feasible generalized Liu estimator, least trimmed squares estimator, multicollinearity, outlier, semiparametric regression models
Considering the impact of fear levels, Allee effects and hunting cooperation factors on system stability, a Leslie-Gower predator-prey model was formulated. The existence, stability and bifurcation analysis of equilibrium points were studied by use of topological equivalence, characteristic equation...
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AIMS Press
2024-11-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.20241520?viewType=HTML |
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| author | Weili Kong Yuanfu Shao |
| author_facet | Weili Kong Yuanfu Shao |
| author_sort | Weili Kong |
| collection | DOAJ |
| description | Considering the impact of fear levels, Allee effects and hunting cooperation factors on system stability, a Leslie-Gower predator-prey model was formulated. The existence, stability and bifurcation analysis of equilibrium points were studied by use of topological equivalence, characteristic equations, Sotomayor's theorem, and bifurcation theory. The sufficient conditions of saddle-node, Hopf, and Bogdanov-Takens bifurcations were established, respectively. Numerically, the theoretical findings were validated and some complicated dynamical behaviors as periodic fluctuation and multi-stability were revealed. The parameter critical values of saddle-node, Hopf bifurcation, and Bogdanov-Takens bifurcations were established. Biologically, how these factors of fear, Allee effect, and hunting cooperation affect the existence of equilibria and jointly affect the system dynamics were analyzed. |
| format | Article |
| id | doaj-art-b7c056cc391e4613b444350f5ef7613d |
| institution | Kabale University |
| issn | 2473-6988 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj-art-b7c056cc391e4613b444350f5ef7613d2024-11-14T01:32:49ZengAIMS PressAIMS Mathematics2473-69882024-11-01911316073163510.3934/math.20241520feasible generalized Liu estimator, least trimmed squares estimator, multicollinearity, outlier, semiparametric regression modelsWeili Kong0Yuanfu Shao 11. College of Teacher Education, Qujing Normal University, Qujing, Yunnan 655011, China2. School of Mathematics and Statistics, Guilin University of Technology, Guilin, Guangxi 541004, ChinaConsidering the impact of fear levels, Allee effects and hunting cooperation factors on system stability, a Leslie-Gower predator-prey model was formulated. The existence, stability and bifurcation analysis of equilibrium points were studied by use of topological equivalence, characteristic equations, Sotomayor's theorem, and bifurcation theory. The sufficient conditions of saddle-node, Hopf, and Bogdanov-Takens bifurcations were established, respectively. Numerically, the theoretical findings were validated and some complicated dynamical behaviors as periodic fluctuation and multi-stability were revealed. The parameter critical values of saddle-node, Hopf bifurcation, and Bogdanov-Takens bifurcations were established. Biologically, how these factors of fear, Allee effect, and hunting cooperation affect the existence of equilibria and jointly affect the system dynamics were analyzed.https://www.aimspress.com/article/doi/10.3934/math.20241520?viewType=HTMLfearallee effecthunting cooperationequilibriumbifurcation |
| spellingShingle | Weili Kong Yuanfu Shao feasible generalized Liu estimator, least trimmed squares estimator, multicollinearity, outlier, semiparametric regression models AIMS Mathematics fear allee effect hunting cooperation equilibrium bifurcation |
| title | feasible generalized Liu estimator, least trimmed squares estimator, multicollinearity, outlier, semiparametric regression models |
| title_full | feasible generalized Liu estimator, least trimmed squares estimator, multicollinearity, outlier, semiparametric regression models |
| title_fullStr | feasible generalized Liu estimator, least trimmed squares estimator, multicollinearity, outlier, semiparametric regression models |
| title_full_unstemmed | feasible generalized Liu estimator, least trimmed squares estimator, multicollinearity, outlier, semiparametric regression models |
| title_short | feasible generalized Liu estimator, least trimmed squares estimator, multicollinearity, outlier, semiparametric regression models |
| title_sort | feasible generalized liu estimator least trimmed squares estimator multicollinearity outlier semiparametric regression models |
| topic | fear allee effect hunting cooperation equilibrium bifurcation |
| url | https://www.aimspress.com/article/doi/10.3934/math.20241520?viewType=HTML |
| work_keys_str_mv | AT weilikong feasiblegeneralizedliuestimatorleasttrimmedsquaresestimatormulticollinearityoutliersemiparametricregressionmodels AT yuanfushao feasiblegeneralizedliuestimatorleasttrimmedsquaresestimatormulticollinearityoutliersemiparametricregressionmodels |