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Global Stability of A COMMENSAL – HOST ECOLOGICAL MODEL WITH A HOST HARVESTING AT A CONSTANT RATE

N. Phani Kumar1 B. Ravindra Reddy2 

C.Srinivasa Kumar3 and N. Ch.Pattabhi Ramacharyulu4

 

Abstract

In this paper we establish the global stability of a commensal – host ecological model with a host harvesting at a constant rate, by constructing a suitable Liapunov’s function in case of co-existent equilibrium state.

AMD Classification: 92D25, 92D40.

Keywords: Equilibrium state, Liapunov’s function, Global stability.

 

 

 

 


International eJournal of Mathematics and Engineering

Volume 1, Issue 4, Pages: 610 – 615