Bifurcation and stability analysis for a delayed Leslie-Gower predator-prey system

IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications)

Volumn 74, Issue 4, 2009, Pages 574-603

  Yuan, Sanling ^a   Song, Yongli ^b  

^a UNIVERSITY OF SHANGHAI FOR SCIENCE AND TECHNOLOGY   (China)

^b TONGJI UNIVERSITY   (China)

Author keywords

Global Hopf bifurcation; Local Hopf bifurcation; Periodic solutions; Time delay

Indexed keywords

ASYMPTOTICALLY STABLE; BIFURCATING PERIODIC SOLUTIONS; BIFURCATION PARAMETER; CRITICAL VALUE; FEEDBACK DELAY; FINITE NUMBER; FUNCTIONAL DIFFERENTIAL EQUATIONS; GLOBAL EXISTENCE; GLOBAL HOPF BIFURCATION; LOCAL HOPF BIFURCATION; PERIODIC SOLUTION; PERIODIC SOLUTIONS; POSITIVE EQUILIBRIUM; PREDATOR - PREY SYSTEM; PREY SPECIES; STABILITY ANALYSIS;

DIFFERENTIAL EQUATIONS; ECOSYSTEMS; SYSTEM STABILITY; SYSTEMS ANALYSIS; TIME DELAY;

HOPF BIFURCATION;

EID: 68249154882     PISSN: 02724960     EISSN: 14643634     Source Type: Journal    
DOI: 10.1093/imamat/hxp013     Document Type: Article

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