We consider a 3-component Lotka-Volterra model with diffusion which describes the dynamics of the population of two competing prey and one predator, and we discuss the existence of positive stationary solutions and their stability property. To do this, the singular perturbation method and the associ
Structure of a 3-component polyelectrolyte solution model with dimerizing counterions and coions
β Scribed by Yu.V. Kalyuzhnyi; M.Yu. Druchok
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 298 KB
- Volume
- 92
- Category
- Article
- ISSN
- 0167-7322
No coin nor oath required. For personal study only.
β¦ Synopsis
The effect of dimerization between counterions and/or coions on the structure of the three-component primitive model of polyelectrolyte solution is studied using the integral equation technique for associating fluids. The three-component system contains large and highly charged macroions, intermediate size and charge coions and small monovalent couuterions. In addition to the Coulomb forces, the counterions and coions also interact via short-range directional attractive forces which cause the formation of the dimers. It is demonstrated that dimerization effects are primarily of electrostatic origin and can be seen at lower concentrations. For the higher concentration regime, dimerization of the coions does not appreciably change correlation between the particles. In particular, the depletion interaction between the macroions, which is of packing origin, is not effected by the dimerization of the coions. The effect of the macroionic charge on the dimerization of the counterions is also studied. It is shown, that the increase of the macroionic charge causes the dimerization process to be more intensive.
π SIMILAR VOLUMES
## Communicated by M. Grinfeld A single population growth model with stage-structured and state-dependent impulsive control is proposed. By using the PoincarΓ© map and the analogue of PoincarΓ©'s criterion, we prove the existence and the stability of positive order-1 or order-2 periodic solution. Mo