Stochastic permanence, stationary distribution and extinction of a single-species nonlinear diffusion system with random perturbation
From MaRDI portal
Publication:1723862
DOI10.1155/2014/320460zbMath1406.92546OpenAlexW2137520451WikidataQ59036139 ScholiaQ59036139MaRDI QIDQ1723862
Li Zu, Daqing Jiang, Donal O'Regan
Publication date: 14 February 2019
Published in: Abstract and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2014/320460
Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Population dynamics (general) (92D25) Ecology (92D40)
Related Items (9)
Survival analysis of single-species population diffusion models with chemotaxis in polluted environment ⋮ Analysis of stochastic vector-host epidemic model with direct transmission ⋮ Boundedness of stochastic delay differential systems with impulsive control and impulsive disturbance ⋮ A note on stochastic Gilpin-Ayala population model with dispersal ⋮ Stability and ergodicity of a stochastic Gilpin–Ayala model under regime switching on patches ⋮ Conditions for persistence and ergodicity of a stochastic Lotka-Volterra predator-prey model with regime switching ⋮ Population dynamical behaviors of jellyfish model with random perturbation ⋮ Note on the permanence of stochastic population models ⋮ Stochastic dynamics of an HIV/AIDS epidemic model with treatment
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Persistence and extinction in stochastic non-autonomous logistic systems
- Sufficient and necessary conditions of stochastic permanence and extinction for stochastic logistic populations under regime switching
- Persistence and extinction in single-species reaction-diffusion models
- Analysis of a predator-prey model with modified Leslie-Gower and Holling-type II schemes with stochastic perturbation
- Persistence, extinction, and critical patch number for island populations
- Global asymptotic behavior in single-species discrete diffusion systems
- A note on nonautonomous logistic equation with random perturbation
- Stochastic differential delay equations of population dynamics
- Existence, uniqueness and ergodicity of positive solution of mutualism system with stochastic perturbation
- Global stability and stochastic permanence of a non-autonomous logistic equation with random perturbation
- An Algorithmic Introduction to Numerical Simulation of Stochastic Differential Equations
- Global stability and predator dynamics in a model of prey dispersal in a patchy environment
- Stochastic Differential Equations with Markovian Switching
This page was built for publication: Stochastic permanence, stationary distribution and extinction of a single-species nonlinear diffusion system with random perturbation