Znn3bq.jpeg
²é¿´: 1238  |  »Ø¸´: 13
µ±Ç°Ö÷ÌâÒѾ­´æµµ¡£
µ±Ç°Ö»ÏÔʾÂú×ãÖ¸¶¨Ìõ¼þµÄ»ØÌû£¬µã»÷ÕâÀï²é¿´±¾»°ÌâµÄËùÓлØÌû

¿ñ·ç1981

ľ³æ (ÖøÃûдÊÖ)

åÐÒ£Á÷

[½»Á÷] Minor Revision£¬µ«»¹ÊÇÓÐЩ²»Ã÷°×,Ïò¸÷λ³æ³æÇë½Ì

Required Reviews Completed Ê®ÎåÌì
........................................................................................................

½ñÌìÖÕÓÚÊÕµ½Òâ¼ûÁË£¬Ð¡ÐÞ£¬µ«»¹ÊÇÓÐЩµØ·½²»Ã÷°×£¬ÒòΪÊǵÚһƪÎÄÕÂ×Ô¼ºÇ×ÊÖµÄÎÄÕ£¬ºÜ½ôÕŰ¡£¬»¹µÃÏò¸÷λ³æ³æÇë½Ì£¿

ÕâÊÇÖ÷±à¸øÎҵĻØÐÅ£¬¸½Á˵ÚÒ»¸öreviewerµÄÒâ¼û£º

Dear Mr. Wu ,

I have now received the referees' reports on your paper, from which you will see that, although they are broadly supportive of publication, this is conditional on your addressing the criticisms they have made.

Please carefully address the issues raised in the comments.
If you are submitting a revised manuscript, please also:
a) outline each change made (point by point) as raised in the reviewer comments   
  AND/OR
b) provide a suitable rebuttal to each reviewer comment not addressed

To submit your revision, please do the following:
1. Go to: http://ees.elsevier.com/apm/
2. Enter your login details
3. Click [Author Login]
This takes you to the Author Main Menu.
4. Click [Submissions Needing Revision]

I look forward to receiving your revised manuscript.

Yours sincerely,

M. Cross
Editor
Applied Mathematical Modelling

Reviewers' comments:

Reviewer #1:
page 1:
The idea of invasion-speed calculations: see also Daniels75,
Mollison72, and the initial work of Fisher and Kolmogorov.
page 2:
The reproduction kernel postulates instantaneous dispersal
between locations.  For a discussion of similar scalar
models see Medlock and Kot, 2003.  
page 3:
In this model (1.3), the delay is equivalent to
age-structure, which probably has been studied previously in
this context.  Implicit use, for instance, is made in Reluga
et al 06.

The connection between the model and epidemic spread is
tenuous.  There is no obvious reason why infected
individuals would spontaneously transmit a disease to
a new location on time scales faster than the diffusion rate
d while still requiring infected individuals to stay in one
place.  Additionally, as you point out, the assumption that
g() is independent of u_2 is only valid early in an epidemic
when susceptible population size is unaffected, and it's not
clear exactly when epidemiology mechanisms are implied by
the current form of g().  However, there may be other
biological situations where this invasion model is useful,
so the results are still valuable.  For now, either downplay
the epidemiology connection or provide a justification from
first-principles for a specific disease.

paragraph 2, "the the" -> "the"

section 2, in the definition of c*, you need a localized
initial condition, and it's probably better to only require
u(t,x) \geq \hat{u} rather than strict equality since some
models exhibit oscillations or unbounded growth.

page 4: define quasi-monotone in this context.
I found the order of the calculations used to reach eq 2.9
a little confusing.  The k's, for instance, were introduced
too soon.

Please provide a reference for the origin of the ideas used
to reach 2.13

page 8, line -2: sentence is confusing
page 9, line 4 "an decreasing" -> a decreasing

----------- References -------------------

title={The Deterministic Spread of a Simple Epidemic},
author={H. E. Daniels},
booktitle={Perspectives in Probability and Statistics :
Papers in Honour of {M. S. Bartlett} on the Occasion of his
Sixty-Fifth Birthday},
editor={J. Gani},
publisher={Academic Press},
address={London},
year=1975,
pages={373-386},
     
author = {D. Mollison},
title = {The rate of spatial propagation of simple epidemics},
booktitle = {Proceedings of the 6th Berkeley Symposium on
Mathematical Statistics and Probability},
publisher = {University of California Press},
year = {1972},
volume = {3},
pages = {579-614},
address = {Berkeley, CA},

author = {R. A. Fisher},
title = {The wave of advance of advantageous genes},
journal = {Annals of Eugenics},
year = {1937},
volume = {7},
pages = {353-369},

author = {A. Komogorov and I. Petrovsky and N. Piscounoff},
title = {Etude de l'equation de la diffusion aved croissance de la quantite
de matiere et son application a un prbleme biologique},
journal = {Moscow University, Bulletin of Mathematics},
year = {1937},
volume = {1},
pages = {1-125},

title={A Model of Spatial Epidemic Spread When Individuals Move Within Overlapping Home Ranges},
author={T. Reluga and J. Medlock and A. Galvani},
journal={Bulletin of Mathematical Biology},
year=2006,
volume=68,
pages={401-416},

¿ÉÍøÉÏͶ¸åϵͳÀïÃæ¸½µÄÊÇÁíÒ»·ÝÐÞ¸ÄÒâ¼û£ºReport for"...".ÎÒÏÖÔڸ㲻¶®ÊDzÎÕÕÕâÁ½¸öÐ޸쬻¹Êǰ´Ö÷±àÐÅÖÐÌáµ½µÄÐ޸ģ¿ÁíÍ⣬ÎÒÊDz»ÊÇÖ»ÒªÔÚÎÄÕÂÖÐÐÞ¸ÄÉÏ´«¾Í¿ÉÒÔÁË£¬»¹ÊÇÐèÒªÖØÐ´Ò»·Ýcover letter,ÀïÃæ¶ÔreviewerµÄÒâ¼ûÖðÌõ˵Ã÷£¿

[ Last edited by ¿ñ·ç1981 on 2008-7-17 at 21:33 ]
»Ø¸´´ËÂ¥

» ²ÂÄãϲ»¶

ΪʲôÎÒµÄÑÛÀï×ܱ¥º¬×ÅÀáË®£¬ÄÇÊÇÒòΪÎÒ¶ÔÕâÆ¬ÍÁµØ°®µÃÉî³Á~
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

¿ñ·ç1981

ľ³æ (ÖøÃûдÊÖ)

åÐÒ£Á÷

Ïò¸÷λ³æ³æÇë½Ì°¡

[ Last edited by ¿ñ·ç1981 on 2008-7-16 at 11:25 ]
ΪʲôÎÒµÄÑÛÀï×ܱ¥º¬×ÅÀáË®£¬ÄÇÊÇÒòΪÎÒ¶ÔÕâÆ¬ÍÁµØ°®µÃÉî³Á~
11Â¥2008-07-16 10:12:55
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû
²é¿´È«²¿ 14 ¸ö»Ø´ð

woodysummer

ľ³æ (ÕýʽдÊÖ)

ÊǺõÄã10ÌìµÄʱºò·¢¹ýÌû×Ó¡£Ò»°ãÒ»ÖÜÄÚ¾ÍÓ¦¸Ã´¦ÀíÀ­£¬¸Ð¾õ±à¼­ÊDz»Êdzö²îÀ­

Ó¦¸Ã¿ÉÒÔ·¢·ÝÓʼþ¸ø±à¼­°É£¬ËµÄãµÄÕâ¸ö״̬ÊÇÔõô»ØÊ°¡£¬ÄãÊǶàô¼±ÇÐÏëÖªµÀÉó¸åÒâ¼û°¡£¬µÈµÈ¡£»òÕßÂíÉÏÄã¾ÍÒª¶È¼ÙÀ­£¬ºÇºÇ
±ØÒª±ÆËý£¬¾ÍÊÇ˵˵×Ô¼º×ż±¡£ÊÔÊÔ
2Â¥2008-07-14 12:23:16
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

zhangweibao

ľ³æ (Ö°Òµ×÷¼Ò)

ÎÒÐÄÒÀ¾É

×îºÃ±ðÎÊ,Îʵϰ±»¾ÜµÄ¼¸ÂʺܴóºÜ´óµÄ
ÃüÀïÓÐʱÖÕÐëÓУ¬ÃüÀïÎÞʱĪǿÇó
3Â¥2008-07-14 13:25:44
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

niudongfang

½ð³æ (СÓÐÃûÆø)

¶ÔµÄ£¬¹À¼ÆÄãµÄÊÇÉó¸åÈËÒâ¼ûÏà×󣬱༭ÏÖÔÚÄò»¶¨Ö÷ÒâÄØ£¬ÄãÕýºÃÒ»´ß£¬¹þ¹þ£¬ÓÐÖ÷ÒâÁË£¡
4Â¥2008-07-14 13:48:24
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû
×î¾ßÈËÆøÈÈÌûÍÆ¼ö [²é¿´È«²¿] ×÷Õß »Ø/¿´ ×îºó·¢±í
[¿¼ÑÐ] 22ר˶Çóµ÷¼Á +10 haoyunÉϰ¶ 2026-04-11 12/600 2026-04-16 22:21 by Öí»á·É
[¿¼ÑÐ] »¯Ñ§070300 Çóµ÷¼Á +28 ¹þ¹þ¹þ^_^ 2026-04-12 28/1400 2026-04-16 21:36 by ´óÁ¦Ë®ÊÖÁ¦´óÎÞÇ
[¿¼ÑÐ] 290Çóµ÷¼Á +23 luoziheng 2026-04-10 25/1250 2026-04-16 17:25 by ±ùÑ©Óö¼ûÖí
[¿¼²©] É격×Ô¼ö +3 LinxiaÁÖÏÄ 2026-04-13 3/150 2026-04-16 12:55 by Ä«ºÉ֮¶
[¿¼ÑÐ] Çóµ÷¼ÁѧУ +14 ²»»á³ÔÈâ 2026-04-13 16/800 2026-04-15 21:59 by noqvsozv
[¿¼ÑÐ] 085404 22408 309·ÖÇóµ÷¼Á +9 lzmk 2026-04-14 10/500 2026-04-15 20:02 by ѧԱJpLReM
[¿¼ÑÐ] ÉúÎïѧµ÷¼Á +9 Ö½ÉÈzhishan 2026-04-13 9/450 2026-04-15 18:28 by ANÁ÷800
[¿¼ÑÐ] 310Çóµ÷¼Á +16 666ÕæºÃ 2026-04-11 18/900 2026-04-15 13:28 by ºÚ¿Æ¼¼¿óÒµ
[¿¼ÑÐ] ¸÷λÀÏʦºÃ£¬Çóµ÷¼Á£¬±¾¿Æ211£¬Ò»Ö¾Ô¸Ìì½ò´óѧÉúÎïÓëҽҩѧ˶£¬²îÁ½Ãû¼ȡ¡£ +11 ·ÁùÁùjjj 2026-04-13 11/550 2026-04-14 16:01 by zs92450
[¿¼ÑÐ] 305Çóµ÷¼Á +8 Â꿨°Í¿¨boom 2026-04-11 8/400 2026-04-14 09:04 by pengliang8036
[¿¼ÑÐ] Ò»Ö¾Ô¸¹þ¹¤´ó 085600 277 12²Ä¿Æ»ùÇóµ÷¼Á 5+5 chenny174 2026-04-10 37/1850 2026-04-14 07:39 by Abskk
[¿¼ÑÐ] ÉúÎïѧµ÷¼Á +11 СȽҪŬÁ¦ 2026-04-10 13/650 2026-04-13 11:46 by µç»¯Ñ§¼°´ß»¯
[¿¼ÑÐ] 0831Ò»ÂÖµ÷¼Áʧ°ÜÇóÖú +10 СÐÜî£î£_s 2026-04-11 10/500 2026-04-12 22:43 by ³¤¹­°Á
[¿¼ÑÐ] 339Çóµ÷¼Á +8 hanwudada 2026-04-11 9/450 2026-04-12 15:36 by laoshidan
[¿¼ÑÐ] µ÷¼ÁÇóÖú +6 ¹ûÈ»ÓÐÎÒ 2026-04-11 7/350 2026-04-11 16:22 by Ã÷Ô´ËʱÓÐ
[¿¼ÑÐ] ũѧ0904 312Çóµ÷¼Á +6 Say Never 2026-04-10 6/300 2026-04-11 10:33 by wwj2530616
[¿¼ÑÐ] Ò»Ö¾Ô¸985»úеѧ˶380Çóµ÷¼Á +5 ¹Ø¹ØöÂð¯10 2026-04-11 5/250 2026-04-11 10:10 by ÖªÄî¡£A
[¿¼ÑÐ] ±¾¿Æ211 ¹¤¿Æ085400 280·ÖÇóµ÷¼Á ¿É¿çרҵ +11 LZH£¨µÈ´ýµ÷¼ÁÖÐ 2026-04-10 11/550 2026-04-11 08:39 by zhq0425
[¿¼ÑÐ] ³õÊÔ261 +3 AshtÉÙ 2026-04-10 6/300 2026-04-10 16:38 by AshtÉÙ
[¿¼ÑÐ] »úеר368 ÓÐÈ¥´¦Âð +4 ÖÖ´óÊ÷ 2026-04-10 4/200 2026-04-10 15:31 by jiajinhpu
ÐÅÏ¢Ìáʾ
ÇëÌî´¦ÀíÒâ¼û