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Minimal Wave Speed of Bacterial Colony Model with Saturated Functional Response
Joint Authors
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-31
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
By considering bacterium death and general functional response we develop previous model of bacterial colony which focused on the traveling speed of bacteria.
The minimal wave speed for our model is expressed by parameters and the necessary and sufficient conditions for traveling wave solutions (TWSs) are given.
To prove the existence of TWSs, an auxiliary system is introduced and the existence of TWSs for this auxiliary system is proved by Schauder’s fixed point theorem.
The limit arguments show the existence of TWSs for original system.
By introducing negative one-sided Laplace transform, we prove the nonexistence of TWSs.
American Psychological Association (APA)
Zhang, Tianran& Gou, Qingming. 2014. Minimal Wave Speed of Bacterial Colony Model with Saturated Functional Response. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1014128
Modern Language Association (MLA)
Zhang, Tianran& Gou, Qingming. Minimal Wave Speed of Bacterial Colony Model with Saturated Functional Response. Abstract and Applied Analysis No. 2014 (2014), pp.1-9.
https://search.emarefa.net/detail/BIM-1014128
American Medical Association (AMA)
Zhang, Tianran& Gou, Qingming. Minimal Wave Speed of Bacterial Colony Model with Saturated Functional Response. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1014128
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1014128