{"title":"微生物相互作用数学模型的阈值","authors":"S. Jang, B. Jang","doi":"10.1109/CBMS.2000.856874","DOIUrl":null,"url":null,"abstract":"A mathematical model which consists of nutrient, prey and predator for microbial interaction is proposed. The model assumes that the predator may consume its own population and also incorporates the mechanism that the nutrient is growth-limiting to the prey population at low concentrations but may be growth-inhibiting at high concentrations. It is demonstrated that intratrophic predation of the top predator has no effect on the dynamics of the lower trophic levels. However, it may alter the dynamics of the higher trophic level.","PeriodicalId":189930,"journal":{"name":"Proceedings 13th IEEE Symposium on Computer-Based Medical Systems. CBMS 2000","volume":"9 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2000-06-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Thresholds for mathematical models of microbial interaction\",\"authors\":\"S. Jang, B. Jang\",\"doi\":\"10.1109/CBMS.2000.856874\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A mathematical model which consists of nutrient, prey and predator for microbial interaction is proposed. The model assumes that the predator may consume its own population and also incorporates the mechanism that the nutrient is growth-limiting to the prey population at low concentrations but may be growth-inhibiting at high concentrations. It is demonstrated that intratrophic predation of the top predator has no effect on the dynamics of the lower trophic levels. However, it may alter the dynamics of the higher trophic level.\",\"PeriodicalId\":189930,\"journal\":{\"name\":\"Proceedings 13th IEEE Symposium on Computer-Based Medical Systems. CBMS 2000\",\"volume\":\"9 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2000-06-23\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings 13th IEEE Symposium on Computer-Based Medical Systems. CBMS 2000\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CBMS.2000.856874\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings 13th IEEE Symposium on Computer-Based Medical Systems. CBMS 2000","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CBMS.2000.856874","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Thresholds for mathematical models of microbial interaction
A mathematical model which consists of nutrient, prey and predator for microbial interaction is proposed. The model assumes that the predator may consume its own population and also incorporates the mechanism that the nutrient is growth-limiting to the prey population at low concentrations but may be growth-inhibiting at high concentrations. It is demonstrated that intratrophic predation of the top predator has no effect on the dynamics of the lower trophic levels. However, it may alter the dynamics of the higher trophic level.
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