Dynamical behavior of stochastic predator-prey models with distributed delay and general functional response

DOI10.1080/07362994.2019.1695628zbMath1444.92092OpenAlexW2990949924WikidataQ115550953 ScholiaQ115550953MaRDI QIDQ5113862

Daqing Jiang, Qun Liu, Tasawar Hayat, Ahmed Alsaedi

Publication date: 18 June 2020

Published in: Stochastic Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/07362994.2019.1695628

zbMATH Keywords

periodic solutiondistributed delaypositive recurrencegeneral functional responsestochastic predator-prey model

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Population dynamics (general) (92D25) Periodic solutions to functional-differential equations (34K13)

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Cites Work

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• Stationary distribution of stochastic population systems under regime switching
• On hybrid competitive Lotka-Volterra ecosystems
• Qualitative analysis of a stochastic ratio-dependent predator-prey system
• Sufficient and necessary conditions of stochastic permanence and extinction for stochastic logistic populations under regime switching
• Permanence and asymptotical behavior of stochastic prey-predator system with Markovian switching
• Dynamics of a stochastic predator-prey model with stage structure for predator and Holling type II functional response
• Evolution of predator-prey systems described by a Lotka-Volterra equation under random environment
• Stochastic population dynamics under regime switching. II
• On competitive Lotka-Volterra model in random environments
• Dynamics of the stochastic Leslie-Gower predator-prey system with randomized intrinsic growth rate
• Periodic solution and stationary distribution of stochastic predator-prey models with higher-order perturbation
• Bifurcation of a delayed gause predator-prey model with Michaelis-Menten type harvesting
• Stability of regime-switching stochastic differential equations
• Dynamical analysis of a stochastic predator-prey model with an Allee effect
• Stochastic population dynamics under regime switching
• Noise and productivity dependence of spatiotemporal pattern formation in a prey-predator system
• Noise-Induced Phenomena in the Environmental Sciences
• Ratio-dependent predator–prey model: effect of environmental fluctuation and stability
• DETERMINISTIC AND STOCHASTIC ANALYSIS OF A NONLINEAR PREY-PREDATOR SYSTEM
• Stochastic Differential Equations with Markovian Switching