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

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

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 Liapunovís stability analysis. It is derived by constructing a suitable Liapunovís 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, Liapunovís function for global stability

 


International eJournal of Mathematics and Engineering

Volume 1, Issue 3, Pages 444 Ė 449