caa a22 4500 445330341 CHVBK 20180317142735.0 cr unu---uuuuu 170323e20110301xx s 000 0 eng 10.1007/s00285-010-0332-1 doi (NATIONALLICENCE)springer-10.1007/s00285-010-0332-1 Predator-prey system with strong Allee effect in prey [Elektronische Daten] [Jinfeng Wang, Junping Shi, Junjie Wei] Global bifurcation analysis of a class of general predator-prey models with a strong Allee effect in prey population is given in details. We show the existence of a point-to-point heteroclinic orbit loop, consider the Hopf bifurcation, and prove the existence/uniqueness and the nonexistence of limit cycle for appropriate range of parameters. For a unique parameter value, a threshold curve separates the overexploitation and coexistence (successful invasion of predator) regions of initial conditions. Our rigorous results justify some recent ecological observations, and practical ecological examples are used to demonstrate our theoretical work. Springer-Verlag, 2010 Predator-prey model nationallicence Allee effect nationallicence Global bifurcation nationallicence Limit cycles nationallicence Heteroclinic loop nationallicence Wang Jinfeng Department of Mathematics, Harbin Institute of Technology, 150001, Harbin, Heilongjiang, People's Republic of China aut Shi Junping Y.Y. Tseng Functional Analysis Research Center, Harbin Normal University, 150025, Harbin, Heilongjiang, People's Republic of China aut Wei Junjie Department of Mathematics, Harbin Institute of Technology, 150001, Harbin, Heilongjiang, People's Republic of China aut Journal of Mathematical Biology Springer-Verlag 62/3(2011-03-01), 291-331 0303-6812 62:3<291 2011 62 285 https://doi.org/10.1007/s00285-010-0332-1 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00285-010-0332-1 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Wang Jinfeng Department of Mathematics, Harbin Institute of Technology, 150001, Harbin, Heilongjiang, People's Republic of China aut NATIONALLICENCE 700 1- Shi Junping Y.Y. Tseng Functional Analysis Research Center, Harbin Normal University, 150025, Harbin, Heilongjiang, People's Republic of China aut NATIONALLICENCE 700 1- Wei Junjie Department of Mathematics, Harbin Institute of Technology, 150001, Harbin, Heilongjiang, People's Republic of China aut NATIONALLICENCE 773 0- Journal of Mathematical Biology Springer-Verlag 62/3(2011-03-01), 291-331 0303-6812 62:3<291 2011 62 285 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer