Long-time behaviour of a stochastic prey-predator model

Ryszard Rudnicki

Stochastic Processes and their Applications, 2003, vol. 108, issue 1, 93-107

Abstract: 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.

Keywords: Prey-predator; model; Diffusion; process; Markov; semigroups; Asymptotic; stability (search for similar items in EconPapers)
Date: 2003
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Citations: View citations in EconPapers (30)

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