SOME THRESHOLD THEOREMS OF A TWOSPECIES
COMPETING ECOLOGICAL MODEL
B. Bhaskara Rama Sarma^{1} 

N.Ch. Pattabhiramacharyulu^{2} 
S.V.N.L.Lalitha^{3} 
1. Faculty of Mathematics, BRS Classes, #2284 ,Vivekananda street, Hanuman nagar, Ramavarappadu,Vijayawada, A.P521108^{}
2. Faculty of Mathematics (Retd.),
NIT,
3. Faculty of Electrical Engineering,
In the present investigation the stability
analysis of a twospecies competing ecological model is highlighted in view of
principle of competitive exclusion due to Gause (1934). A pair of nonlinear
system of ordinary differential equations characterizes the model. The four
equilibrium states are identified and a threshold theorem is derived to
establish the stability of the coexistent
Key words :Competitive exclusion, Threshold
results, Stability, Equilibrium states.
AMS Classification : 92 D 25, 92 D 40
International
eJournal of Mathematics and Engineering
Volume 1, Issue 1I, Pages 180190