Högnäs, Göran A compact invariant set for the Ricker competition model. (English) Zbl 1353.92078 Alsedà i Soler, Lluís (ed.) et al., Difference equations, discrete dynamical systems and applications, ICDEA, Barcelona, Spain, July 23–27, 2012. Proceedings of the 18th international conference. Berlin: Springer (ISBN 978-3-662-52926-3/hbk; 978-3-662-52927-0/ebook). Springer Proceedings in Mathematics & Statistics 180, 127-134 (2016). Summary: A compact invariant set inside the open first quadrant is constructed for the Ricker competition model (RCM) \[ F(x,y) = \begin{pmatrix} f_1(x,y) \\ f_2(x,y) \end{pmatrix} = \begin{pmatrix} xe^{r-x-by} \\ ye^{\tilde{r} - ax -y} \end{pmatrix} \] under the condition of mutual invasibility.For the entire collection see [Zbl 1357.39001]. Cited in 2 Documents MSC: 92D25 Population dynamics (general) Keywords:mutual invasibility; coexistence; time average of Ricker model PDFBibTeX XMLCite \textit{G. Högnäs}, Springer Proc. Math. Stat. 180, 127--134 (2016; Zbl 1353.92078) Full Text: DOI References: [1] Luís, R., Elaydi, S., Oliveira, H.: Stability of a Ricker-type competition model and the competitive exclusion principle. J. Biolog. Dyn. 5, 636–660 (2011) · Zbl 1236.92070 · doi:10.1080/17513758.2011.581764 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.