Back to Search
Start Over
The diffusive intraguild predation model with intraspecific competition and double free boundaries.
- Source :
- Applicable Analysis; Dec 2021, Vol. 100 Issue 16, p3322-3349, 28p
- Publication Year :
- 2021
-
Abstract
- The purpose of this paper is to investigate a diffusive intraguild predation model with intraspecific competition and double free boundaries in one-dimensional space. By adapting existing techniques, we first prove the existence and uniqueness, regularity and uniform estimates of global solution. Then, in terms of parameters range, we show that a spreading-vanishing dichotomy for this free boundary problem. The long time behaviors of (R , N , P) and criteria for spreading and vanishing are also obtained. Additionally, when spreading happens, we propose an upper bound and a lower bound for the asymptotic spreading speeds of the free boundaries. Moreover, numerical simulations are provided to confirm our theoretical results. This paper is an improvement and extension of literatures [Zhang DW, Dai BX. A free boundary problem for the diffusive intraguild predation model with intraspecific competition. J Math Anal Appl. 2019;474:381–412; Zhang DW, Dai BX. Spreading and vanishing in a diffusive intraguild predation model with intraspecific competition and free boundary. Math Methods Appl Sci. 2019;42:6917–6943]. [ABSTRACT FROM AUTHOR]
- Subjects :
- COMPETITION (Biology)
PREDATION
COMPUTER simulation
Subjects
Details
- Language :
- English
- ISSN :
- 00036811
- Volume :
- 100
- Issue :
- 16
- Database :
- Complementary Index
- Journal :
- Applicable Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 153756061
- Full Text :
- https://doi.org/10.1080/00036811.2020.1716971