Effect on persistence of intra-specific competition in competition models
Date
2007-09-24
Authors
Lobry, Claude
Mazenc, Frederic
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
Abstract
An ecological model describing the competition for a single substrate of an arbitrary number of species is considered. The mortality rates of the species are not supposed to have all the same value and the growth function of the substrate is not supposed to be linear or decreasing. Intra-specific competition is taken into account. Under additional technical assumptions, we establish that the model admits a globally asymptotically stable positive equilibrium point. This ensures persistence of the species. Our proof relies on a Lyapunov function.
Description
Keywords
Species coexistence, Ecology, Population dynamics
Citation
Lobry, C., & Mazenc, F. (2007). Effect on persistence of intra-specific competition in competition models. <i>Electronic Journal of Differential Equations, 2007</i>(125), pp. 1-10.
Rights
Attribution 4.0 International