**
InternationaleJournals**

**
Liapunov’s Stability Analysis ON
AMMENSAL-ENEMY SPECIES PAIR WITH LIMITED RESOURCES**

**
K.V.L.N.Acharyulu ^{1} & N. Ch. Pattabhi Ramacharyulu^{2}**

^{1}.
Faculty in Mathematics, Department of Mathematics, Bapatla Engineering
College, Bapatla, Guntur, A.P. India.

^{2}.
Professor (Retd.) of Mathematics, Dept. of Mathematics & Humanities,
National Institute of Technology, Warangal, A.P. India.

**Abstract**

The paper aims to analyse the global stability of a Mathematical model of Ammensalism between two species surviving with limited resources by Liapnov’s stability analysis. It is derived by constructing a suitable Liapanov’s function for evaluating the global stability of the model in the case of normal steady state.

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

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

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International eJournal of Mathematics and Engineering**

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Volume
1, Issue 1I**,
Pages: 240 - 245