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Three Species Ammensalism Model with Time delay

G A L Satyavathi, Paparao. A.V, Sobhan Babu K


We describe a mathematical model for the interaction between three species ecological model consists of first (x), second (y) and third species (z). The first species is preying on second, second species is amensal on the third. A time delay is included in the interaction first and second species. The system is explained by couple of delay differential equations. The co-existing state is identified and also characterizes the local stability analysis at this state. Parametric Hopf bifurcation, instability nature is identified and supported with a suitable numerical simulation using MATLAB.


Ammensalism, Equilibrium points, Stability, Time delay, Hopf bifurcation

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