The protection zone for biological population in random environment

DOI10.1002/mma.2621zbMath1318.92004OpenAlexW1999342950MaRDI QIDQ4917321

Xiaoling Zou, Ke Wang

Publication date: 29 April 2013

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.2621

zbMATH Keywords

Markov chainstationary distributionnumerical simulationsstochastic modelpersistence and extinctionwhite and color noises

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Asymptotic properties of solutions to ordinary differential equations (34D05) General biology and biomathematics (92B05) Applications of continuous-time Markov processes on discrete state spaces (60J28)

Related Items

Survival analysis of a single-species population model with fluctuations and migrations between patches, Dynamical properties of a biological population with a protected area under ecological uncertainty

Cites Work

• Unnamed Item
• Stationary distribution of stochastic population systems
• Dynamical behavior of Lotka-Volterra competition systems: non-autonomous bistable case and the effect of telegraph noise
• The protection zone of biological population
• A robustness analysis of biological population models with protection zone
• Persistence in stochastic food web models
• Analysis of a predator-prey model with modified Leslie-Gower and Holling-type II schemes with stochastic perturbation
• Population dynamical behavior of Lotka-Volterra system under regime switching
• A diffusive predator-prey model with a protection zone
• How to model marine reserves?
• Effect of a protection zone in the diffusive Leslie predator-prey model
• On competitive Lotka-Volterra model in random environments
• Continuous-time Markov chains. An applications-oriented approach
• A comparison theorem for solutions of stochastic differential equations and its applications
• A note on nonautonomous logistic equation with random perturbation
• Comparison theorem of one-dimensional stochastic hybrid delay systems
• A diffusive competition model with a protection zone
• Can protected areas potentially enlarge viability domains for harvesting management?
• Stability for multispecies population models in random environments
• Ratio-dependent predator–prey model: effect of environmental fluctuation and stability
• Stochastic Differential Equations with Markovian Switching
• Study on harvested population with diffusional migration