Analysis of a stochastic predator-prey population model with Allee effect and jumps

DOI10.1186/s13660-019-2014-xzbMath1499.60195OpenAlexW2929936617WikidataQ115519155 ScholiaQ115519155MaRDI QIDQ2067776

Rong Liu, Guirong Liu

Publication date: 19 January 2022

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-019-2014-x

zbMATH Keywords

predator-preyChebyshev's inequalityAllee effectLévy noiseexponential martingale inequality

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Dynamical systems in biology (37N25) Population dynamics (general) (92D25) Ecology (92D40)

Related Items

A Markov-switching predator–prey model with Allee effect for preys ⋮ Extinction and ergodic stationary distribution of a Markovian-switching prey-predator model with additional food for predator

Cites Work

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• Stochastic population dynamics driven by Lévy noise
• Some weighted Hardy-type inequalities on anisotropic Heisenberg groups
• The impact of Allee effect on a predator-prey system with Holling type II functional response
• Sufficient and necessary conditions of stochastic permanence and extinction for stochastic logistic populations under regime switching
• Competitive Lotka-Volterra population dynamics with jumps
• Existence, uniqueness, and global stability of positive solutions to the food-limited population model with random perturbation
• Evolution of predator-prey systems described by a Lotka-Volterra equation under random environment
• Asymptotic behavior of a stochastic non-autonomous predator-prey system with jumps
• Boundedness of positive operators on weighted amalgams
• Numerical simulations and modeling for stochastic biological systems with jumps
• Optimal harvesting of a stochastic logistic model with time delay
• Extinction in stochastic predator-prey population model with Allee effect on prey
• Stochastic inequalities and applications to dynamics analysis of a novel SIVS epidemic model with jumps
• Asymptotic behavior of a stochastic population model with Allee effect by Lévy jumps
• Necessary and sufficient condition for comparison theorem of 1-dimensional stochastic differential equations
• Population dynamical behaviors of stochastic logistic system with jumps
• Lévy Processes and Stochastic Calculus
• A strong law of large numbers for local martingales