caa a22 4500 445330074 CHVBK 20180317142734.0 cr unu---uuuuu 170323e20111101xx s 000 0 eng 10.1007/s00285-010-0392-2 doi (NATIONALLICENCE)springer-10.1007/s00285-010-0392-2 Global analysis of a stoichiometric producer-grazer model with Holling type functional responses [Elektronische Daten] [Xiong Li, Hao Wang, Yang Kuang] Cells, the basic units of organisms, consist of multiple essential elements such as carbon, nitrogen, and phosphorus. The scarcity of any of these elements can strongly restrict cellular and organismal growth. During recent years, ecological models incorporating multiple elements have been rapidly developed in many studies, which form a new research field of mathematical and theoretical biology. Among these models, the one proposed by Loladze etal. (Bull Math Biol 62:1137-1162, 2000) is prominent and has been highly cited. However, the global analysis of this nonsmooth model has never been done. The aim of this paper is to provide the complete global analysis for the model with Holling type I functional response and perform a bifurcation analysis for the model with Holling type II functional response. Springer-Verlag, 2011 Stoichiometry nationallicence Producer nationallicence Grazer nationallicence Nutrient nationallicence Light nationallicence Holling type functional response nationallicence Global stability nationallicence Limit cycle nationallicence Bifurcation nationallicence Li Xiong Laboratory of Mathematics and Complex Systems, School of Mathematical Sciences, Beijing Normal University, Ministry of Education, 100875, Beijing, People's Republic of China aut Wang Hao Department of Mathematical and Statistical Sciences, University of Alberta, T6G 2G1, Edmonton, AB, Canada aut Kuang Yang School of Mathematical and Statistical Sciences, Arizona State University, 85287, Tempe, AZ, USA aut Journal of Mathematical Biology Springer-Verlag 63/5(2011-11-01), 901-932 0303-6812 63:5<901 2011 63 285 https://doi.org/10.1007/s00285-010-0392-2 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00285-010-0392-2 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Li Xiong Laboratory of Mathematics and Complex Systems, School of Mathematical Sciences, Beijing Normal University, Ministry of Education, 100875, Beijing, People's Republic of China aut NATIONALLICENCE 700 1- Wang Hao Department of Mathematical and Statistical Sciences, University of Alberta, T6G 2G1, Edmonton, AB, Canada aut NATIONALLICENCE 700 1- Kuang Yang School of Mathematical and Statistical Sciences, Arizona State University, 85287, Tempe, AZ, USA aut NATIONALLICENCE 773 0- Journal of Mathematical Biology Springer-Verlag 63/5(2011-11-01), 901-932 0303-6812 63:5<901 2011 63 285 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer