Elsayed M. Elsayed

Analytical Study of a System of Difference Equation

Abdualrazaq Sanbo & Elsayed M. Elsayed · Asian Research Journal of Mathematics · 2019

We study the qualitative behavior of a predator-prey model, where the carrying capacity of the predators environment is proportional to the number of prey. The considered system is given by the following rational difference equations: $$x_{n+1}=\dfrac{x_{n} y_{n-2}}{y_{n-1} + y_{...

Open access Research Article 10.9734/arjom/2019/v14i130118

Analytical Study of the Difference Equation `x_{n+1}=\dfrac{x_{n} x_{n-6}}{x_{n-5}\left(\pm 1 - x_nx_{n-6}\right)}`

Abdualrazaq Sanbo, Elsayed M. Elsayed & Faris Alzahrani · Asian Research Journal of Mathematics · 2019

This paper is devoted to find the form of the solutions of a rational difference equations with arbitrary positive real initial conditions. Specific form of the solutions of two special cases of this equation are given.

Open access Research Article 10.9734/arjom/2019/v12i230081