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Manuscript Title: Ecological Ammensal Model With Reserve For One Species and Harvesting For Both the Species at Variable Rates

Author : M. Lakshmi Sailaja, K.V.L.N.Acharyulu, and N.Rama GopalP.Rama Mohan

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Abstract: The paper presents the study of a mathematical model of Ecological Ammensalism with reserve for Ammensal species and harvesting at variable rates for both the species under limited resources. A pair of first order nonlinear coupled differential equations characterizes this model. All the four equilibrium points of the model have been identified and the criteria for the stability are discussed in all cases. Solutions for the linearized perturbed equations are derived and the results are validated accordingly.

Keywords: Equilibrium points, Normal Steady state, harvesting, stability.

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