{"title":"两只猎物-一只捕食者的动态食物网模型与恐惧和收获","authors":"Bushra E. Kashem , Hassan F. Al-Husseiny","doi":"10.1016/j.padiff.2024.100875","DOIUrl":null,"url":null,"abstract":"<div><p>This study presents a predator-prey model within a food web, incorporating the impact of fear responses in prey and the effects of harvesting. The analysis begins by exploring equilibrium points and assessing the boundedness and uniqueness of the model's solutions. The local stability of each of the seven possible equilibrium points is then evaluated. To determine global stability, a suitable Lyapunov function is utilized. Finally, numerical simulations are carried out across different parameter values, with graphical representations provided to support the analytical findings.</p></div>","PeriodicalId":34531,"journal":{"name":"Partial Differential Equations in Applied Mathematics","volume":"11 ","pages":"Article 100875"},"PeriodicalIF":0.0000,"publicationDate":"2024-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S2666818124002614/pdfft?md5=bdaf12f3926b53cdb97a60d753ef6005&pid=1-s2.0-S2666818124002614-main.pdf","citationCount":"0","resultStr":"{\"title\":\"The dynamic of two prey–One predator food web model with fear and harvesting\",\"authors\":\"Bushra E. Kashem , Hassan F. Al-Husseiny\",\"doi\":\"10.1016/j.padiff.2024.100875\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>This study presents a predator-prey model within a food web, incorporating the impact of fear responses in prey and the effects of harvesting. The analysis begins by exploring equilibrium points and assessing the boundedness and uniqueness of the model's solutions. The local stability of each of the seven possible equilibrium points is then evaluated. To determine global stability, a suitable Lyapunov function is utilized. Finally, numerical simulations are carried out across different parameter values, with graphical representations provided to support the analytical findings.</p></div>\",\"PeriodicalId\":34531,\"journal\":{\"name\":\"Partial Differential Equations in Applied Mathematics\",\"volume\":\"11 \",\"pages\":\"Article 100875\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-09-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://www.sciencedirect.com/science/article/pii/S2666818124002614/pdfft?md5=bdaf12f3926b53cdb97a60d753ef6005&pid=1-s2.0-S2666818124002614-main.pdf\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Partial Differential Equations in Applied Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S2666818124002614\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"2024/8/26 0:00:00\",\"PubModel\":\"Epub\",\"JCR\":\"Q1\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Partial Differential Equations in Applied Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S2666818124002614","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"2024/8/26 0:00:00","PubModel":"Epub","JCR":"Q1","JCRName":"Mathematics","Score":null,"Total":0}
The dynamic of two prey–One predator food web model with fear and harvesting
This study presents a predator-prey model within a food web, incorporating the impact of fear responses in prey and the effects of harvesting. The analysis begins by exploring equilibrium points and assessing the boundedness and uniqueness of the model's solutions. The local stability of each of the seven possible equilibrium points is then evaluated. To determine global stability, a suitable Lyapunov function is utilized. Finally, numerical simulations are carried out across different parameter values, with graphical representations provided to support the analytical findings.
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