"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 $-$\nu $ 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 $\mu ,\nu \to 0$ Appendix C. Limiting eigenvalue problem as $\mu \to \infty $