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.
2007
coexistence; competition; competitive exclusion; density dependent mortality; density-dependent mortality; functional response
01 Pubblicazione su rivista::01a Articolo in rivista
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]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/233818
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