CORRELATION FUNCTIONS FOR LOTKA-VOLTERRA MODEL

Authors

  • Suzan. A. A. Abu-harbid Mathematics Department. Science Faculty. Omar Al-Mukhtar University. Al-guba-Libya
  • Abdulrahman. A. El-samman Mathematics Department. Science Faculty. Al-Azhar University. Cairo-Egypt
  • Safaa. S.M. abu-amra Mathematics Department. Science Faculty. Omar Al-Mukhtar University. El-Beida-Libya

DOI:

https://doi.org/10.53555/eijas.v7i1.72

Keywords:

Non-linear (ODEs), Single species, Biological systems, correlation functions, Lotka-volterra model

Abstract

This work is about studying biological system interactions which founded in two types. Also it is one of modeling topics that based on the use of non-linear ordinary differential equations. Consequently, the mutual affect between the interactive groups is estimated. In addition the elements of the same group to chronological correlation functions are of second order form. Therefore, the reflection of mutual affects is due to the existence of the set of solutions. First we choose a simple model of single species of biological system, where we can get the solutions of the governing equations. And then calculate the correlation functions related to the solutions. After that we study the evolution of the lotka-volterra interacting model, then we get the solutions of nonlinear system by approximated method, and evaluate the correlation functions.

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Published

2021-03-27