دورية أكاديمية
Turing–Hopf Bifurcation Analysis in a Diffusive Ratio-Dependent Predator–Prey Model with Allee Effect and Predator Harvesting
| العنوان: | Turing–Hopf Bifurcation Analysis in a Diffusive Ratio-Dependent Predator–Prey Model with Allee Effect and Predator Harvesting |
|---|---|
| المؤلفون: | Meiyao Chen, Yingting Xu, Jiantao Zhao, Xin Wei |
| المصدر: | Entropy, Vol 26, Iss 1, p 18 (2023) |
| بيانات النشر: | MDPI AG, 2023. |
| سنة النشر: | 2023 |
| المجموعة: | LCC:Science LCC:Astrophysics LCC:Physics |
| مصطلحات موضوعية: | Turing–Hopf bifurcation, stability, diffusion, predator–prey model, harvesting rate, Science, Astrophysics, QB460-466, Physics, QC1-999 |
| الوصف: | This paper investigates the complex dynamics of a ratio-dependent predator–prey model incorporating the Allee effect in prey and predator harvesting. To explore the joint effect of the harvesting effort and diffusion on the dynamics of the system, we perform the following analyses: (a) The stability of non-negative constant steady states; (b) The sufficient conditions for the occurrence of a Hopf bifurcation, Turing bifurcation, and Turing–Hopf bifurcation; (c) The derivation of the normal form near the Turing–Hopf singularity. Moreover, we provide numerical simulations to illustrate the theoretical results. The results demonstrate that the small change in harvesting effort and the ratio of the diffusion coefficients will destabilize the constant steady states and lead to the complex spatiotemporal behaviors, including homogeneous and inhomogeneous periodic solutions and nonconstant steady states. Moreover, the numerical simulations coincide with our theoretical results. |
| نوع الوثيقة: | article |
| وصف الملف: | electronic resource |
| اللغة: | English |
| تدمد: | 1099-4300 |
| Relation: | https://www.mdpi.com/1099-4300/26/1/18; https://doaj.org/toc/1099-4300 |
| DOI: | 10.3390/e26010018 |
| URL الوصول: | https://doaj.org/article/b58e3c1a92844ee8a44086d774ba8b10 |
| رقم الأكسشن: | edsdoj.b58e3c1a92844ee8a44086d774ba8b10 |
| قاعدة البيانات: | Directory of Open Access Journals |
Full Text Finder | تدمد: | 10994300 |
|---|---|
| DOI: | 10.3390/e26010018 |