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Travelling waves of a predator¨Cprey model with a spatiotemporal delay
Qintao Gan
Mathematical Methods in the Applied Sciences
Volume 37, Issue 3,  pages 408¨C419, February 2014
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MATHEMATICAL METHODS IN THE APPLIED SCIENCES



¾í: 37

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Ò³: 408-419

DOI: 10.1002/mma.2800

³ö°æÄê: FEB 2014

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This paper is concerned with the existence of traveling waves to a predator-prey model with a spatiotemporal delay. By analyzing the corresponding characteristic equations, the local stability of a positive steady state and each of boundary steady states are established, and the existence of Hopf bifurcation at the positive steady state is also discussed. By constructing a pair of upper-lower solutions and by using the cross-iteration method as well as the Schauder's fixed-point theorem, the existence of a traveling wave solution connecting the semi-trivial steady state and the positive steady state is proved. Numerical simulations are carried out to illustrate the main theoretical results. Copyright (c) 2013 John Wiley & Sons, Ltd.


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×÷Õ߹ؼü´Ê:predator-prey model; traveling waves; upper-lower solutions; spatiotemporal delay; partial monotonicity

KeyWords Plus:REACTION-DIFFUSION SYSTEMS; STAGE STRUCTURE; TIME DELAYS; STABILITY; FRONTS; EQUATION; BIFURCATION; COMPETITION; TERMS


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ͨѶ×÷ÕßµØÖ·: Gan, QT (ͨѶ×÷Õß)

       Shijiazhuang Mech Engn Coll, Dept Basic Sci, 97 Heping West Rd, Shijiazhuang 050003, Hebei Province, Peoples R China.


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       [ 1 ] Shijiazhuang Mech Engn Coll, Dept Basic Sci, Shijiazhuang 050003, Hebei Province, Peoples R China


µç×ÓÓʼþµØÖ·:ganqintao@sina.com


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National Natural Science Foundation of China  
10671209

11071254

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WILEY-BLACKWELL, 111 RIVER ST, HOBOKEN 07030-5774, NJ USA


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Ñо¿·½Ïò:Mathematics

Web of Science Àà±ð:Mathematics, Applied


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ÎÄÏ×ÀàÐÍ:Article

ÓïÖÖ:English

Èë²ØºÅ: WOS:000329559200010

ISSN: 0170-4214

µç×Ó ISSN: 1099-1476



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Impact Factor (Ó°ÏìÒò×Ó):  Journal Citation Reports®


  

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