Hopf bifurcation and Turing instability in the reaction-diffusion Holling-Tanner predator-prey model

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

Volumn 78, Issue 2, 2013, Pages 287-306

  Li, Xin ^a   Jiang, Weihua ^a   Shi, Junping ^b  

^a HARBIN INSTITUTE OF TECHNOLOGY   (China)

^b Dept of Economics and Thomas Jefferson Program in Public Policy at the College of William and Mary   (United States)

Author keywords

Holling type II functional response; Hopf bifurcation; prey predator system; reaction diffusion model; Turing instability

Indexed keywords

BIFURCATING PERIODIC SOLUTIONS; FUNCTIONAL RESPONSE; HOPF BIFURCATION ANALYSIS; NEUMANN BOUNDARY CONDITION; PARTIAL DIFFERENTIAL EQUATIONS (PDE); PREY-PREDATOR SYSTEMS; REACTION-DIFFUSION MODELS; TURING INSTABILITY;

BOUNDARY CONDITIONS; DIFFUSION IN LIQUIDS; ECOLOGY; ORDINARY DIFFERENTIAL EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; STABILITY;

HOPF BIFURCATION;

EID: 84875676938     PISSN: 02724960     EISSN: 14643634     Source Type: Journal    
DOI: 10.1093/imamat/hxr050     Document Type: Article

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