Influence of predation on species coexistence in Volterra models. (English) Zbl 0548.92014
This work is devoted to the study of the predator-mediated coexistence in some prey-predator Volterra models. Specifically the difference between the asymptotic behavior of a two-prey, one-predator and a two-prey, two- predator model is examined. There are found several results among which a significant one is that the stability of equilibria as well as the possibility of oscillatory coexistence increase with the inclusion of one or two predators.
Reviewer: G.Karakostas
MSC:
92D25 | Population dynamics (general) |
92D40 | Ecology |
34C05 | Topological structure of integral curves, singular points, limit cycles of ordinary differential equations |
34D99 | Stability theory for ordinary differential equations |
Keywords:
limit cycles; chaotic behaviors; global stability; bifurcation; predator- mediated coexistence; prey-predator Volterra models; stability of equilibria; oscillatory coexistenceReferences:
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