Stationary distribution, extinction and density function of a stochastic prey-predator system with general anti-predator behavior and fear effect

DOI10.1016/j.chaos.2022.112458zbMath1506.92072OpenAlexW4288421089WikidataQ113878254 ScholiaQ113878254MaRDI QIDQ2677438

Bingtao Han, Daqing Jiang

Publication date: 13 January 2023

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2022.112458

zbMATH Keywords

extinctionstationary distributiondensity functionnonlinear perturbationstochastic prey-predator systemanti-predator behavior

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Population dynamics (general) (92D25) Ordinary differential equations and systems with randomness (34F05)

Related Items (1)

A higher-order noise perturbed predator-prey system with fear effect and mixed functional responses

Cites Work

• Unnamed Item
• Unnamed Item
• The long time behavior of a predator-prey model with disease in the prey by stochastic perturbation
• The threshold of a stochastic SIS epidemic model with vaccination
• Dynamics of a stochastic density dependent predator-prey system with Beddington-DeAngelis functional response
• Effect of prey refuge on a harvested predator-prey model with generalized functional response
• Extinction and stationary distribution of an impulsive stochastic chemostat model with nonlinear perturbation
• Bifurcation analysis of a predator-prey model with anti-predator behaviour
• Modelling the fear effect in predator-prey interactions
• Coexistence and exclusion of stochastic competitive Lotka-Volterra models
• Permanence and global attractivity of the food-chain system with Holling IV type functional response
• Handbook of stochastic methods for physics, chemistry and the natural sciences
• The qualitative analysis of two species predator-prey model with Holling's type III functional response
• A comparison theorem for solutions of stochastic differential equations and its applications
• Almost sure exponential stability of neutral stochastic differential difference equations
• Stationary distribution and extinction of a stochastic predator-prey model with distributed delay
• Periodic solution and stationary distribution of stochastic predator-prey models with higher-order perturbation
• The extinction and persistence of the stochastic hepatitis B epidemic model
• Environmental Brownian noise suppresses explosions in population dynamics.
• Stationary distribution and extinction of a stochastic predator-prey model with herd behavior
• Cross-diffusion induced Turing instability for a competition model with saturation effect
• Impact of the fear effect in a prey-predator model incorporating a prey refuge
• The impact of virus carrier screening and actively seeking treatment on dynamical behavior of a stochastic HIV/AIDS infection model
• Stationary distribution of a stochastic predator-prey model with hunting cooperation
• A predator-prey system with generalized Holling type IV functional response and Allee effects in prey
• Analysis of a stochastic competitive model with saturation effect and distributed delay
• Analysis of a stochastic distributed delay epidemic model with relapse and Gamma distribution kernel
• Dynamics and simulations of a second order stochastically perturbed SEIQV epidemic model with saturated incidence rate
• A note on a stochastic Holling-II predator-prey model with a prey refuge
• Stationary distribution and ergodicity of a stochastic cholera model with multiple pathways of transmission
• Influence of the fear factor on the dynamics of a stochastic predator-prey model
• Threshold behavior of a stochastic predator-prey system with prey refuge and fear effect
• Permanence, extinction and periodicity to a stochastic competitive model with infinite distributed delays
• Ergodic stationary distribution and extinction of a hybrid stochastic SEQIHR epidemic model with media coverage, quarantine strategies and pre-existing immunity under discrete Markov switching
• Threshold behavior in a stochastic algal growth model with stoichiometric constraints and seasonal variation
• Ergodic property of a Lotka-Volterra predator-prey model with white noise higher order perturbation under regime switching
• Stationary distribution and extinction of a stochastic predator-prey model with additional food and nonlinear perturbation
• The impact of hospital resources and environmental perturbations to the dynamics of SIRS model
• Optimal harvesting of stochastic population models with periodic coefficients
• An Algorithmic Introduction to Numerical Simulation of Stochastic Differential Equations
• Conditions for permanence and ergodicity of certain stochastic predator–prey models
• ON THEORETICAL MODELS FOR COMPETITIVE AND PREDATORY BIOLOGICAL SYSTEMS
• Dynamical behavior of a stochastic predator-prey model with stage structure for prey
• An Asymptotic Solution to a Two-Dimensional Exit Problem Arising in Population Dynamics
• Asymptotic Properties of Hybrid Diffusion Systems
• Evolutionary Games and Population Dynamics
• Long-Term Analysis of a Stochastic SIRS Model with General Incidence Rates

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