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Stability and Bifurcation Analysis of a Commensal Model with Allee Effect and Herd Behavior
| Indexado |
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| DOI | 10.1142/S0218127422502170 | ||||
| Año | 2022 | ||||
| Tipo | artículo de investigación |
Citas Totales
Autores Afiliación Chile
Instituciones Chile
% Participación
Internacional
Autores
Afiliación Extranjera
Instituciones
Extranjeras
Abstract
In this paper, we study a commensal model with Allee effect and herd behavior. Firstly, the stability of all possible equilibria are investigated. Secondly, using the Sotomayor's theorem, we prove the existence of saddle-node bifurcation and pitchfork bifurcation. Finally, all the theoretical predictions on the bifurcation are verified by numerical simulations.
| Ord. | Autor | Género | Institución - País |
|---|---|---|---|
| 1 | Cai, Junning | - |
Zhejiang Normal Univ - China
Guangxi Univ Finance & Econ - China Guangxi Key Lab Big Data Finance & Econ - China Guangxi University of Finance and Economics - China Guangxi College of Finance and Economics - China Zhejiang Normal University - China |
| 2 | PINTO-CONTRERAS, MANUEL ENRIQUE | Hombre |
Universidad de Chile - Chile
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| 3 | Xia, Yonghui | - |
Zhejiang Normal Univ - China
Zhejiang Normal University - China |
| Fuente |
|---|
| FONDECYT |
| National Natural Science Foundation of China |
| Grant FONDECYT |
| NNSFC |
| Guangxi First-class Discipline Statistics Construction Project Fund, Guangxi Key Laboratory of Big Data in Finance and Economics and Guangxi Colleges |
| Universities Key Laboratory of Quantitative Economics |
| Fondecyt 038-2021-Perú, Guangxi First-class Discipline Statistics Construction Project Fund |
| Guangxi Key Laboratory of Big Data in Finance and Economics and Guangxi Colleges |
| Agradecimiento |
|---|
| This work was jointly supported by NNSFC 11931016, Grant Fondecyt (No. 1170466), Fondecyt 038-2021-Peru, Guangxi First-class Discipline Statistics Construction Project Fund, Guangxi Key Laboratory of Big Data in Finance and Economics and Guangxi Colleges, Universities Key Laboratory of Quantitative Economics. |
| This work was jointly supported by NNSFC 11931016, Grant Fondecyt (No. 1170466), Fondecyt 038-2021-Perú, Guangxi First-class Discipline Statistics Construction Project Fund, Guangxi Key Laboratory of Big Data in Finance and Economics and Guangxi Colleges, Universities Key Laboratory of Quantitative Economics. † |
