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Vietnam Journal of Mathematics 38: 2 (2010)
143-155
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Dynamics of the Stochastic Equation of Cooperative
Population
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Ta Viet Ton
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Abstract. In this paper, we consider the
equation system of population dynamics for two species in cooperation with
a stochastic perturbation of environmental variation that is proportional
to the number of individuals. We study the asymptotic behavior of the solution
according to different relations between the coefficients.
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2000 Mathematics Subject Classification: 47D07, 60H10,
92D25.
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Keywords: Cooperative model, diffusion process,
Markov semi-groups, asymptotic stability.
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by Vietnam Academy of Science and Technology & Vietnam Mathematical
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