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Existence of traveling wave solutions in a diffusive predator-prey model

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  • Roger Bagula
    ... Respectfully, Roger L. Bagula tftn@earthlink.net, 11759Waterhill Road, Lakeside,Ca 92040-2905,tel: 619-5610814 : URL : http://home.earthlink.net/~tftn URL
    Message 1 of 1 , Feb 4, 2003
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      Journal of Mathematical Biology
      
                ISSN: 0303-6812 (printed version)
                ISSN: 1432-1416 (electronic version)
      
                Table of Contents 
      
                Abstract Volume 46 Issue 2 (2003) pp 132-152
                DOI 10.1007/s00285-002-0171-9 
      
                Existence of traveling wave solutions in a diffusive predator-prey model
      
                Jianhua Huang (1) (*), Gang Lu (1) (\dagger), Shigui Ruan (2) (‡)
      
                (1) Department of Mathematics, Central China Normal University, Wuhan 430079, Hubei, P. R. China. e-mail: jhhuang@...
                (2) Department of Mathematics, University of Miami, P. O. Box 249085, Coral Gables, FL 33124-4250, USA. e-mail: ruan@...
      
                Received: 25 May 2001 / Revised version: 5 August 2002 / Published online: 19 November 2002
      
                Abstract We establish the existence of traveling front solutions and small amplitude traveling wave train solutions for a reaction-diffusion system based on a predator-prey model with Holling type-II functional response. The traveling front
                solutions are equivalent to heteroclinic orbits in R4 and the small amplitude traveling wave train solutions are equivalent to small amplitude periodic orbits in R4. The methods used to prove the results are the shooting argument and the Hopf
                bifurcation theorem. 
      
                (*) Research was supported by the National Natural Science Foundations (NNSF) of China.
                (\dagger) Research was supported by the National Natural Science Foundations (NNSF) of China.
                (‡) Research was partially supported by the Natural Sciences and Engineering Research Council (NSERC) of Canada. On leave from the Department of Mathematics and Statistics, Dalhousie University, Halifax, Nova Scotia B3H 3J5,
                Canada.
      
                Article in PDF format (173 KB) / Link enabled references 
      
      
      
                Online publication: February 3, 2003
                LINK Helpdesk 
                © Springer-Verlag Berlin Heidelberg 2003

      Respectfully, Roger L. Bagula
      tftn@..., 11759Waterhill Road, Lakeside,Ca 92040-2905,tel: 619-5610814 :
      URL :  http://home.earthlink.net/~tftn
      URL :  http://victorian.fortunecity.com/carmelita/435/
       

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