The role of advection in a two-species competition model : a bifurcation approach /
Averill, Isabel, 1982-
The role of advection in a two-species competition model : a bifurcation approach / Isabel Averill, King-Yeung Lam, Yuan Lou. - v, 106 pages : illustrations ; 26 cm. - Memoirs of the American Mathematical Society, volume 245, number 1161 0065-9266 ; . - Memoirs of the American Mathematical Society ; no. 1161. .
"Volume 245, number 1161 (sixth of 6 numbers), January 2017."
Includes bibliographical references (pages 101-106).
Chapter 1. Introduction: The role of advection Chapter 2. Summary of main results Chapter 3. Preliminaries Chapter 4. Coexistence and classification of $\mu $-$
u $ plane Chapter 5. Results in $\mathcal R_1$: Proof of Theorem 2.10 Chapter 6. Results in $\mathcal R_2$: Proof of Theorem 2.11 Chapter 7. Results in $\mathcal R_3$: Proof of Theorem 2.12 Chapter 8. Summary of asymptotic behaviors of $\eta _*$ and $\eta ^*$ Chapter 9. Structure of positive steady states via Lyapunov-Schmidt procedure Chapter 10. Non-convex domains Chapter 11. Global bifurcation results Chapter 12. Discussion and future directions Appendix A. Asymptotic behavior of $\tilde u$ and $\lambda _u$ Appendix B. Limit eigenvalue problems as $\mu ,
u \to 0$ Appendix C. Limiting eigenvalue problem as $\mu \to \infty $
9781470422028 1470422026
2016053216
Scalar field theory.
Bifurcation theory.
Differential equations, Partial.
515/.63
The role of advection in a two-species competition model : a bifurcation approach / Isabel Averill, King-Yeung Lam, Yuan Lou. - v, 106 pages : illustrations ; 26 cm. - Memoirs of the American Mathematical Society, volume 245, number 1161 0065-9266 ; . - Memoirs of the American Mathematical Society ; no. 1161. .
"Volume 245, number 1161 (sixth of 6 numbers), January 2017."
Includes bibliographical references (pages 101-106).
Chapter 1. Introduction: The role of advection Chapter 2. Summary of main results Chapter 3. Preliminaries Chapter 4. Coexistence and classification of $\mu $-$
u $ plane Chapter 5. Results in $\mathcal R_1$: Proof of Theorem 2.10 Chapter 6. Results in $\mathcal R_2$: Proof of Theorem 2.11 Chapter 7. Results in $\mathcal R_3$: Proof of Theorem 2.12 Chapter 8. Summary of asymptotic behaviors of $\eta _*$ and $\eta ^*$ Chapter 9. Structure of positive steady states via Lyapunov-Schmidt procedure Chapter 10. Non-convex domains Chapter 11. Global bifurcation results Chapter 12. Discussion and future directions Appendix A. Asymptotic behavior of $\tilde u$ and $\lambda _u$ Appendix B. Limit eigenvalue problems as $\mu ,
u \to 0$ Appendix C. Limiting eigenvalue problem as $\mu \to \infty $
9781470422028 1470422026
2016053216
Scalar field theory.
Bifurcation theory.
Differential equations, Partial.
515/.63