University of Tabriz Computational Methods for Differential Equations 2345-3982 7 2 2019 04 01 Analysis of meshless local radial point interpolant on a model in population dynamics 276 288 8591 EN Elyas Shivanian Department of Applied Mathematics, Imam Khomeini International University, Qazvin, 34149-16818, Iran Hedayat Fatahi Department of Mathematics, Baneh Branch, Islamic Azad University, Baneh, Iran Journal Article 2018 02 23 In this work, we present an improvement of the spectral meshless radial point interpolation (SMRPI) method to uncover a simulation behaviour of the population dynamic model which mathematically is the nonlinear partial integro-differential equation. This PDE is a kind of competition strategy in which equivalent individuals match for the same supplies. oreover, this boundary value problem is a particular type of reaction-diffusion problem augmented to an integral term corresponding to the nonlocal consumption of resources. As a result of applying meshless method, it does not matter how the geometry of the domain is complicated because the method enjoys the element free adoption. Applying the SMRPI on the two-dimensional integral equation leads to a linear system of algebraic equations which is easy to treat. Finally, some numeric experiments are presented to show the reliable results. https://cmde.tabrizu.ac.ir/article_8591_fb05fd4443582dedfcf9477f2ed97ef1.pdf