** **

**ON THE STABILITY OF AN AMMENSAL-ENEMY
SPECIES PAIR WITH UNLIMITED RESOURCES**

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

1. Department
of Mathematics,

2. Former
Faculty, Department of Mathematics & Humanities, National Institute of
Technology,

**Abstract**

In this paper a
mathematical ecological model comprising of two species S_{1} and S_{2}
(enemy) with unlimited resources is investigated. The Ammensal
species (S_{1}), in spite of its natural resources gets adversely
effected due to the interaction with the enemy species (S_{2}).This
model is characterized by first order non-linear coupled differential
equations. The criteria for its stability of the only existing equilibrium
state is discussed .The stability state is obtained only when the death rate is
greater than the birth rate of both the species. Comparisons between limited
resources and unlimited resources of this model are established.

**International eJournal of
Mathematics and Engineering**

**Volume 1, Issue ****2**, Pages 140-149