In a homogeneously mixing population of E. coli, colicin-producing and colicin-sensitive strategies both may be evolutionarily stable for certain parameter ranges, with the outcome of competition determined by initial conditions. In contrast, in a spatially-structured population, there is a unique ESS for any given set of parameters; the outcome is determined by how effective allelopathy is in ...

The allelopathy of alien plants is critical to their successful invasion. In nature, two can co-invade the same habitat. Changes in forms nitrogen may have potential alter invasion process by causing alterations allelopathy. This study aimed evaluate individual and combined from Asteraceae family, Solidago canadensis L. Conyza (L.) Cronq. examined effects aqueous leaf extracts with different (N...

In this paper, a delay model of plankton allelopathy is investigated. By using the coincidence degree theory, sufficient conditions for existence of periodic solutions are obtained. The presented criteria improve and extend previous results in the literature. 2000 Mathematics Subject Classification: 92D25, 34C25.

Certain invasive plants may rely on interference mechanisms (e.g., allelopathy) to gain competitive superiority over native species. But expending resources on interference presumably exacts a cost in another life-history trait, so that the significance of interference competition for invasion ecology remains uncertain. We model ecological invasion when combined effects of preemptive and interf...