Lyapunov functionals for two-species mutualisms
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Publication:505819
DOI10.1016/j.amc.2013.10.061zbMath1354.92060OpenAlexW2041788004MaRDI QIDQ505819
Publication date: 26 January 2017
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2013.10.061
Population dynamics (general) (92D25) Stability of solutions to ordinary differential equations (34D20)
Related Items (8)
Global stability of nonhomogeneous coexisting equilibrium state for the multispecies Lotka–Volterra mutualism models with diffusion ⋮ Stability and bifurcation analysis of a size-stage-structured cooperation model ⋮ Stability analysis of a fractional-order two-species facultative mutualism model with harvesting ⋮ Global stability results for models of commensalism ⋮ Global stability of the coexistence equilibrium for a general class of models of facultative mutualism ⋮ Complete global stability of a metapopulation model and its dynamically consistent discrete models ⋮ The global stability of coexisting equilibria for three models of mutualism ⋮ Optimal control to a facultative mutualistic model with harvesting
Cites Work
- Lyapunov functions and global stability for \(SIR\) and \(SIRS\) epidemiological models with non-linear transmission
- The stability and persistence of mutualisms embedded in community interactions
- A bifurcation analysis of a differential equations model for mutualism
- Global stability of predator-prey interactions
- Mathematical modeling on obligate mutualism: interactions between leaf-cutter ants and their fungus garden
- Lyapunov functions for two-species cooperative systems
- Global Stability for a Virus Dynamics Model with Nonlinear Incidence of Infection and Removal
- A graph-theoretic approach to the method of global Lyapunov functions
- Lyapunov functions and global properties for SEIR and SEIS epidemic models
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