Global Stability of A Commensal- Host ECOLOGICAL MODEL WITH LIMITED RESOURCES AND BOTH ARE HARVESTING AT A CONSTANT RATE
N. Phani Kumar1, B. Ravindra Reddy2 and N. Ch. Pattabhi Ramacharyulu3
1. Faculty in Mathematics, Department of Humanities & Sciences, Malla Reddy Engineering College, Secunderabad, India.
2. Faculty in Mathematics, Department of Humanities & Sciences, Vidya Jyothi Institute of Technology, C.B.Post, Hyderabad.
3. Professor (Retd.) of Mathematics, Dept. of Mathematics & Humanities, National Institute of Technology, Warangal, India.
In this paper we establish the global stability of a commensalism-host ecological model surviving with limited resources and both are harvesting at a constant rate, by constructing a suitable Liapunovís function in case of co-existent equilibrium state.
AMD Classification: 92D25, 92D40.
Keywords: Equilibrium state, Liapunovís function, Global stability.
International eJournal of Mathematics and Engineering
Volume 1, Issue 1II, Pages: 346 - 354