Global Stability Results for Models of Commensalism
Document Type
Article
Publication Date
4-2017
Journal Title
International Journal of Biomathematics
Volume
10
Issue
3
Abstract
We analyze the global stability of the coexisting equilibria for several models of commensalism, first by devising a procedure to modify several Lyapunov functionals which were introduced earlier for corresponding models of mutualism, further confirming their usefulness. It is seen that commensalism promotes global stability, in connection with higher-order self-limiting terms which prevent unboundedness. We then use the theory of asymptotically autonomous systems to prove global stability results for models of commensalism which are subject to Allee effects, finding that commensalisms of appropriate strength can overcome the influence of strong Allee effects.
Recommended Citation
Georgescu, P., Maxin, D., & Zhang, H. (2016). Global stability results for models of commensalism. International Journal of Biomathematics, 10(3), [1750037]. https://doi.org/10.1142/S1793524517500371