Long-time behaviour of a stochastic prey-predator model
We consider a system of stochastic equations which models the population dynamics of a prey-predator type. We show that the distributions of the solutions of this system are absolutely continuous. We analyse long-time behaviour of densities of the distributions of the solutions. We prove that the densities can converge in L1 to an invariant density or can converge weakly to a singular measure.
Year of publication: |
2003
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Authors: | Rudnicki, Ryszard |
Published in: |
Stochastic Processes and their Applications. - Elsevier, ISSN 0304-4149. - Vol. 108.2003, 1, p. 93-107
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Publisher: |
Elsevier |
Keywords: | Prey-predator model Diffusion process Markov semigroups Asymptotic stability |
Saved in:
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