Abstract
In this paper, we discuss the asymptotic behavior of a size-structured juvenile-adult population equation with resource-dependent and delayed birth process. The linearization about stationary solutions is analyzed by using semigroup and spectral methods. The juvenile-adult interaction, resourcedependent and delayed boundary condition are considered deliberately for the system to investigate their inuences on the asymptotic behavior of solutions. We obtain the stability and instability of the stationary solutions by given some biologically meaningful conditions in two important cases. Finally, two examples are presented and simulated to illustrate the obtained results.
| Original language | English |
|---|---|
| Pages (from-to) | 391-417 |
| Number of pages | 27 |
| Journal | Discrete and Continuous Dynamical Systems - Series B |
| Volume | 19 |
| Issue number | 2 |
| DOIs | |
| State | Published - Mar 2014 |
Keywords
- C -semigroup
- Delayed boundary condition
- Population model
- Size-structured
- Stability