On the Stability of Harvested Commensal–Host Species pair with Limited resources
N. Phani Kumar1 and N. Ch. Pattabhiramacharyulu2
1. Department of Humanities & Sciences, Faculty in Mathematics, Malla Reddy Engineering College, Secunderabad – 500 014. India.
2. Department of Mathematics & Humanities, Former Faculty, National Institute of Technology, Warangal – 506 004, India.
In this paper, we consider a commensal –host model with the commensal harvested at a constant rate. Further both the commensal and host species are with limited resources. The model is characterized by couple of first order non-linear ordinary differential equations. In all six equilibrium points for the model are identified and their stability criteria are discussed.
Keywords: commensal, host, harvesting, Equilibrium points, Normal Steady state, stability, threshold diagrams.
International eJournal of Mathematics and Engineering
Volume 1, Issue 2, Pages : 262 - 272