InternationaleJournals

A Two Level and Four Species Ecological Ammensalism-Global Stability Analysis

K.V.L.N.Acharyulu1  and N.Rama Gopal 2 and N.Ch. Pattabhi Ramacharyulu3 

1Department of Mathematics, Bapatla Engineering College, Bapatla-522101, India. Email: kvlna@yahoo.com

 2Department of Chemical Enginering, Bapatla Engineering College, Bapatla-522101, India. Email: nrgbec@gmail.com

 3 Department of Mathematics & Humanities, National Institute of Technology, Warangal – 506004,India. Email: Patabhi1933@yahoo.com

 

ABSTRACT 

            The paper purposes to look into the global stability of a mathematical model of two level Ammensalism with Four Species (A,P,E,H) Eco-System of Ammensal-Prey(A),Predator-Ammensal(P),Enemy-Ammensal(E) and malice(M) species. The two levels of Ammensalism are considered in the pairs of (P, H) and (E,H).  The model is launched with a set of first order non-linear four ordinary differential coupled equations. Global stability of the model-“A Two Level and Four species Ecological Ammensalism” is investigated in the coexistent case. 

Keywords: Ammensal, Prey, Predator, Enemy, Malice, Eco-System, Equillibrium point, Stable.

AMS Classification: 92D25, 92D40

 

 


International eJournal of Mathematics and Engineering

Volume 4, Issue 2, Pages:  2028 - 2036