A Mathematical Model Of Ecological Ammensalism For Three Interacting Species With Harvesting At Variable Rates
M. Lakshmi Sailaja1 K.V.L.N.Acharyulu2 N.Ch. Pattabhi Ramacharyulu3
1 M.sc (Mathematics), St.Theresa Women’s College, Eluru-534006,India,Email:firstname.lastname@example.org
2 Faculty of Mathematics, Department of Mathematics, Bapatla Engineering College, Bapatla-522101,India, Email: email@example.com
3 Former Faculty, Department of Mathematics & Humanities, Institute of Technology, Warangal – 506004, India.
The paper intends to study a mathematical model of ecological ammensalism with harvesting at variable rates for three species ecosystem consisting of a prey (S1), a predator (S2) surviving on S1 and an enemy (S3) Ammensal with the prey S1 only. The model is characterized by a system of first order non-linear ordinary differential simultaneous equations. in S1, S2 and S3. All the eight equilibrium points of the model are identified and criteria for their stability are derived.
AMS Classification: 92 D 25, 92 D 40
Keywords: Equilibrium points, Normal Steady state, harvesting, stability
International eJournal of Mathematics and Engineering
Volume 1, Issue 4, Pages: 639 – 662