We are interested in a modified Lotka-Volterra model to analyze population dynamics of two competing species which are ecologically identical (that is, they use the same resource). The model incorporates a non-linear relationship to represent the interaction between the species. We study the stability of the equilibrium points of the system and compare the qualitative behavior of the equilibrium points in our model with qualitative behavior of the classical Lotka-Volterra equations. Our result suggests that in some cases the modified model may have more than one equilibrium points in the interior of the first quadrant, which biologically means that the two species may co-exist at multiple positive population sizes.
Stover, Christopher; Mohammed-Awel, Jemal; and Lazari, Andreas
"Investigation of the Qualitative Behavior of the Equilibrium Points for a Modified Lotka-Volterra Model,"
Georgia Journal of Science, Vol. 67, No. 2, Article 5.
Available at: https://digitalcommons.gaacademy.org/gjs/vol67/iss2/5