A Model for the Diffusion of Populations in Annular Patchy Environments
نویسنده
چکیده
A system of reaction-diffusion differential equations is utilized to model the diffusion of a population through annular patches with different carrying capacities. In the case of continuous solutions with continuous flux, it is shown that a unique, positive steady-state solution exists. In the case of radially symmetric initial conditions, it is shown that all solutions of the Cauchy problem approach this steady-state solution. Models involving nonsymmetric initial conditions are also considered.
منابع مشابه
Introducing and Evaluating a New Model of Rotary Reactor in Nitrate Removal from Aqueous Environments by Electrocoagulation Method
Background & objectives: Nitrate contamination of drinking water is a common problem in many parts of the world that poses a serious threat to public health and environment. In this research, the performance of a new rotary electrocoagulation reactor model for removal of nitrate in presence or absence of turbidity has been investigated. Methods: In this study, aluminum and iron electrodes were...
متن کاملThe simulation of novel annular shape on the Performance in Proton Exchange Membrane Fuel Cell
In this article, one-phase and three dimensional computational fluid dynamics analysis was utilized to investigate the effect of annular field pattern of proton exchange membrane fuel cells (PEMFC) with different geometry on the performances and species distribution. This computational fluid dynamics code is used for solving the equation in single domain namely the flow field, the mass conserva...
متن کاملMathematical modelling of an annular photocatalytic reactor for methylene blue degradation under UV light irradiation using rGO-ZnO hybrid
The application of heterogeneous photocatalysis in industrial scale has been hindered by a lack of simple mathematical models that can be easily applied to reactor design and scale-up. This work intends to use a simple mathematical model for predicting methylene blue (MB) degradation in a slurry-annular photocatalytic reactor using zinc oxide (ZnO) hybridized with reduced graphene oxide (rGO)-Z...
متن کاملNumerical investigation of upward air-water annular, slug and bubbly flow regimes
In this paper, numerical investigation of upward two phase flow of air-water has been studied. Different conditions of flow regimes including annular, wispy annular, slug, churn and bubbly are simulated based on Hewitt and Roberts map, and a good agreement between the experimental data of the map and the numerical simulation has been observed. Accordingly, a proper CFD model in CFD software of ...
متن کاملFrom individual behavior to metapopulation dynamics: unifying the patchy population and classic metapopulation models.
Spatially structured populations in patchy habitats show much variation in migration rate, from patchy populations in which individuals move repeatedly among habitat patches to classic metapopulations with infrequent migration among discrete populations. To establish a common framework for population dynamics in patchy habitats, we describe an individual-based model (IBM) involving a diffusion ...
متن کامل