Stochastic analysis of prey-predator model with stage structure for prey |
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Authors: | Tapan Saha Charugopal Chakrabarti |
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Institution: | 1. Department of Mathematics, Haldia Govt. College, East Midnapore, 721657, India 2. Department of Applied Mathematics, University of Calcutta, Kolkata, 700009, India
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Abstract: | The present paper deals with the effect of environmental fluctuation on a prey-predator model with stage structure for prey population. We have studied the stochastic behaviour of the model system around coexisting equilibrium point. Stochastic stability condition in mean square sense is obtained for the stage-structured model with help of a suitable Lyapunov function. Numerical simulations are carried out to substantiate the analytical findings. The main outcomes of mathematical findings are mentioned in conclusion section. |
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