**An Ammensal Species With Limited Resources And Enemy Species With Unlimited Resources - Global Stability Analysis**

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

1. Faculty in Mathematics, Department of Mathematics

Bapatla Engineering College, Bapatla, India.Email:kvlna@yahoo.com

2. Professor (Retd.) of Mathematics, Dept. of Mathematics & Humanities

National Institute of Technology, Warangal, India.

**ABSTRACT**

The paper devotes to explore the global stability of a Mathematical model of an Ammensal with limited resources and enemy with unlimited resources by Liapunov’s stability analysis. It is derived by constructing a suitable Liapunov’s function for evaluating the global stability of the model in which Ammensal survives and the enemy is in washed out state where the death rate of the enemy species is greater than its birth rate.

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 444 – 449