Modelling Population Growth with Delayed Nonlocal Reaction in 2-Dimensions
In this paper, we consider the population growth of a single speciesliving in a two-dimensional spatial domain. New reaction-diffusionequation models with delayed nonlocal reaction are developed intwo-dimensional bounded domains combining different boundary conditions.The important feature of the mo...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2004-10-01
|
| Series: | Mathematical Biosciences and Engineering |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2005.2.111 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: | In this paper, we consider the population growth of a single speciesliving in a two-dimensional spatial domain. New reaction-diffusionequation models with delayed nonlocal reaction are developed intwo-dimensional bounded domains combining different boundary conditions.The important feature of the models is the reflection of the jointeffect of the diffusion dynamics and the nonlocal maturation delayed effect.We consider and analyze numerical solutions of the mature populationdynamics with some well-known birth functions. In particular,we observe and study the occurrences of asymptotically stablesteady state solutionsand periodic waves for the two-dimensional problems withnonlocal delayed reaction. We also investigate numerically theeffects of various parameters on the period, the peak and the shape ofthe periodic wave as well as the shape of the asymptoticallystable steady state solution. |
|---|---|
| ISSN: | 1551-0018 |