Influence of stochastic perturbation on prey–predator systems
Copyright policy )Influence of stochastic perturbation on prey–predator systems
We analyse the influence of various stochastic perturbations on prey-predator systems. The prey-predator model is described by stochastic versions of a deterministic Lotka-Volterra system. We study long-time behaviour of both trajectories and distributions of the solutions. We indicate the differences between the deterministic and stochastic models.
- Silesian University in Opava Czech Republic
- Polish Academy of Sciences Poland
- Institute of Mathematics Poland
- Polish Academy of Learning Poland
Wiener processes, Stochastic Processes, Markov semigroups, Ecology, Asymptotic stability, Population Dynamics, Applications of stochastic analysis (to PDEs, etc.), Extinction, Biological, Models, Biological, Markov Chains, Stochastic ordinary differential equations (aspects of stochastic analysis), Population dynamics (general), Predatory Behavior, Prey-predator model, Diffusion process, Animals, Population Growth, Markov semigroups and applications to diffusion processes, Algorithms, Ecosystem
Wiener processes, Stochastic Processes, Markov semigroups, Ecology, Asymptotic stability, Population Dynamics, Applications of stochastic analysis (to PDEs, etc.), Extinction, Biological, Models, Biological, Markov Chains, Stochastic ordinary differential equations (aspects of stochastic analysis), Population dynamics (general), Predatory Behavior, Prey-predator model, Diffusion process, Animals, Population Growth, Markov semigroups and applications to diffusion processes, Algorithms, Ecosystem
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