. shahid beheshti university - Department of Computer Science, تهران, ايران , GHASEMI, M. shahid beheshti university - Department of Applied Mathematics, تهران, ايران , REZAZADEH, S. shahid beheshti university - Department of Applied Mathematics, تهران, ايران , PEIRAVI, A. shahid beheshti university - Department of Applied Mathematics, تهران, ايران , GHORBANPOUR, A. shahid beheshti university - Department of Applied Mathematics, تهران, ايران , TAVAKOLI GOLPAYGANI, A. iran university of medical sciences - Department of Medical physics and Biomedical Engineering, ايران
Abstract :
The study used the Quasilinearization method to solve Volterra s model for population growth of a species within a closed system is proposed. This model is a nonlinear integro-differential where the integral term represents the effect of toxin. First we convert this model to a nonlinear ordinary differential equation, then approximate the solution of this equation by treating the nonlinear terms as a perturbation about the linear ones. Finally we compare this method with the other methods and come to the conclusion that the Quasilinearization method gives excellent results.
Keywords :
Volterra s Population Model , Quasilinearization , Integro , differential , Barycentric
