Global stability of the coexistence equilibrium for a general class of models of facultative mutualism
From MaRDI portal
Publication:3300894
DOI10.1080/17513758.2017.1343871zbMath1447.92354OpenAlexW2732395053WikidataQ46344038 ScholiaQ46344038MaRDI QIDQ3300894
Daniel Maxin, Luděk Berec, Paul Georgescu, Laurentiu Sega
Publication date: 31 July 2020
Published in: Journal of Biological Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/17513758.2017.1343871
global stabilitypopulation dynamicsLyapunov functionalmonotonicity propertyAllee effectmutualistic interactionfacultative mutualism
Population dynamics (general) (92D25) Ecology (92D40) Global stability of solutions to ordinary differential equations (34D23)
Related Items
Coexistence in a mutualistic model with cross-diffusion in a heterogeneous environment, Threshold boundedness conditions for n-species mutualisms, Threshold dynamics of a cooperation–diffusion–advection model in open advective environments, Mutualism and predator interference: One consumer, two resources, Survival and stationary distribution of a stochastic facultative mutualism model with distributed delays and strong kernels, Asymptotic profile of a mutualistic model on a periodically evolving domain, Optimal control to a facultative mutualistic model with harvesting
Cites Work
- Unnamed Item
- Persistence in seasonally varying predator-prey systems via the basic reproduction number
- Lyapunov functionals for two-species mutualisms
- A bifurcation analysis of a differential equations model for mutualism
- The global stability of coexisting equilibria for three models of mutualism
- Lyapunov functions for two-species cooperative systems
- Dynamical systems: Stability theory and applications
- ALLEE EFFECTS: POPULATION GROWTH, CRITICAL DENSITY, AND THE CHANCE OF EXTINCTION
- The Theory of the Chemostat