Stability and instability analysis for a ratio-dependent predatorprey system with diffusion effect

Nonlinear Analysis: Real World Applications

Volumn 12, Issue 3, 2011, Pages 1616-1626

  Liao, Maoxin ^a,b   Tang, Xianhua ^b   Xu, Changjin ^b,c  

^a UNIVERSITY OF SOUTH CHINA   (China)

^b CENTRAL SOUTH UNIVERSITY   (China)

^c HUNAN INSTITUTE OF ENGINEERING   (China)

Author keywords

Diffusion driven; Hopf bifurcation; Instability; Periodic solution; Ratio dependent predatorprey system; Stability

Indexed keywords

DIFFUSION DRIVEN; DIFFUSION EFFECTS; DIFFUSION SYSTEMS; DIFFUSION-DRIVEN INSTABILITY; EQUILIBRIUM SOLUTIONS; FOLLOWING PROBLEM; HOPF BIFURCATION ANALYSIS; INSTABILITY; NEUMANN BOUNDARY CONDITION; NUMERICAL SIMULATION; PERIODIC SOLUTION; POSITIVE EQUILIBRIUM; PREDATOR - PREY SYSTEM; RATIO-DEPENDENT PREDATORPREY SYSTEM; STABILITY AND INSTABILITY; THEORETICAL RESULT;

BOUNDARY CONDITIONS; DIFFUSION; PROBLEM SOLVING; SYSTEM STABILITY;

HOPF BIFURCATION;

EID: 79952625579     PISSN: 14681218     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nonrwa.2010.10.016     Document Type: Article

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