Znn3bq.jpeg
±±¾©Ê¯ÓÍ»¯¹¤Ñ§Ôº2026ÄêÑо¿ÉúÕÐÉú½ÓÊÕµ÷¼Á¹«¸æ
²é¿´: 1083  |  »Ø¸´: 2
µ±Ç°Ö»ÏÔʾÂú×ãÖ¸¶¨Ìõ¼þµÄ»ØÌû£¬µã»÷ÕâÀï²é¿´±¾»°ÌâµÄËùÓлØÌû

ganqintao

ÖÁ×ðľ³æ (ÎÄ̳¾«Ó¢)

[ÇóÖú] Ë­Äܰïæ¿´ÕâÆªWileyÂÛÎÄÊÇ·ñÒѾ­±»SCI¼ìË÷£¬Çóweb of scienceµÄ¼ìË÷ÐÅÏ¢£¬Ð»ÁË ÒÑÓÐ1È˲ÎÓë

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
»Ø¸´´ËÂ¥

» ²ÂÄãϲ»¶

» ±¾Ö÷ÌâÏà¹Ø¼ÛÖµÌùÍÆ¼ö£¬¶ÔÄúͬÑùÓаïÖú:

ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

yy0913100126

гæ (³õÈëÎÄ̳)

Â¥Ö÷Ͷ¸åʱÊÇÔõôÅŰæµÄ£¿Êǰ´pdfÄ£°åÂ𣿻¹ÊÇÔõô£¿ÄǸö×÷ÕßÖ¸ÄÏÎÒû¿´¶®°¡
3Â¥2016-01-02 20:15:39
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû
²é¿´È«²¿ 3 ¸ö»Ø´ð

math_math

гæ (ÖøÃûдÊÖ)

¡¾´ð°¸¡¿Ó¦Öú»ØÌû

¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï
¸Ðл²ÎÓ룬ӦÖúÖ¸Êý +1
ganqintao: ½ð±Ò+15, ¡ï¡ï¡ï¡ï¡ï×î¼Ñ´ð°¸ 2014-05-07 19:18:59
¼ìË÷ÁË, ¼ûÏÂÃæÏêϸÐÅÏ¢
MATHEMATICAL METHODS IN THE APPLIED SCIENCES



¾í: 37

ÆÚ: 3

Ò³: 408-419

DOI: 10.1002/mma.2800

³ö°æÄê: FEB 2014

²é¿´ÆÚ¿¯ÐÅÏ¢











  














ÕªÒª

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.


¹Ø¼ü´Ê

×÷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


×÷ÕßÐÅÏ¢

ͨѶ×÷ÕßµØÖ·: Gan, QT (ͨѶ×÷Õß)

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


µØÖ·:  

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


µç×ÓÓʼþµØÖ·:ganqintao@sina.com


»ù½ð×ÊÖúÖÂл


»ù½ð×ÊÖú»ú¹¹

ÊÚȨºÅ

National Natural Science Foundation of China  
10671209

11071254

²é¿´»ù½ð×ÊÖúÐÅÏ¢   




³ö°æÉÌ

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


Àà±ð / ·ÖÀà

Ñо¿·½Ïò:Mathematics

Web of Science Àà±ð:Mathematics, Applied


ÎÄÏ×ÐÅÏ¢

ÎÄÏ×ÀàÐÍ:Article

ÓïÖÖ:English

Èë²ØºÅ: WOS:000329559200010

ISSN: 0170-4214

µç×Ó ISSN: 1099-1476



ÆÚ¿¯ÐÅÏ¢


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


  

ÆäËûÐÅÏ¢

IDS ºÅ: 287RF

Web of Science ºËÐĺϼ¯ÖÐµÄ "ÒýÓõIJο¼ÎÄÏ×": 33

Web of Science ºËÐĺϼ¯ÖÐµÄ "±»ÒýƵ´Î": 0
»¥ÖúÊÇ¿ìÀÖµÄ!!!!
2Â¥2014-05-07 18:50:41
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû
×î¾ßÈËÆøÈÈÌûÍÆ¼ö [²é¿´È«²¿] ×÷Õß »Ø/¿´ ×îºó·¢±í
[¿¼ÑÐ] 0703»¯Ñ§µ÷¼Á 348·Ö +10 °¦ÎÒ³¬ÕæÃ»ÕÐÁË 2026-04-06 10/500 2026-04-08 00:45 by JourneyLucky
[¿¼ÑÐ] 331Çóµ÷¼Á +5 ÕÅÔªÒ» 2026-04-07 6/300 2026-04-07 22:13 by hemengdong
[¿¼ÑÐ] µ÷¼Á +18 ²»·ê´º 2026-04-05 19/950 2026-04-07 22:04 by lijunpoly
[¿¼ÑÐ] 287·ÖÇóµ÷¼Á ÓÐרÀû¹ú½±Ò»Ö¾Ô¸¹þ¹¤´ó085406 +6 °×Ò׳½ 2026-04-06 7/350 2026-04-06 22:46 by 875465
[¿¼ÑÐ] 362Çóµ÷¼ÁÒ»Ö¾Ô¸ÖйúʯÓÍ´óѧ +4 ÎÒÒª¿¼´ó 2026-04-06 6/300 2026-04-06 14:11 by Î޼ʵIJÝÔ­
[¿¼ÑÐ] ¼ÆËã»ú11408£¬286·ÖÇóµ÷¼Á +7 ľ×ÓÄî•„ 2026-04-05 7/350 2026-04-05 19:02 by chy09050039
[¿¼ÑÐ] 326Çóµ÷¼Á +3 ¹ËÈô¸¡Éú 2026-04-05 3/150 2026-04-05 18:32 by À¶ÔÆË¼Óê
[¿¼ÑÐ] ¿¼Ñе÷¼ÁÉúѰÕÒµ¼Ê¦ +3 ¹ËÕ°¿¼Ñа¡ 2026-04-05 3/150 2026-04-05 18:18 by à£à£à£0119
[¿¼ÑÐ] 313Çóµ÷¼Á +3 º£ÈÕº£ÈÕ 2026-04-04 3/150 2026-04-05 07:48 by 544594351
[¿¼ÑÐ] ²ÄÁϵ÷¼Á +18 Ò»ÑùYWY 2026-04-02 19/950 2026-04-04 22:14 by hemengdong
[¿¼ÑÐ] Çóµ÷¼Á +6 Ë·Ë·»° 2026-04-02 7/350 2026-04-04 19:16 by À¶ÔÆË¼Óê
[¿¼ÑÐ] 272Çóµ÷¼Á +4 Ëɰس£Çà5 2026-04-03 4/200 2026-04-04 17:03 by babysonlkd
[¿¼ÑÐ] 334Çóµ÷¼Á +8 ÔøÑöÖ® 2026-04-03 8/400 2026-04-04 11:16 by w_xuqing
[¿¼ÑÐ] 320µ÷¼Á +4 ũҵ¹¤³ÌÓëÐÅÏ¢¼ 2026-04-03 4/200 2026-04-03 21:40 by lbsjt
[¿¼ÑÐ] Çóµ÷¼Á»ú»á +5 ÒâȾivy 2026-04-03 5/250 2026-04-03 15:13 by qoooooo614
[¿¼ÑÐ] 085501Ò»Ö¾Ô¸Ì칤´ó£¬»úеר˶Çóµ÷¼Á£¬¿ç²ÄÁÏ +3 33ÉÏ 2026-04-03 3/150 2026-04-03 14:08 by 1753564080
[¿¼ÑÐ] Ò»Ö¾Ô¸Éî´ó085601²ÄÁϹ¤³Ìרҵ£¨×¨Ë¶£©300·Ö¿ÉÒÔµ÷¼ÁÈ¥ÄÄ +8 10160315 2026-04-02 8/400 2026-04-03 09:36 by hypershenger
[¿¼ÑÐ] 275ѧ˶081000·þ´Óµ÷¼Áµ½ÆäËûרҵ£¬±£²»×¡±¾×¨ÒµÁË +7 һֻССˮţ 2026-04-02 8/400 2026-04-02 14:23 by alice-2022
[¿¼ÑÐ] 261ÇóBÇøµ÷¼Á +5 Ã÷×С¤ 2026-04-01 7/350 2026-04-02 11:17 by ×Þξξ
[˶²©¼ÒÔ°] ¿¼Ñе÷¼Á +5 ÂæÍÕÄÐÈË 2026-04-01 5/250 2026-04-01 14:28 by syjjj0321
ÐÅÏ¢Ìáʾ
ÇëÌî´¦ÀíÒâ¼û