Stability and bifurcation analysis on a ratio-dependent predator-prey model with time delay

Journal of Computational and Applied Mathematics

Volumn 230, Issue 1, 2009, Pages 187-203

  Xu, Rui ^a,b   Gan, Qintao ^b   Ma, Zhien ^a  

^a XI'AN JIAOTONG UNIVERSITY   (China)

^b INSTITUTE OF APPLIED MATHEMATICS   (China)

Author keywords

Hopf bifurcation; Ratio dependence; Stability; Time delay

Indexed keywords

BIFURCATING PERIODIC SOLUTIONS; BOUNDARY EQUILIBRIUM; CENTER MANIFOLD REDUCTIONS; CHARACTERISTIC EQUATION; EXPLICIT FORMULA; GLOBAL ATTRACTIVENESS; GLOBAL STABILITY; ITERATION TECHNIQUES; LOCAL STABILITY; NORMAL FORM THEORY; NUMERICAL SIMULATION; POSITIVE EQUILIBRIUM; RATIO-DEPENDENCE; RATIO-DEPENDENT PREDATOR-PREY MODEL; STABILITY AND BIFURCATION ANALYSIS; SUFFICIENT CONDITIONS; TRIVIAL EQUILIBRIUM;

SYSTEM STABILITY; TIME DELAY;

HOPF BIFURCATION;

EID: 67349089567     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2008.11.009     Document Type: Article

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