Dynamics of Predator-Prey Model with Fear Factor and Impulsive Nonlinear Effects
In this article, we establish a predator–prey model with fear factor and impulsive nonlinear effects. The globally asymptotically stable conditions for the pest extinction periodic solution and the permanence condition of the formulated model are derived using Floquet theory and the comparison theor...
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| Format: | Article |
| Language: | English |
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MDPI AG
2025-05-01
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| Series: | Axioms |
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| Online Access: | https://www.mdpi.com/2075-1680/14/6/407 |
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| author | Jianjun Jiao Yunpeng Xiao Yumei Zhou |
| author_facet | Jianjun Jiao Yunpeng Xiao Yumei Zhou |
| author_sort | Jianjun Jiao |
| collection | DOAJ |
| description | In this article, we establish a predator–prey model with fear factor and impulsive nonlinear effects. The globally asymptotically stable conditions for the pest extinction periodic solution and the permanence condition of the formulated model are derived using Floquet theory and the comparison theorem of the impulsive differential equations. Simulations confirm the correctness of the theoretical results obtained in this paper and reveal the complex dynamics of the investigated model. Our results may assist pest control experts in determining the appropriate impulsive control period and release quantity of natural enemies for more effective pest management. |
| format | Article |
| id | doaj-art-e6913abec9564b2ebbc67adc58666c49 |
| institution | Kabale University |
| issn | 2075-1680 |
| language | English |
| publishDate | 2025-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj-art-e6913abec9564b2ebbc67adc58666c492025-08-20T03:27:11ZengMDPI AGAxioms2075-16802025-05-0114640710.3390/axioms14060407Dynamics of Predator-Prey Model with Fear Factor and Impulsive Nonlinear EffectsJianjun Jiao0Yunpeng Xiao1Yumei Zhou2School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang 550025, ChinaSchool of Mathematical Sciences, Guizhou Normal University, Guiyang 550025, ChinaSchool of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang 550025, ChinaIn this article, we establish a predator–prey model with fear factor and impulsive nonlinear effects. The globally asymptotically stable conditions for the pest extinction periodic solution and the permanence condition of the formulated model are derived using Floquet theory and the comparison theorem of the impulsive differential equations. Simulations confirm the correctness of the theoretical results obtained in this paper and reveal the complex dynamics of the investigated model. Our results may assist pest control experts in determining the appropriate impulsive control period and release quantity of natural enemies for more effective pest management.https://www.mdpi.com/2075-1680/14/6/407pest management modelfear factorimpulsive nonlinear sprayingextinctionpermanence |
| spellingShingle | Jianjun Jiao Yunpeng Xiao Yumei Zhou Dynamics of Predator-Prey Model with Fear Factor and Impulsive Nonlinear Effects Axioms pest management model fear factor impulsive nonlinear spraying extinction permanence |
| title | Dynamics of Predator-Prey Model with Fear Factor and Impulsive Nonlinear Effects |
| title_full | Dynamics of Predator-Prey Model with Fear Factor and Impulsive Nonlinear Effects |
| title_fullStr | Dynamics of Predator-Prey Model with Fear Factor and Impulsive Nonlinear Effects |
| title_full_unstemmed | Dynamics of Predator-Prey Model with Fear Factor and Impulsive Nonlinear Effects |
| title_short | Dynamics of Predator-Prey Model with Fear Factor and Impulsive Nonlinear Effects |
| title_sort | dynamics of predator prey model with fear factor and impulsive nonlinear effects |
| topic | pest management model fear factor impulsive nonlinear spraying extinction permanence |
| url | https://www.mdpi.com/2075-1680/14/6/407 |
| work_keys_str_mv | AT jianjunjiao dynamicsofpredatorpreymodelwithfearfactorandimpulsivenonlineareffects AT yunpengxiao dynamicsofpredatorpreymodelwithfearfactorandimpulsivenonlineareffects AT yumeizhou dynamicsofpredatorpreymodelwithfearfactorandimpulsivenonlineareffects |