{"title":"部分闭包中包含非选择收获的共生模型的动态行为","authors":"Qun Zhu, Shijia Lin, Runxin Wu, Fengde Chen","doi":"10.37394/23206.2023.22.88","DOIUrl":null,"url":null,"abstract":"A commensalism model incorporating nonselective harvesting in a partial closure is proposed and studied in this paper. Local and global stability properties of the equilibria are investigated, respectively. Our study shows that depending on the fraction of the stock available for harvesting, the system may be extinct, partial survival, or two species coexist in a stable state. Numeric simulations are carried out to show the feasibility of the main results.","PeriodicalId":55878,"journal":{"name":"WSEAS Transactions on Mathematics","volume":"6 9","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-10-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Dynamic Behaviors of a Commensalism Model Incorporating Nonselective Harvesting in a Partial Closure\",\"authors\":\"Qun Zhu, Shijia Lin, Runxin Wu, Fengde Chen\",\"doi\":\"10.37394/23206.2023.22.88\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A commensalism model incorporating nonselective harvesting in a partial closure is proposed and studied in this paper. Local and global stability properties of the equilibria are investigated, respectively. Our study shows that depending on the fraction of the stock available for harvesting, the system may be extinct, partial survival, or two species coexist in a stable state. Numeric simulations are carried out to show the feasibility of the main results.\",\"PeriodicalId\":55878,\"journal\":{\"name\":\"WSEAS Transactions on Mathematics\",\"volume\":\"6 9\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-10-23\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"WSEAS Transactions on Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.37394/23206.2023.22.88\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"WSEAS Transactions on Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.37394/23206.2023.22.88","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Mathematics","Score":null,"Total":0}
Dynamic Behaviors of a Commensalism Model Incorporating Nonselective Harvesting in a Partial Closure
A commensalism model incorporating nonselective harvesting in a partial closure is proposed and studied in this paper. Local and global stability properties of the equilibria are investigated, respectively. Our study shows that depending on the fraction of the stock available for harvesting, the system may be extinct, partial survival, or two species coexist in a stable state. Numeric simulations are carried out to show the feasibility of the main results.
期刊介绍:
WSEAS Transactions on Mathematics publishes original research papers relating to applied and theoretical mathematics. We aim to bring important work to a wide international audience and therefore only publish papers of exceptional scientific value that advance our understanding of these particular areas. The research presented must transcend the limits of case studies, while both experimental and theoretical studies are accepted. It is a multi-disciplinary journal and therefore its content mirrors the diverse interests and approaches of scholars involved with linear algebra, numerical analysis, differential equations, statistics and related areas. We also welcome scholarly contributions from officials with government agencies, international agencies, and non-governmental organizations.