| DU Y, SHI J P. Some Recent Results on Diffusive Predator-Prey Models in Spatially Heterogeneous Environment[M]//BRUNNER H, ZHAO X Q, ZOU X F. Nonlinear Dynamics and Evolution Equations. New York: Springer, 2006. |
| VOLTERRA V. Fluctuations in the Abundance of a Species Considered Mathematically1[J]. Nature, 1926, 118(2972): 558-560. |
| BRAUER F, CASTILLO-CHAVEZ C. Mathematical Models in Population Biology and Epidemiology[M]. New York: Springer, 2012. |
| LEUNG A. Limiting Behaviour for a Prey-Predator Model with Diffusion and Crowding Effects[J]. Journal of Mathematical Biology, 1978, 6(1): 87-93. |
| FLAXMAN S M, LOU Y. Tracking Prey or Tracking the Prey's Resource? Mechanisms of Movement and Optimal Habitat Selection by Predators[J]. Journal of Theoretical Biology, 2009, 256(2): 187-200. |
| LOU Y, ZHOU P. Evolution of Dispersal in Advective Homogeneous Environment: The Effect of Boundary Conditions[J]. Journal of Differential Equations, 2015, 259(1): 141-171. |
| LAM K Y, LOU Y, LUTSCHER F. Evolution of Dispersal in Closed Advective Environments[J]. Journal of Biological Dynamics, 2015, 9(sup1): 188-212. |
| LOU Y, LUTSCHER F. Evolution of Dispersal in Open Advective Environments[J]. Journal of Mathematical Biology, 2014, 69(6-7): 1319-1342. |
| LUTSCHER F, LEWIS M A, MCCAULEY E. Effects of Heterogeneity on Spread and Persistence in Rivers[J]. Bulletin of Mathematical Biology, 2006, 68(8): 2129-2160. |
| CANTRELL R S, COSNER C. Spatial Ecology via Reaction-Diffusion Equations[M]. Chichester: Wiley, 2004. |
| SMOLLER J. Shock Waves and Reaction-Diffusion Equations[M]. New York: Springer, 1994. |
| WANG Y, SHI J P, WANG J F. Persistence and Extinction of Population in Reaction-Diffusion-Advection Model with Strong Allee Effect Growth[J]. Journal of Mathematical Biology, 2019, 78(7): 2093-2140. |
| SMITH H L, ZHAO X Q. Robust Persistence for Semidynamical Systems[J]. Nonlinear Analysis: Theory, Methods & Applications, 2001, 47(9): 6169-6179. |
| MAGAL P, ZHAO X Q. Global Attractors and Steady States for Uniformly Persistent Dynamical Systems[J]. SIAM Journal on Mathematical Analysis, 2005, 37(1): 251-275. |
| KREIN M G, RUTMAN M A. Linear Operators Leaving Invariant a Cone in Banach Space[J]. Uspekhi Mat Nauk, 1962, 10(1): 3-95. |