Periodic Solution of Nonlinear System of Integro-Differential Equations Depending on the Gamma Distribution

In this paper we investigate the periodic solution of nonlinear system of integro- differential equations depending on the gamma distribution by using the numerical analytic method for investigate periodic solutions of ordinary differential equation which given by Samoilenko A. M. .These investigations lend us to the improving and extending the above method. Also we expand the results gained by Butris R. N. to change the periodic system of nonlinear integro-differential equations to periodic system of nonlinear integro-differential equations depending the on gamma distribution.