**InternationaleJournals**

Modeling and stability analysis
of two mutually interacting species

** B. Ravindra Reddy ^{1}, N.
Phani Kumar^{2},**

Email: drcskumar41@gmail.com

Abstract

The present paper concerns with a model of two mutually interacting species with limited resources for first species and unlimited resources for second species. The model is characterized by a coupled system of first order non-linear ordinary differential equations. In all two equilibrium points are identified. If the death rate of the second species is greater than its birth rate, it is found that there are three equilibrium points. The criteria for asymptotic stability have been established for all the equilibrium points. The co-existent state is always stable. The solutions of the linearised basic equations are obtained and their trends are illustrated

**Key words: **Equilibrium points, Mutualism, Coexistence state,
Stability.

**International
eJournal of Mathematics and Engineering**

Volume 2, Issue 1, Pages: 818 - 825