Global Stability of A COMMENSAL – HOST ECOLOGICAL MODEL WITH A HOST HARVESTING AT A CONSTANT RATE
N. Phani Kumar1 B. Ravindra Reddy2
and N. Ch.Pattabhi Ramacharyulu4
1. Faculty in Mathematics, Departmental Humanities & Sciences, Malla Reddy Engineering College, Secunderabad, India. Emailfirstname.lastname@example.org
2. JNTUH College of Engineering, Nachupally (Kondagattu), Karimnagar 505501, India.Email: email@example.com
3. Gopal Reddy College of Engineering & Technology, Pedakangarla (V), Patancheru (M), Medak (Dt) – 502319, A.P, India, Email: firstname.lastname@example.org
4. Ex faculty, Department of Mathematics & Humanities, National Institute of Technology, Warangal, India., EMail: email@example.com
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