Dynamics of a benthic-drift model for two competitive species

作者: Yu Jin , Feng-Bin Wang

DOI: 10.1016/J.JMAA.2017.12.050

关键词:

摘要: Abstract Population dynamics of multiple interactive species in rivers and streams is important river/stream ecology. In this paper, we consider a model for two competitive living river environment where the populations grow compete benthic zone disperse drifting water zone. We establish threshold conditions persistence extinction obtain existence positive steady state under conditions. also numerically investigate influences factors, such as advection rates, diffusion length, competition transfer spatial heterogeneity on species.

参考文章(24)
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
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, Julián López-Gómez, Linfeng Mei, Feng-Bin Wang, A pivotal eigenvalue problem in river ecology Journal of Differential Equations. ,vol. 259, pp. 2280- 2316 ,(2015) , 10.1016/J.JDE.2015.03.028
Hans F. Weinberger, Mark A. Lewis, Bingtuan Li, Analysis of linear determinacy for spread in cooperative models. Journal of Mathematical Biology. ,vol. 45, pp. 183- 218 ,(2002) , 10.1007/S002850200145
R. H. Martin, H. L. Smith, Abstract functional-differential equations and reaction-diffusion systems Transactions of the American Mathematical Society. ,vol. 321, pp. 1- 44 ,(1990) , 10.1090/S0002-9947-1990-0967316-X
Yu Jin, Frank M. Hilker, Peter M. Steffler, Mark A. Lewis, Seasonal invasion dynamics in a spatially heterogeneous river with fluctuating flows Bulletin of Mathematical Biology. ,vol. 76, pp. 1522- 1565 ,(2014) , 10.1007/S11538-014-9957-3
H. W. Mckenzie, Y. Jin, J. Jacobsen, M. A. Lewis, R0 Analysis of a Spatiotemporal Model for a Stream Population Siam Journal on Applied Dynamical Systems. ,vol. 11, pp. 567- 596 ,(2012) , 10.1137/100802189
Sze-Bi Hsu, Feng-Bin Wang, Xiao-Qiang Zhao, Dynamics of a Periodically Pulsed Bio-Reactor Model With a Hydraulic Storage Zone Journal of Dynamics and Differential Equations. ,vol. 23, pp. 817- 842 ,(2011) , 10.1007/S10884-011-9224-3