Global stability results for models of commensalism

DOI10.1142/S1793524517500371zbMath1360.92127OpenAlexW2527853881MaRDI QIDQ2977887

Hong Zhang, Daniel Maxin, Paul Georgescu

Publication date: 20 April 2017

Published in: International Journal of Biomathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793524517500371

zbMATH Keywords

global stabilityLyapunov functionalAllee effectsasymptotically autonomous systemscommensalism

Mathematics Subject Classification ID

Lyapunov and storage functions (93D30) Ecology (92D40) Global stability of solutions to ordinary differential equations (34D23)

Related Items (8)

Two delayed commensalism models with noise coupling and interval biological parameters ⋮ Optimal harvesting of a stochastic commensalism model with time delay ⋮ Note on the persistence and stability property of a commensalism model with Michaelis-Menten harvesting and Holling type II commensalistic benefit ⋮ Stability and bifurcation analysis of two species amensalism model with Michaelis-Menten type harvesting and a cover for the first species ⋮ The influence of commensalism on a Lotka-Volterra commensal symbiosis model with Michaelis-Menten type harvesting ⋮ Permanence, partial survival, extinction, and global attractivity of a nonautonomous harvesting Lotka-Volterra commensalism model incorporating partial closure for the populations ⋮ Dynamic behavior of a commensalism model with nonmonotonic functional response and density-dependent birth rates ⋮ Dynamical analysis of a Lotka Volterra commensalism model with additive Allee effect

Cites Work

• Unnamed Item
• Lyapunov functions and global stability for \(SIR\) and \(SIRS\) epidemiological models with non-linear transmission
• Lyapunov functionals for two-species mutualisms
• Mathematical models of restoration and control of a single species with Allee effect
• A bifurcation analysis of a differential equations model for mutualism
• The global stability of coexisting equilibria for three models of mutualism
• Global stability for an SEIR epidemiological model with varying infectivity and infinite delay
• Predator-prey models with component Allee effect for predator reproduction
• Global stability of predator-prey interactions
• Asymptotically autonomous differential equations in the plane
• Lyapunov functions for two-species cooperative systems
• Global Stability for a Virus Dynamics Model with Nonlinear Incidence of Infection and Removal
• Lyapunov functions and global properties for SEIR and SEIS epidemic models
• Application of POD-DEIM Approach for Dimension Reduction of a Diffusive Predator-Prey System with Allee Effect

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