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Chance of extinction of populations in food chain model under demographic stochasticity

Bapi Saha

*Corresponding author: Bapi Saha bapi.math@gmail.com

MBE2019,5,3537doi:10.3934/mbe.2019177

The extinction of different species from the earth is increasing at an alarming rate. So, assessment of probability of extinction of different important species in our ecosystem could help us to take proper conservation policy for those population whose chance of extinction is high. In this paper a method is developed to find the probability of extinction of populations in a general n-trophic food chain model under demographic stochasticity. The birth-death process is used to incorporate the demographic stochasticity and the necessary mathematical expressions are obtained. The theoretical finding is validated by numerical simulation for a two dimensional predator-prey system.

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