Stationary distribution and ergodicity of a stochastic hybrid competition model with Lévy jumps
By Meng Liu, Yu Zhu. Nonlinear Analysis. Hybrid Systems, 2018
72 citations recorded by the source corpus.
Abstract Taking white noises, Markovian switching and Levy jumps into account, an n − species Lotka–Volterra competitive model with random perturbations is proposed and studied. Sufficient conditions for the existence and uniqueness of an ergodic stationary distribution of the model are established. These sufficient conditions are sharp in some cases. Some interesting results are revealed: the white noises and Levy jumps could make the stationary distribution disappear as well as appear; the Markovian switching could make the stationary distribution appear. Some numerical simulations are also introduced to illustrate the main results.
Subfields: Genetics, Modeling and Simulation, Public Health, Environmental and Occupational Health
View Paper: https://www.semanticscholar.org/paper/511377c1b8b192c558ce1044f8eccf2fc899d940
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In Genetics
In Modeling and Simulation
In Public Health, Environmental and Occupational Health
Citations in the corpus
- Dynamics of a stochastic regime-switching predator–prey model with modified Leslie–Gower Holling-type II schemes and prey harvesting (2019, background): “Stationary distribution and ergodicity of stochastic regime-switchingmodelswere investigated in [43,44,46].”