WSEAS Transactions on Biology and Biomedicine
Print ISSN: 1109-9518, E-ISSN: 2224-2902
Volume 20, 2023
Merdan-type Allee Effect on a Lotka-Volterra Commensal Symbiosis Model with Density-dependent Birth Rate
Authors: , , ,
Abstract: A Lotka-Volterra commensal symbiosis model with a density dependent birth rate and a Merdan-type Allee effect on the second species has been proposed and examined. The global attractivity of system’s equilibria is ensured by using the differential inequality theory. Our results show that the Allee effect has no effect on the existence or stability of the system’s equilibrium point. However, both species take longer to approach extinction or a stable equilibrium state as the Allee effect increases.