Dynamics of a Reaction-Diffusion Benthic-Drift Model with Strong Allee Effect Growth
作者： Junping Shi , Yan Wang
DOI:
关键词:
摘要: The dynamics of a reaction-diffusion-advection benthic-drift population model that links changes in the flow regime and habitat availability with is studied. In model, stream divided into drift zone benthic zone, two interacting compartments, individuals residing dispersing zone. growth assumed to be strong Allee effect type. influence speed individual transfer rates between zones on persistence extinction considered, criteria or are formulated proved.
arxiv.org参考文章(47)
C. V. Pao, Nonlinear Parabolic and Elliptic Equations ,(1993)
Daniel Bauman Henry, Geometric Theory of Semilinear Parabolic Equations ,(1981)
Wendi Wang, Xiao-Qiang Zhao, Basic Reproduction Numbers for Reaction-Diffusion Epidemic Models Siam Journal on Applied Dynamical Systems. ,vol. 11, pp. 1652- 1673 ,(2012) , 10.1137/120872942
Pierre Magal, Xiao-Qiang Zhao, Global Attractors and Steady States for Uniformly Persistent Dynamical Systems SIAM Journal on Mathematical Analysis. ,vol. 37, pp. 251- 275 ,(2005) , 10.1137/S0036141003439173
Yuan Lou, Peng Zhou, Evolution of dispersal in advective homogeneous environment: The effect of boundary conditions Journal of Differential Equations. ,vol. 259, pp. 141- 171 ,(2015) , 10.1016/J.JDE.2015.02.004
D.L. DeAngelis, M. Loreau, D. Neergaard, P.J. Mulholland, E.R. Marzolf, Modelling nutrient-periphyton dynamics in streams: the importance of transient storage zones Ecological Modelling. ,vol. 80, pp. 149- 160 ,(1995) , 10.1016/0304-3800(94)00066-Q
Sze-Bi Hsu, Yuan Lou, Single Phytoplankton Species Growth with Light and Advection in a Water Column Siam Journal on Applied Mathematics. ,vol. 70, pp. 2942- 2974 ,(2010) , 10.1137/100782358
King-Yeung Lam, Yuan Lou, Frithjof Lutscher, Evolution of dispersal in closed advective environments Journal of Biological Dynamics. ,vol. 9, pp. 188- 212 ,(2015) , 10.1080/17513758.2014.969336
Junping Shi, Ratnasingham Shivaji, Persistence in reaction diffusion models with weak allee effect Journal of Mathematical Biology. ,vol. 52, pp. 807- 829 ,(2006) , 10.1007/S00285-006-0373-7