Permanence, partial survival, extinction, and global attractivity of a nonautonomous harvesting Lotka-Volterra commensalism model incorporating partial closure for the populations
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Publication:1721979
DOI10.1186/s13662-018-1662-3zbMath1448.92224OpenAlexW2808911288WikidataQ129577809 ScholiaQ129577809MaRDI QIDQ1721979
Xiangdong Xie, Qifa Lin, Yu Liu
Publication date: 13 February 2019
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-018-1662-3
Lyapunov functionextinctionharvestingpermanencefluctuation lemmapartial closurecommensalism modeldifferent inequalitypartial survival
Population dynamics (general) (92D25) Stability of solutions to ordinary differential equations (34D20) Ecology (92D40)
Related Items (17)
Optimal harvesting of a stochastic commensalism model with time delay ⋮ Unnamed Item ⋮ Approximate Analytical Expression of Diffusive Lotka-Volterra Prey-Predator Equations via Variational Iteration Method ⋮ Dynamic behaviors of a non-selective harvesting single species stage-structured system incorporating partial closure for the populations ⋮ Stability and bifurcation analysis of two species amensalism model with Michaelis-Menten type harvesting and a cover for the first species ⋮ Dynamic behaviors of a stage-structured commensalism system ⋮ Unnamed Item ⋮ The influence of commensalism on a Lotka-Volterra commensal symbiosis model with Michaelis-Menten type harvesting ⋮ Dynamic behavior of a commensalism model with nonmonotonic functional response and density-dependent birth rates ⋮ Stability and Hopf bifurcation analysis for a two-species commensalism system with delay ⋮ Stability and Bifurcation Analysis of a Commensal Model with Additive Allee Effect and Nonlinear Growth Rate ⋮ Note on the persistence and stability property of a stage-structured prey-predator model with cannibalism and constant attacking rate ⋮ New model of may cooperative system with strong and weak cooperative partners ⋮ Stability and bifurcation analysis in a single-species stage structure system with Michaelis-Menten-type harvesting ⋮ Dynamical analysis of a Lotka Volterra commensalism model with additive Allee effect ⋮ Periodic solution of a discrete commensal symbiosis model with Hassell-Varley type functional response ⋮ Impact of Michaelis-Menten type harvesting in a Lotka-Volterra predator-prey system incorporating fear effect
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