کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
838076 | 908354 | 2011 | 13 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Competing through altering the environment: A cross-diffusion population model coupled to transport–Darcy flow equations Competing through altering the environment: A cross-diffusion population model coupled to transport–Darcy flow equations](/preview/png/838076.png)
We consider an evolution model describing the spatial population distribution of two salt tolerant plant species, such as mangroves, which are affected by inter- and intra-specific competition (Lotka–Volterra), population pressure (cross-diffusion) and environmental heterogeneity (environmental potential). The environmental potential and the Lotka–Volterra terms are assumed to depend on the salt concentration in the root region, which may change as a result of mangroves’ ability to uptake fresh water and leave the salt of the solution behind, in the saturated porous medium. Consequently, partial differential equations modelling the population dynamics on the surface are coupled with Darcy–transport equations modelling the salt and pressure-velocity distribution in the subsurface. We prove the existence of weak solutions of the coupled problem and provide a numerical discretization based on a stabilized mixed finite element method, which we use to numerically demonstrate the behaviour of the system.
Journal: Nonlinear Analysis: Real World Applications - Volume 12, Issue 5, October 2011, Pages 2826–2838