title: The global stability of coexisting equilibria for three models of mutualism.
abstract: We analyze the dynamics of three models of mutualism, establishing the global stability of coexisting equilibria by means of Lyapunov's second method. This further establishes the usefulness of certain Lyapunov functionals of an abstract nature introduced in an earlier paper. As a consequence, it is seen that the use of higher order self-limiting terms cures the shortcomings of Lotka-Volterra mutualisms, preventing unbounded growth and promoting global stability.
authors.affiliation: Department of Mathematics, Technical University of Iasi, Bd. Copou 11, 700506 Iasi, Romania. email: v.p.georgescu@gmail.com.
authors.forename: Paul
authors.initials: P
authors.lastname: Georgescu
authors.forename: Hong
authors.initials: H
authors.lastname: Zhang
authors.forename: Daniel
authors.initials: D
authors.lastname: Maxin
mesh_terms: D000818:Animals; D001723:Birth Rate; D003198:Computer Simulation; D006801:Humans; D008954:Models, Biological; D015233:Models, Statistical; D009026:Mortality; D011158:Population Growth; D015203:Reproducibility of Results; D012680:Sensitivity and Specificity; D013559:Symbiosis / Q000502:physiology*