6533b855fe1ef96bd12b1aee

RESEARCH PRODUCT

Stochastic equation of population dynamics with diffusion on a domain

Elisabetta Tornatore

subject

Continuous-time stochastic processeducation.field_of_studyCompetition modelGeneral MathematicsPopulationMathematical analysisA domainQuantitative Biology::Populations and EvolutionPerturbation (astronomy)Applied mathematicsUniquenesseducationMathematics

description

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.

https://doi.org/10.1007/bf02871921