{"title":"基于捕食者收获Holling II型函数的捕食者-捕食者三物种模型","authors":"S. Vijaya, E. Rekha","doi":"10.1142/S1793048016500016","DOIUrl":null,"url":null,"abstract":"This paper presents three species harvesting model in which there is one predator species and two others are prey species. We derive boundedness and equilibrium point for this system. Also we derive the stability of this system analytically. We find bifurcation for this system. We have derived the binomic equilibrium point by using Pontryagin’s maximum principle (PMP). Presented are various suitable analytical and numerical examples with Maple 18 programming.","PeriodicalId":88835,"journal":{"name":"Biophysical reviews and letters","volume":"11 1","pages":"87-104"},"PeriodicalIF":0.0000,"publicationDate":"2016-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1142/S1793048016500016","citationCount":"5","resultStr":"{\"title\":\"Prey–Predator Three Species Model Using Predator Harvesting Holling Type II Functional\",\"authors\":\"S. Vijaya, E. Rekha\",\"doi\":\"10.1142/S1793048016500016\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper presents three species harvesting model in which there is one predator species and two others are prey species. We derive boundedness and equilibrium point for this system. Also we derive the stability of this system analytically. We find bifurcation for this system. We have derived the binomic equilibrium point by using Pontryagin’s maximum principle (PMP). Presented are various suitable analytical and numerical examples with Maple 18 programming.\",\"PeriodicalId\":88835,\"journal\":{\"name\":\"Biophysical reviews and letters\",\"volume\":\"11 1\",\"pages\":\"87-104\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2016-07-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1142/S1793048016500016\",\"citationCount\":\"5\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Biophysical reviews and letters\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1142/S1793048016500016\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Biophysical reviews and letters","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1142/S1793048016500016","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Prey–Predator Three Species Model Using Predator Harvesting Holling Type II Functional
This paper presents three species harvesting model in which there is one predator species and two others are prey species. We derive boundedness and equilibrium point for this system. Also we derive the stability of this system analytically. We find bifurcation for this system. We have derived the binomic equilibrium point by using Pontryagin’s maximum principle (PMP). Presented are various suitable analytical and numerical examples with Maple 18 programming.
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