Coexistence in competition models with density-dependent mortality.
We consider a two-competitor/one-prey model in which both competitors exhibit a general functional response and one of the competitors exhibits a density-dependent mortality rate. It is shown that the two competitors can coexist upon the single prey. As an example, we consider a two-competitor/one-prey model with a Holling II functional response. Our results demonstrate that density-dependent mortality in one of the competitors can prevent competitive exclusion. Moreover, by constructing a Liapunov function, the system has a globally stable positive equilibrium.
Ruan
Shigui
S
Department of Mathematics, University of Miami, P.O. Box 249085, Coral Gables, FL 33124-4250, USA. ruan@math.miami.edu
Ardito
Ada
A
Ricciardi
Paolo
P
DeAngelis
Don L
DL
D000818:Animals; D003163:Competitive Behavior; D007700:Kinetics; D008433:Mathematics; D008954:Models, Biological; D008962:Models, Theoretical; D009026:Mortality; D011235:Predatory Behavior; D015203:Reproducibility of Results