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Dynamics Behaviors of a Reaction-Diffusion Predator-Prey System with Beddington-DeAngelis Functional Response and Delay

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DOI: 10.4236/am.2014.56080    3,573 Downloads   4,867 Views   Citations


This paper is concerned with the existence of traveling wave solutions in a reaction-diffusion predator-prey system with Beddington-DeAngelis functional response and a discrete time delay. By introducing a partial quasi-monotonicity condition and constructing a pair of upper-lower solutions, we establish the existence of traveling wave solutions. Moreover, a numerical simulation is carried out to illustrate the theoretical results.

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The authors declare no conflicts of interest.

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Du, P. , Duan, C. and Liao, X. (2014) Dynamics Behaviors of a Reaction-Diffusion Predator-Prey System with Beddington-DeAngelis Functional Response and Delay. Applied Mathematics, 5, 843-851. doi: 10.4236/am.2014.56080.


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