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Amensalism Model: A Mathematical Study

Papa Rao. A.V., Lakshmi Narayan K., Kondala Rao. K.

Abstract


We describe a mathematical model for the interaction between three species syn-ecological model consists of first (N1), second (N2) and third species (N3). The first and second species are mutually helping and amensol on the third species. A time delay is incorporated in the amensol. This model is characterized by system of ordinary non linear differential equations. The co-existing state is identified and also characterizes the local, global stability analysis at this state. We provide a numerical simulation in support of stability analysis and our results shows that the delay argument is significant in the dynamics of third species (amensal).

Keywords


Ammensalism, Equilibrium points, Global Stability, Time delay.

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