Stochastic equation of population dynamics with diffusion on a domain |
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Authors: | Elisabetta Tornatore |
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Affiliation: | (1) Dipartimento di Matematica ed Applicazioni, Università di Palermo, via Archirafi, 34, 90123 Palermo, Italy |
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Abstract: | We consider Lotka-Volterra competition model with diffusion in a territorial domain with a stochastic perturbation which represents the random variations of environment conditions. We prove the existence, the uniqueness and the positivity of the solution. Moreover, the stochastic boundedness of the solution is analized. |
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