The stability of bifurcating steady states for a spatially heterogeneous cooperative system with cross-diffusion
Abstract This paper investigates the stability of bifurcating steady states of a spatially heterogeneous cooperative system with cross-diffusion. According to the spectral analysis and the principle of exchange of stability, we show that the bifurcating steady states are stable.
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-01-01
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| Series: | Advances in Difference Equations |
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| Online Access: | http://link.springer.com/article/10.1186/s13662-018-1477-2 |
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Article |
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doaj-ab12c9b1f85947d4ada44e201b80e9e32020-11-24T22:01:05ZengSpringerOpenAdvances in Difference Equations1687-18472018-01-012018111510.1186/s13662-018-1477-2The stability of bifurcating steady states for a spatially heterogeneous cooperative system with cross-diffusionQian Xu0Guangping Chang1Department of Basic Courses, Beijing Union UniversityDepartment of Basic Courses, Beijing Union UniversityAbstract This paper investigates the stability of bifurcating steady states of a spatially heterogeneous cooperative system with cross-diffusion. According to the spectral analysis and the principle of exchange of stability, we show that the bifurcating steady states are stable.http://link.springer.com/article/10.1186/s13662-018-1477-2spectral analysisstability |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Qian Xu Guangping Chang |
| spellingShingle |
Qian Xu Guangping Chang The stability of bifurcating steady states for a spatially heterogeneous cooperative system with cross-diffusion Advances in Difference Equations spectral analysis stability |
| author_facet |
Qian Xu Guangping Chang |
| author_sort |
Qian Xu |
| title |
The stability of bifurcating steady states for a spatially heterogeneous cooperative system with cross-diffusion |
| title_short |
The stability of bifurcating steady states for a spatially heterogeneous cooperative system with cross-diffusion |
| title_full |
The stability of bifurcating steady states for a spatially heterogeneous cooperative system with cross-diffusion |
| title_fullStr |
The stability of bifurcating steady states for a spatially heterogeneous cooperative system with cross-diffusion |
| title_full_unstemmed |
The stability of bifurcating steady states for a spatially heterogeneous cooperative system with cross-diffusion |
| title_sort |
stability of bifurcating steady states for a spatially heterogeneous cooperative system with cross-diffusion |
| publisher |
SpringerOpen |
| series |
Advances in Difference Equations |
| issn |
1687-1847 |
| publishDate |
2018-01-01 |
| description |
Abstract This paper investigates the stability of bifurcating steady states of a spatially heterogeneous cooperative system with cross-diffusion. According to the spectral analysis and the principle of exchange of stability, we show that the bifurcating steady states are stable. |
| topic |
spectral analysis stability |
| url |
http://link.springer.com/article/10.1186/s13662-018-1477-2 |
| work_keys_str_mv |
AT qianxu thestabilityofbifurcatingsteadystatesforaspatiallyheterogeneouscooperativesystemwithcrossdiffusion AT guangpingchang thestabilityofbifurcatingsteadystatesforaspatiallyheterogeneouscooperativesystemwithcrossdiffusion AT qianxu stabilityofbifurcatingsteadystatesforaspatiallyheterogeneouscooperativesystemwithcrossdiffusion AT guangpingchang stabilityofbifurcatingsteadystatesforaspatiallyheterogeneouscooperativesystemwithcrossdiffusion |
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1725841690032340992 |