A Hopf Bifurcation in a Three-Component Reaction-Diffusion System with a Chemoattraction
We consider a three-component reaction-diffusion system with a chemoattraction. The purpose of this work is to analyze the chemotactic effects due to the gradient of the chemotactic sensitivity and the shape of the interface. Conditions for existence of stationary solutions and the Hopf bifurcation...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/830386 |
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| _version_ | 1832556488590098432 |
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| author | YoonMee Ham Sang-Gu Lee Quoc Phong Vu |
| author_facet | YoonMee Ham Sang-Gu Lee Quoc Phong Vu |
| author_sort | YoonMee Ham |
| collection | DOAJ |
| description | We consider a three-component reaction-diffusion system with a chemoattraction. The purpose of this work is to analyze the chemotactic effects due to the gradient of the chemotactic sensitivity and the shape of the interface. Conditions for existence of stationary solutions and the Hopf bifurcation in the interfacial problem as the bifurcation parameters vary are obtained analytically. |
| format | Article |
| id | doaj-art-a1a680ecea47419aa9ba9c327736110d |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-a1a680ecea47419aa9ba9c327736110d2025-02-03T05:45:17ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/830386830386A Hopf Bifurcation in a Three-Component Reaction-Diffusion System with a ChemoattractionYoonMee Ham0Sang-Gu Lee1Quoc Phong Vu2Department of Mathematics, Kyonggi University, Suwon 443-760, Republic of KoreaDepartment of Mathematics, Sungkyunkwan University, Suwon 440-746, Republic of KoreaDepartment of Mathematics, Ohio University, Athens, OH 45701, USAWe consider a three-component reaction-diffusion system with a chemoattraction. The purpose of this work is to analyze the chemotactic effects due to the gradient of the chemotactic sensitivity and the shape of the interface. Conditions for existence of stationary solutions and the Hopf bifurcation in the interfacial problem as the bifurcation parameters vary are obtained analytically.http://dx.doi.org/10.1155/2013/830386 |
| spellingShingle | YoonMee Ham Sang-Gu Lee Quoc Phong Vu A Hopf Bifurcation in a Three-Component Reaction-Diffusion System with a Chemoattraction Abstract and Applied Analysis |
| title | A Hopf Bifurcation in a Three-Component Reaction-Diffusion System with a Chemoattraction |
| title_full | A Hopf Bifurcation in a Three-Component Reaction-Diffusion System with a Chemoattraction |
| title_fullStr | A Hopf Bifurcation in a Three-Component Reaction-Diffusion System with a Chemoattraction |
| title_full_unstemmed | A Hopf Bifurcation in a Three-Component Reaction-Diffusion System with a Chemoattraction |
| title_short | A Hopf Bifurcation in a Three-Component Reaction-Diffusion System with a Chemoattraction |
| title_sort | hopf bifurcation in a three component reaction diffusion system with a chemoattraction |
| url | http://dx.doi.org/10.1155/2013/830386 |
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