**A Study On The Global Stability Of An Ammensal Species With Unlimited Resources – The Enemy Species With Limited Resources**

**K.V.L.N.Acharyulu1 & N. Ch. Pattabhi Ramacharyulu2**

- Faculty in Mathematics, Department of Mathematics, Bapatla Engineering College, Bapatla, India. Email: kvlna@yahoo.com
- Professor (Retd.) of Mathematics, Department of Mathematics & Humanities, National Institute of Technology, Warangal, India. A.P.

**ABSTRACT:**

In this paper the global stability of a Mathematical model of an Ammensal species with unlimited resources and the enemy species with limited resources is examined by Liapunov’s stability criteria. It is extracted by constructing a suitable Liapunov’s function for evaluating the global stability of the model at fully washed out state where the mortality rates of both the species are greater than their birth rates respectively.

**AMS** **Classification**: 92 D 25, 92 D 40

**Key** **words**: Equilibrium states, Stability, Liapunov’s function for global stability

**International
eJournal of Mathematics and Engineering**

Volume 1, Issue 3, Pages: 498 – 505