Instability Induced by Cross-Diffusion in a Predator-Prey Model with Sex Structure
In this paper, we consider a cross-diffusion predator-prey model with sex structure. We prove that cross-diffusion can destabilize a uniform positive equilibrium which is stable for the ODE system and for the weakly coupled reaction-diffusion system. As a result, we find that stationary patterns ari...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/240432 |
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| _version_ | 1832554881191247872 |
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| author | Shengmao Fu Lina Zhang |
| author_facet | Shengmao Fu Lina Zhang |
| author_sort | Shengmao Fu |
| collection | DOAJ |
| description | In this paper, we consider a cross-diffusion predator-prey model with sex structure. We prove that cross-diffusion can destabilize a uniform positive equilibrium which is stable for the ODE system and for the weakly coupled reaction-diffusion system. As a result, we find that stationary patterns arise solely from the effect of cross-diffusion. |
| format | Article |
| id | doaj-art-a981e67844134344a710bf291148b37f |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-a981e67844134344a710bf291148b37f2025-02-03T05:50:16ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/240432240432Instability Induced by Cross-Diffusion in a Predator-Prey Model with Sex StructureShengmao Fu0Lina Zhang1Department of Mathematics, Northwest Normal University, Lanzhou 730070, ChinaDepartment of Mathematics, Northwest Normal University, Lanzhou 730070, ChinaIn this paper, we consider a cross-diffusion predator-prey model with sex structure. We prove that cross-diffusion can destabilize a uniform positive equilibrium which is stable for the ODE system and for the weakly coupled reaction-diffusion system. As a result, we find that stationary patterns arise solely from the effect of cross-diffusion.http://dx.doi.org/10.1155/2012/240432 |
| spellingShingle | Shengmao Fu Lina Zhang Instability Induced by Cross-Diffusion in a Predator-Prey Model with Sex Structure Journal of Applied Mathematics |
| title | Instability Induced by Cross-Diffusion in a Predator-Prey Model with Sex Structure |
| title_full | Instability Induced by Cross-Diffusion in a Predator-Prey Model with Sex Structure |
| title_fullStr | Instability Induced by Cross-Diffusion in a Predator-Prey Model with Sex Structure |
| title_full_unstemmed | Instability Induced by Cross-Diffusion in a Predator-Prey Model with Sex Structure |
| title_short | Instability Induced by Cross-Diffusion in a Predator-Prey Model with Sex Structure |
| title_sort | instability induced by cross diffusion in a predator prey model with sex structure |
| url | http://dx.doi.org/10.1155/2012/240432 |
| work_keys_str_mv | AT shengmaofu instabilityinducedbycrossdiffusioninapredatorpreymodelwithsexstructure AT linazhang instabilityinducedbycrossdiffusioninapredatorpreymodelwithsexstructure |