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Abstract

The interaction of multiple specie of animals in an ecological system is modeled by first reducing the ecological system to a kernel ecological system consisting of keystone species and top predators in the environment through the Graph Theory. From the reduced kernel ecological system of keystone specie, a system of Lotka-Volterra differential equations is used to describe the predator-prey relationships that exist. The equations for the number of organisms per species were derived and additive environmental stochasticity or noise are added to each equation. The noise is assumed to come from an extreme value distribution or Gumbel distribution to reflect the impact of extreme weather conditions on the population dynamics of the entire ecological system.

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