| Autor: |
Wan-Tong Li, Yu-Xia Wang, Jia-Fang Zhang |
| Jazyk: |
angličtina |
| Rok vydání: |
2012 |
| Předmět: |
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| Zdroj: |
Electronic Journal of Differential Equations, Vol 2012, Iss 223,, Pp 1-18 (2012) |
| Druh dokumentu: |
article |
| ISSN: |
1072-6691 |
| Popis: |
In the previous article [Y.-X. Wang and W.-T. Li, J. Differential Equations, 251 (2011) 1670-1695], the authors have shown that the set of positive stationary solutions of a cross-diffusive Lotka-Volterra cooperative system can form an unbounded fish-hook shaped branch $Gamma_p$. In the present paper, we will show some criteria for the stability of positive stationary solutions on $Gamma_p$. Our results assert that if $d_1/d_2$ is small enough, then unstable positive stationary solutions bifurcate from semitrivial solutions, the stability changes only at every turning point of $Gamma_p$ and no Hopf bifurcation occurs. While as $d_1/d_2$ becomes large, the stability has a drastic change when $mu |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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