**A Cover Protected Ammensal With Constant Harvesting Rate and Enemy Species Pair With Limited Resources**

**M. Lakshmi Sailaja**^{1}**, K.V.L.N.Acharyulu**^{2}** and N.Ch. Pattabhi Ramacharyulu**^{3}

1 M.Sc (Mathematics), St.Theresa Women’s College, Eluru-534006,India,Email:jabili2008@gmail.com

2 Faculty in Mathematics, Department of Mathematics, Bapatla Engineering College, Bapatla-522101,India. Email:kvlna@yahoo.com

3 Former Faculty, Department of Mathematics & Humanities, National Institute of Technology, Warangal – 506004, India

ABSTACT

The paper explores a mathematical model of a cover protected Ammensal with constant harvesting rate and enemy species pair with limited resources. The Mathematical model is characterized by a couple of first order non-linear ordinary differential equations. All six equilibrium points for this model are identified and their stability criteria are discussed. Solutions for the linearised perturbed equations are found and the results are discussed.

**International
eJournal of Mathematics and Engineering**

Volume 1, Issue 4, Pages: 577 – 591