caa a22 4500 388108487 CHVBK 20180307125346.0 cr unu---uuuuu 161130s1999 xx s 000 0 eng 10.1017/S0308210500021363 doi S0308210500021363 pii (NATIONALLICENCE)cambridge-10.1017/S0308210500021363 Du Yihong School of Mathematical and Computer Sciences, University of New England, Armidale, NSW 2351, Australia A degree theoretic approach to N-species periodic competition systems on the whole ℝN [Elektronische Daten] [Yihong Du] Previous fixed-point index calculation results (see [4] and [7]) exploited in the study of population systems on bounded domains are no longer applicable to systems on the whole ℝn, due mainly to the lack of compactness. In this paper, we develop fixed-point index calculation techniques for non-compact operators so that they are applicable to systems on the whole ℝn. We illustrate the use of our fixed-point index calculation results by a simple representative model, namely, the Lotka-Volterra N-species periodic competition system on the whole ℝn. Copyright © Royal Society of Edinburgh 1999 Proceedings of the Royal Society of Edinburgh: Section A Mathematics Royal Society of Edinburgh Scotland Foundation 129/2(1999), 295-318 0308-2105 129:2<295 1999 129 PRM https://doi.org/10.1017/S0308210500021363 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1017/S0308210500021363 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Du Yihong School of Mathematical and Computer Sciences, University of New England, Armidale, NSW 2351, Australia NATIONALLICENCE 773 0- Proceedings of the Royal Society of Edinburgh: Section A Mathematics Royal Society of Edinburgh Scotland Foundation 129/2(1999), 295-318 0308-2105 129:2<295 1999 129 PRM CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-cambridge