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. To cite this article: S. Ruan et al., C. R. Biologies 330 (2007). © 2007 Académie des sciences.
Coexistence in competition models with density-dependent mortality / Shigui, Ruan; Ardito, Ada; Ricciardi, Paolo; D. O. N. L., Deangelis. - In: COMPTES RENDUS BIOLOGIES. - ISSN 1631-0691. - STAMPA. - 330:12(2007), pp. 845-854. [10.1016/j.crvi.2007.10.004]
Coexistence in competition models with density-dependent mortality
ARDITO, Ada;RICCIARDI, Paolo;
2007
Abstract
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. To cite this article: S. Ruan et al., C. R. Biologies 330 (2007). © 2007 Académie des sciences.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.